Preprints and papers

• Explicit numerical computation of normal forms for Poincaré maps
  Joan Gimeno, Àngel Jorba, Marc Jorba-Cuscó and Maorong Zou
  Abstract (ASCII file), PDF version (2 MB). (Nov 2024)
• A note on the local behavior of the Taylor method for stiff ODEs
  Philip P. Forrier, Joan Gimeno and Àngel Jorba
  Abstract (ASCII file), PDF version (1 MB). (Jul 2024)
• A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP
  Àngel Jorba, Begoña Nicolás and Óscar Rodríguez
  Chaos 34, 123116 (2024).
  DOI:10.1063/5.0234410 (Open Access)
• Dynamics around the Earth-Moon triangular points in the Hill Restricted 4-Body Problem
  Luke T. Peterson, Gavin Brown, Àngel Jorba and Daniel Scheeres
  Celestial Mechanics and Dynamical Astronomy 136, article number 31, (2024)
  DOI: 10.1007/s10569-024-10203-5 (Open Access)
  

• On the effect of the Sun on Kordylewski clouds
  Joan Gimeno, Àngel Jorba, Marc Jorba-Cuscó and Begoña Nicolás
  Celestial Mechanics and Dynamical Astronomy 136, article number 23 (2024).
  DOI: 10.1007/s10569-024-10188-1 (Open Access)
  
• Non-smooth pitchfork bifurcations in a quasi-periodically forced piecewise-linear map
  Àngel Jorba, Joan Carles Tatjer and Yuan Zhang
  International Journal of Bifurcation and Chaos 34:7 (2024) 450084
  DOI: 10.1142/S0218127424500846 (Open Access)
  
• Invariant Manifolds near L1 and L2 in the Sun-Jupiter Elliptic Restricted Three-Body Problem II. The dynamics of comet Oterma
  Gladston Duarte and Àngel Jorba
  Celestial Mechanics and Dynamical Astronomy 136, article number 49 (2024).
  DOI: 10.1007/s10569-024-10218-y (Open Access)
  
• Invariant Manifolds near L1 and L2 in the Sun-Jupiter Elliptic Restricted Three-Body Problem I
  Gladston Duarte and Àngel Jorba
  Celestial Mechanics and Dynamical Astronomy 136, article number 26 (2024).
  DOI: 10.1007/s10569-024-10194-3 (Open Access)
  
• Invariant manifolds near L1 and L2 in the Quasi-bicircular Problem
  José J. Rosales, Àngel Jorba, Marc Jorba-Cuscó
  Celestial Mechanics and Dynamical Astronomy 135, article number 15 (2023).
  DOI: 10.1007/s10569-023-10129-4 (Open Access)
  
• Numerical integration of high-order variational equations of ODEs
  Joan Gimeno, Àngel Jorba, Marc Jorba-Cuscó, Narcís Miguel and Maorong Zou
  Applied Mathematics and Computation 442 (2023) 127743.
  DOI: 10.1016/j.amc.2022.127743 (Open Access)
  
• Using normal forms to study Oterma's transition in the Planar RTBP
  Gladston Duarte, Àngel Jorba
  Discrete and Continuous Dynamical Systems - B 28:1, pp. 230-244 (2023).
  DOI: 10.3934/dcdsb.2022073 (Open Access)
  This is the preprint version:
  Abstract (ASCII file), PDF version (0.6 MB). (Sep 2021)

• Numerical computation of high-order expansions of invariant manifolds of high-dimensional tori
  Joan Gimeno, Àngel Jorba, Begoña Nicolás, Estrella Olmedo
  SIAM Journal on Applied Dynamical Systems 21:3, pp. 1832-1861 (2022).
  DOI: 10.1137/21M1458363
  This is the preprint version:
  Abstract (ASCII file), PDF version (0.42 MB). (Nov 2021)

• Computational methods in perturbation theory
  Àngel Jorba
  Encyclopedia of Complexity and Systems Science (2022)
  DOI: 10.1007/978-3-642-27737-5_758-1
  This is the preprint version:
  Abstract (ASCII file), PDF version (0.15 MB). (Dec 2021)

• Dynamical organization of recollisions by a family of invariant tori
  Jonathan Dubois, Marc Jorba-Cusco, Àngel Jorba, Cristel Chandre
  SIAM Journal on Applied Dynamical Systems 21:1, pp. 523-541 (2022).
  DOI: 10.1137/21M1400912
  This is the preprint version:
  Abstract (ASCII file), PDF version (2.8 MB). (Mar 2021)

• Triggering recollisions with XUV pulses: Imprint of recolliding periodic orbits
  Jonathan Dubois, Àngel Jorba
  Communications in Nonlinear Science and Numerical Simulation 106 (2022) 106104.
  DOI: 10.1016/j.cnsns.2021.106104
  This is the preprint version:
  Abstract (ASCII file), PDF version (3.4 MB). (Nov 2021)

• Transfers from the Earth to L2 Halo orbits in the Earth-Moon Bicircular Problem
  José J. Rosales, Àngel Jorba, Marc Jorba-Cuscó
  Celestial Mechanics and Dynamical Astronomy 133, article number 55 (2021).
  DOI: 10.1007/s10569-021-10054-4 (Open Access)
  

• Leveraging L3 to Transfer to L4 in the Sun-perturbed Earth-Moon System
  (Revised version of: Leverage L3 to Triangular Libration Points Transfer in Sun-perturbed Earth-Moon System)
  Yuying Liang, Begoña Nicolás, Àngel Jorba (Open Access)
  Acta Astronautica 189, pp. 337-348 (2021).
  DOI: 10.1016/j.actaastro.2021.08.034
  This is the preprint version:
  Abstract (ASCII file), PDF version (7 MB). (Feb 2020)

• Using invariant manifolds to capture an asteroid near the L3 point of the Earth-Moon Bicircular model
  Àngel Jorba, Begoña Nicolás
  Communications in Nonlinear Science and Numerical Simulation 102 (2021) 105948.
  DOI: 10.1016/j.cnsns.2021.105948 (Open Access)
  

• Families of Halo-like invariant tori around L2 in the Earth-Moon Bicircular Problem
  José J. Rosales, Àngel Jorba, Marc Jorba-Cuscó
  Celestial Mechanics and Dynamical Astronomy 133, article number: 16 (2021).
  DOI: 10.1007/s10569-021-10012-0
  This is the preprint version:
  Abstract (ASCII file), PDF version (8.8 MB). (Feb 2020)

• On the stabilizing effect of Solar Radiation Pressure in the Earth-Moon system
  Marc Jorba-Cuscó, Ariadna Farrés, Àngel Jorba
  Advances in Space Research 67:9, pp. 2812-2822 (2021)
  DOI: 10.1016/j.asr.2020.01.017
  This is the preprint version:
  Abstract (ASCII file), PDF version (0.5 MB), (Sep 2019)

• Transport and invariant manifolds near L3 in the Earth-Moon Bicircular model
  Àngel Jorba, Begoña Nicolás
  Communications in Nonlinear Science and Numerical Simulation 89 (2020) 105327.
  DOI: 10.1016/j.cnsns.2020.105327
  This is the preprint version:
  Abstract (ASCII file), PDF version (6 MB). (Jan 2020)

• Using Automatic Differentiation to compute periodic orbits of Delay Differential Equations
  Joan Gimeno, Àngel Jorba
  Discrete and Continuous Dynamical Systems - Series B 22 (2020)
  DOI: 10.3934/dcdsb.2020130
  This is the preprint version:
  Abstract (ASCII file), PDF version (784 KB). (Dec 2019)

• Braids with the symmetries of Platonic polyhedra in the Coulomb (N+1)-body problem
  Marco Fenucci, Àngel Jorba
  Communications in Nonlinear Science and Numerical Simulation 83 (2020) 105105.
  DOI: 10.1016/j.cnsns.2019.105105
  This is the preprint version:
  Abstract (ASCII file), PDF version (0.8 MB), Movies and extra data. (Jul 2019)

• The vicinity of the Earth-Moon L1 point in the Bicircular Problem
  Àngel Jorba, Marc Jorba-Cuscó, José J. Rosales
  Celestial Mechanics and Dynamical Astronomy 132:11 (2020)
  DOI: 10.1007/s10569-019-9940-2
  This is the preprint version:
  Abstract (ASCII file), PDF version (7 MB). (Apr 2019)

• Classification of linear skew-products of the complex plane and an affine route of fractalization
  Núria Fagella, Àngel Jorba, Marc Jorba-Cuscó, Joan Carles Tatjer
  Discrete and Continuous Dynamical Systems - Series A 39:7, pp. 3767-3787 (2019).
  DOI: 10.3934/dcds.2019153
  This is the preprint version:
  Abstract (ASCII file), PDF version (1.7 MB). (Nov 2018)
  This is a revised version of the preprint "A fractalization route for affine skew-products on the complex plane" (Feb 2018).

• Solar Sail resonant periodic orbits in the augmented Earth-Moon Quasi-Bicircular Problem
  Marc Jorba-Cuscó, Ariadna Farrés, Àngel Jorba
  69th International Astronautical Congress 2018, Bremen, Germany
  Abstract (ASCII file), PDF version (4 MB). (Oct 2018)

• Two periodic models for the Earth-Moon system
  Marc Jorba-Cuscó, Ariadna Farrés, Àngel Jorba
  Frontiers in Applied Mathematics and Statistics 4:32 (2018).
  DOI: 10.3389/fams.2018.00032
  This is the preprint version:
  Abstract (ASCII file), PDF version (1.5 MB). (Jun 2018)

• On the effect of time lags on a saddle-node remnant in hyperbolic replicators
  Joan Gimeno, Àngel Jorba, Josep Sardanyes
  Journal of Physics A: Mathematical and Theoretical 51:38 (2018).
  DOI: 10.1088/1751-8121/aad02f
  This is the preprint version:
  Abstract (ASCII file), PDF version (872 KB). (May 2018)

• On non-smooth pitchfork bifurcations in invertible quasi-periodically forced 1-D maps
  Àngel Jorba, Francisco Javier Muñoz-Almaraz and Joan Carles Tatjer
  Journal of Difference Equations and Applications 24:4, pp. 588-608 (2018).
  DOI: 10.1080/10236198.2017.1331889
  This is the preprint version:
  Abstract (ASCII file), PDF version (9 MB). (Jun 2016)

• Numerical study of the geometry of the phase space of the augmented Hill Three-Body Problem
  Ariadna Farrés, Àngel Jorba and Josep-Maria Mondelo
  Celestial Mechanics and Dynamical Astronomy 129, pp. 25-55 (2017).
  This is the preprint version:
  Abstract (ASCII file), PDF version (7 MB). (Feb 2017)

• A simple model for the location of Saturn's F ring
  Luis Benet, Àngel Jorba
  Icarus 285, pp. 224-236 (2017).
  This is the preprint version:
  Abstract (ASCII file), PDF version (6 MB) (Dec 2016)

• Dynamics, geometry and Solar sails
  Ariadna Farrés and Àngel Jorba
  Indagationes Mathematicae 27:5, pp. 1245-1264 (2016).
  This is the preprint version:
  Abstract (ASCII file), PDF version (10.5MB). (Apr 2016)

• Weakly hyperbolic invariant tori for two dimensional quasiperiodically forced maps in a degenerate case
  Tingting Zhang, Àngel Jorba and Jianguo Si
  Discrete and Continuous Dynamical Systems - Series A 36:11, pp. 6599-6622 (2016).
  This is the preprint version:
  Abstract (ASCII file), PDF version (350 KB). (Jan 2016)

• Local study of a renormalization operator for 1D maps under quasiperiodic forcing
  Àngel Jorba, Pau Rabassa and Joan Carles Tatjer
  Discrete and Continuous Dynamical Systems - Series S 9:4, pp. 1171-1188 (2016).
  This is the preprint version:
  Abstract (ASCII file), PDF version (440 KB). (Sep 2015)

• Station Keeping Strategies for a Solar Sail in the Solar System
  Ariadna Farrés and Àngel Jorba
  Chapter 3 in: B. Bonnard and M. Chyba (eds.), Recent Advances in Celestial and Space Mechanics. Mathematics for Industry 23, Springer, pp. 83-115 (2016).
  This is the preprint version:
  Abstract (ASCII file), PDF version (1.5MB).

• The Lagrangian solutions
  Àngel Jorba
  UNESCO Encyclopedia of Life Support Systems, Vol. 6.119.55 Celestial Mechanics, Eolss Publishers Co Ltd. (2015)
  This is the preprint version:
  Abstract (ASCII file), PDF version (1.8MB). (Dec 2012)

• A renormalization operator for 1D maps under quasi-periodic perturbations
  Àngel Jorba, Pau Rabassa and Joan Carles Tatjer
  Nonlinearity 28:4, pp. 1017-1042 (2015).
  This is the preprint version:
  Abstract (ASCII file), PDF version (440 KB). (Jun 2014)

• Orbital dynamics for a non-perfectly reflecting Solar sail close to an asteroid
  Ariadna Farrés, Àngel Jorba and Josep Maria Mondelo
  Proceedings of the 2nd IAA Conference on Dynamics and Control of Space Systems held in Rome, 24-26 March 2014
  This is the preprint version:
  Abstract (ASCII file), PDF version (4.5 MB). (Apr 2014)

• Superstable periodic orbits of 1d maps under quasi-periodic forcing and reducibility loss
  Àngel Jorba, Pau Rabassa and Joan Carles Tatjer
  Discrete and Continuous Dynamical Systems - Series A 34:2, pp. 589-597 (2014).
  This is the preprint version:
  Abstract (ASCII file), PDF version (249 KB). (Feb 2013)

• Station keeping of a Solar sail around a Halo orbit
  Ariadna Farrés and Àngel Jorba
  Acta Astronautica 94:1, pp. 527-539 (2014).
  This is the preprint version:
  Abstract (ASCII file), PDF version (1.7 MB). (Apr 2012)

• Numerical results on a simple model for the confinement of Saturn's F ring
  Luis Benet and Àngel Jorba
  S. Ibáñez, J.S. Pérez del Río, A. Pumariño, J.A. Rodríguez (Eds.). Progress and Challenges in Dynamical Systems, Springer Proceedings in Mathematics & Statistics Vol. 54, pp. 65-75 (2013).
  This is the preprint version:
  Abstract (ASCII file), PDF version (331KB). (Dec 2012)

• A numerical study of universality and self-similarity in the forced logistic map
  Pau Rabassa, Àngel Jorba and Joan Carles Tatjer
  International Journal of Bifurcation and Chaos 23:4 (2013) 1350072
  DOI: 10.1142/S0218127413500727
  This is the preprint version:
  Abstract (ASCII file), PDF version (217 KB). (Apr 2012)

• Orbital dynamics of a Solar sail near L1 and L2 in the elliptic Hill problem
  Ariadna Farrés and Àngel Jorba
  Proceedings of the 63rd International Astronautical Congress 2012
  Abstract (ASCII file), PDF version (588K). (Oct 2012)

• Period doubling and reducibility in the quasi-periodically forced logistic map
  Àngel Jorba, Pau Rabassa and Joan Carles Tatjer
  Discrete and Continuous Dynamical Systems - Series B 17:5, pp. 1507-1535 (2012).
  This is the preprint version:
  Abstract (ASCII file), PDF version (3.2 MB). (Jul 2011)

• Hopf bifurcations to quasi-periodic solutions for the two-dimensional plane Poiseuille flow
  Pablo S. Casas and Àngel Jorba
  Communications in Nonlinear Science and Numerical Simulation 17:7, pp. 2864-2882 (2012).
  This is the preprint version:
  Abstract (ASCII file), PDF version (4.3 MB). (Jul 2011)

• Station keeping of a Solar sail in the Solar system
  Ariadna Farrés and Àngel Jorba
  Proceedings of the 62th International Astronautical Congress 2011
  Abstract (ASCII file), PDF version (559 KB). (Sep 2011)

• On the station keeping of a Solar sail in the Elliptic Sun-Earth system
  Ariadna Farrés and Àngel Jorba
  Advances in Space Research 48, pp. 1785-1796 (2011).
  This is the preprint version:
  Abstract (ASCII file), PDF version (2.3 MB). (Nov 2010)

• Dynamics of a Solar sail near a Halo orbit
  Ariadna Farrés and Àngel Jorba
  Acta Astronautica 67:7-8, pp. 979-990 (2010).
  DOI: 10.1016/j.actaastro.2010.05.022
  This is the preprint version:
  Abstract (ASCII file), PDF version (3.9 MB). (Jan 2010)

• Periodic and quasi periodic motions of a solar sail close to SL1 in the Earth-Sun system
  Ariadna Farrés and Àngel Jorba
  Celestial Mechanics and Dynamical Astronomy 107:1-2, pp. 233-253 (2010).
  This is the preprint version:
  Abstract (ASCII file), PDF version (9.5 MB). (Dec 2009)

• On the high order approximation of the centre manifold for ODEs
  Ariadna Farrés and Àngel Jorba
  Discrete and Continuous Dynamical Systems - Series B 14:3, pp. 977-1000 (2010).
  This is the preprint version:
  Abstract (ASCII file), PDF version (1.8 MB). (Dec 2009)

• Jet transport and applications to NEOs
  Elisa M. Alessi, Ariadna Farrés, Àngel Jorba, Carles Simó and Arturo Vieiro
  Proceedings of the 1st IAA Planetary Defense Conference: Protecting Earth from Asteroids
  This is the preprint version:
  Abstract (ASCII file), PDF version (1.2 MB). (May 2009)

• On the computation of reducible invariant tori on a parallel computer
  Àngel Jorba and Estrella Olmedo
  SIAM Journal on Applied Dynamical Systems 8:4, pp. 1382-1404, (2009).
  This is the preprint version:
  Abstract (ASCII file), PDF version (592 KB). (May 2008)

• Efficient Usage of Self Validated Integrators for Space Applications
  Elisa M. Alessi, Ariadna Farrés, Àngel Jorba, Carles Simó and Arturo Vieiro
  European Space Agency, the Advanced Concepts Team, Ariadna Final Report 07-5202 (2008).
  Abstract (ASCII file), PDF version (3.3 MB), The same pdf, but from ESA website

• A dynamical systems approach for the station keeping of a Solar Sail
  Ariadna Farrés and Àngel Jorba
  The Journal of the Astronautical Sciences 56:2, pp. 199-230, (2008).
  This is the preprint version:
  Abstract (ASCII file), PDF version (10 MB). (Dec 2007)

• Solar sail surfing along families of equilibrium points
  Ariadna Farrés and Àngel Jorba
  Acta Astronautica 63:1-4, pp. 249-257 (2008). This is the preprint version:
  Abstract (ASCII file), PDF version (300 KB). (Oct 2007)

• Station keeping close to unstable equilibrium points with a solar sail
  Ariadna Farrés and Àngel Jorba
  Proceedings of the 2007 AAS/AIAA Astrodynamics Specialist Conference.
  This is the preprint version:
  Abstract (ASCII file), PDF version (808 KB). (Oct 2007)

• A mechanism for the fractalization of invariant curves in quasi-periodically forced 1-D maps
  Àngel Jorba and Joan Carles Tatjer
  Discrete and Continuous Dynamical Systems - Series B 10:2-3, pp. 537-567 (2008).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (5.5 Mb), PDF version (9.5 Mb). (Jun 2005)

• Old and new results on SNAs on the real line
  Àngel Jorba, Carmen Núñez, Rafael Obaya, Joan Carles Tatjer
  Published as:
  Old and new results on Strange Nonchaotic Attractors
  International Journal of Bifurcation and Chaos 17:11, pp. 3895-3928 (2007).
  This is the preprint version:
  Abstract (ASCII file), PDF version (494 Kb). (May 2006)

• On the existence of patterns for a diffusion equation on a convex domain with nonlinear boundary reaction
  Neus Cónsul and Àngel Jorba.
  International Journal of Bifurcation and Chaos 15:10, pp. 3321-3328 (2005).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (271 Kb), PDF version (409 Kb). (July 2004)

• The observed Trojans and the global dynamics around the Lagrangian points of the Sun-Jupiter system
  Philippe Robutel, Frederic Gabern and Àngel Jorba.
  Celestial Mechanics and Dynamical Astronomy 92, pp. 53-69 (2005).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (538 Kb), PDF version (501 Kb). (July 2004)

• Effective computation of the dynamics around a two-dimensional torus of a Hamiltonian system
  Frederic Gabern and Àngel Jorba.
  Journal of Nonlinear Science 15, pp. 159-182 (2005).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (980 Kb), PDF version (2.0 Mb). (March 2004)

• A software package for the numerical integration of ODE by means of high-order Taylor methods
  Àngel Jorba and Maorong Zou.
  Experimental Mathematics 14, pp. 99-117 (2005).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (173 Kb), zipped version (173 Kb), software.

• On the construction of the Kolmogorov normal form for the Trojan asteroids
  Frederic Gabern, Àngel Jorba and Ugo Locatelli.
  Nonlinearity 18, pp. 1705-1734 (2005).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (571 Kb), PDF version (619 Kb). (October 2004)

• KAM theory without action-angle variables
  Rafael de la Llave, Alejandra González, Àngel Jorba, Jordi Villanueva
  Nonlinearity 18, pp. 855-895 (2005).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (218 Kb), zipped version (219 Kb). (Sep 2003)

• On the Lagrangian points of the real Earth-Moon system
  Enric Castellà, Àngel Jorba
  Proceedings of the International Conference on Differential Equations Equadiff 2003, pp. 3-12. World Scientific, 2005. ISBN: 981-256-169-2
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (458 Kb), zipped version (459 Kb).

• A parallel method to compute quasi-periodic solutions
  Àngel Jorba, Estrella Olmedo
  Proceedings of the International Conference on Differential Equations Equadiff 2003, pp. 181-183. World Scientific, 2005. ISBN: 981-256-169-2
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (37 Kb), zipped version (38 Kb).

• On the fractalization of invariant curves
  Àngel Jorba, Joan Carles Tatjer
  Proceedings of the International Conference on Differential Equations Equadiff 2003, pp. 619-624. World Scientific, 2005. ISBN: 981-256-169-2
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (1.2 Mb), zipped version (1.2 Mb).

• Quasi-periodic response solutions at normal-internal resonances
  Henk Broer, Heinz Hanßmann, Àngel Jorba, Jordi Villanueva, Florian Wagener
  Proceedings of the International Conference on Differential Equations Equadiff 2003, pp. 702-707. World Scientific, 2005. ISBN: 981-256-169-2
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (2.9 Mb), zipped version (2.9 Mb).

• Hopf bifurcations to quasi-periodic solutions for the two-dimensional Poiseuille flow
  Pablo S. Casas and Àngel Jorba.
  Abstract (ASCII file), gzipped PostScript (584 Kb), zipped version (620 Kb).

• On the accuracy of Restricted Three-Body Models for the Trojan motion
  Discrete and Continuous Dynamical Systems - Series A, Vol. 11, No. 4, pp. 843-854 (2004).
  This is the preprint version:
  Frederic Gabern, Àngel Jorba and Philippe Robutel.
  Abstract (ASCII file), gzipped PostScript (180 Kb), Pdf (325 Kb).

• Unstable manifolds computation for the two-dimensional plane Poiseuille flow
  Pablo S. Casas, Àngel Jorba.
  Theoretical and Computational Fluid Dynamics 18:2-4, pp. 285-299 (2004).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (6.7 Mb), zipped version (6.7 Mb).

• Generalizing the Restricted Three-Body Problem. The Bianular and Tricircular Coherent Problems
  Frederic Gabern and Àngel Jorba.
  Astronomy and Astrophysics 420, pp. 751-762 (2004).
  This is the preprint version (with a slightly different title):
  Abstract (ASCII file), gzipped PostScript (792 Kb), Acrobat Pdf (1.3 Mb). PostScript+additional files (826 Kb).

• Invariant curves near Hamiltonian-Hopf bifurcations of 4D symplectic maps
  Àngel Jorba, Mercè Ollé.
  Nonlinearity 17, pp. 691-710 (2004).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (1.8 Mb), zipped version (1.8 Mb).

• Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach
  Henk Broer, Heinz Hanßmann, Àngel Jorba, Jordi Villanueva and Florian Wagener.
  Nonlinearity 16, pp. 1751-1791 (2003).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (3.3 Mb), zipped version (3.3 Mb).

• Normal form for a quasi-periodic perturbation of the Sun-Jupiter RTBP
  Frederic Gabern and Àngel Jorba.
  Actas del XVIII CEDYA / VIII CMA, Universitat de Tarragona (2003).
  Abstract (ASCII file), gzipped PostScript (863 Kb). Acrobat Pdf (527 Kb).

• Cálculo de soluciones cuasi-periódicas reducibles en un computador paralelo
  Àngel Jorba, Estrella Olmedo
  Actas del XVIII CEDYA / VIII CMA, Universitat de Tarragona (2003).
  Abstract (ASCII file), gzipped PostScript (179 Kb), zipped version (180 Kb).

• Restricted four and five-body problems in the Solar system
  Frederic Gabern and Àngel Jorba.
  Proceedings of the Conference on Libration Point Orbits and Applications, G. Gómez, M.W. Lo and J.J. Masdemont (Eds.), World Scientific Publishing Co. ISBN 981-238-363-8, pp. 573-586 (2003).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (240 Kb), zipped version (240 Kb).

• Some models for the Trojan motion
  Frederic Gabern and Àngel Jorba.
  Proceedings de las V Jornadas de Mecánica Celeste. Monografías de la Real Academia de Ciencias de Zaragoza, Vol. 22, pp. 11-20 (2003).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (624 Kb), zipped version (625 Kb).

• On the dynamics near the Lagrangian points of the real Earth-Moon system
  Enric Castellà and Àngel Jorba.
  Proceedings de las V Jornadas de Mecánica Celeste. Monografías de la Real Academia de Ciencias de Zaragoza, Vol. 22, pp. 1-10 (2003).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (290 Kb), zipped version (291 Kb).

• On the divergence of polynomial interpolation
  Àngel Jorba and Joan Carles Tatjer
  Journal of Approximation Theory 120, pp. 85-110 (2003).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (156 Kb), zipped version (156 Kb).

• On the triangular points of the Sun-Jupiter system
  Frederic Gabern and Àngel Jorba
  Proceedings of the Third Meeting on Celestial Mechanics CELMEC III
  Modern Celestial Mechanics: From Theory to Applications. Kluwer Academic Publishers, Dordrecht (2002). ISBN:1-4020-0762-0
  This is the preprint version:
  Abstract (ASCII file), PDF version (1.2 MB).

• Sobre los puntos Lagrangianos del sistema Sol-Júpiter
  Frederic Gabern and Àngel Jorba
  Actas del XVII CEDYA / VII CMA, Universidad de Salamanca (2001)
  Abstract (ASCII file), gzipped PostScript (80 Kb), zipped version (80 Kb).

• KAM theory without action-angle coordinates
  Alejandra González, Àngel Jorba, Rafael de la Llave and Jordi Villanueva
  Actas del XVII CEDYA / VII CMA, Universidad de Salamanca (2001)
  Abstract (ASCII file), gzipped PostScript (76 Kb), zipped version (76 Kb).

• Unstable quasi-periodic solutions for the 2-D Poiseuille problem
  Pablo S. Casas, Àngel Jorba
  Actas del XVII CEDYA / VII CMA, Universidad de Salamanca (2001)
  Abstract (ASCII file), gzipped PostScript (2176 Kb), zipped version (2364 Kb)

• A restricted four-body model for the dynamics near the Lagrangian points of the Sun-Jupiter system
  Frederic Gabern, Àngel Jorba
  Discrete and Continuous Dynamical Systems - Series B, Vol. 1, No. 2, pp. 143-182 (2001).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (1178 Kb), zipped version (1179 Kb), PostScript+additional files (tar+gzip, 1209 Kb).

• Numerical computation of the normal behaviour of invariant curves of n-dimensional maps
  Àngel Jorba
  Nonlinearity, Vol. 14, No. 5, pp. 943-976 (2001).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (363 Kb), zipped version (364 Kb)

• The fine geometry of the Cantor families of invariant tori in Hamiltonian systems
  Àngel Jorba, Jordi Villanueva
  European Congress of Mathematics (Barcelona, July 10-14, 2000), Vol. II, pp. 557-564. Birkäuser Verlag, 2001.
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (68 Kb), zipped version (70 Kb)

• A numerical study on the existence of stable motions near the triangular points of the real Earth-Moon system.
  Àngel Jorba
  Astronomy and Astrophysics 364, pp. 327-338 (2000).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (694 Kb), zipped version (708 Kb),

• A numerical method for computing unstable quasi-periodic solutions for the 2-D Poiseuille flow
  Pablo S. Casas, Àngel Jorba
  International Conference on Differential Equations, Vol 2, pp. 884-886 (2000).
  (those are the Proceedings of the Equadiff Conference held in Berlin, Germany, August 1-7, 1999).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (205 Kb), zipped version (206 Kb)

• On Practical Stability Regions for the Motion of a Small Particle close to the Equilateral Points of the Real Earth-Moon system
  Àngel Jorba
  Hamiltonian Systems and Celestial Mechanics, World Scientific Monograph Series in Mathematics - Vol. 6, pp. 197-213 (2000).
  (Those are the proceedings of the III International Symposium HAMSYS-98. Geometrical Methods in Hamiltonian Systems and Celestial Mechanics, held in Patzcuaro, Mexico, December 7-11, 1998).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (319 Kb), zipped version (320 Kb)

• On the vertical families of two-dimensional tori near the triangular points of the Bicircular problem
  Enric Castellà, Àngel Jorba
  Celestial Mechanics and Dynamical Astronomy 76, pp. 35-54 (2000).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (1754 Kb), zipped version (1755 Kb).

• Numerical study of bifurcations for the 2-D Poiseuille problem
  Pablo S. Casas, Àngel Jorba
  Actas del XVI CEDYA / VI CMA, Universidad de la Palmas de Gran Canaria, pp. 1005-1012 (1999).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (201 Kb), zipped version (202 Kb)

• Dynamics in the centre manifold of the collinear points of the Restricted Three Body Problem
  Àngel Jorba, Josep Masdemont
  Physica D 132, pp. 189-213 (1999).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (934 Kb), zipped PostScript (919 Kb).

• A Methodology for the Numerical Computation of Normal Forms, Centre Manifolds and First Integrals of Hamiltonian Systems
  Àngel Jorba
  Experimental Mathematics 8, pp. 155-195 (1999).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (390 Kb), zipped PostScript (384 Kb), PostScript+updated software (tar+gzip, 460 Kb).

• Lindstedt Series for Lower Dimensional Tori
  Àngel Jorba, Rafael de la Llave, Maorong Zou
  NATO Adv. Sci. Ins. Ser. C Math. Phys. Sci. (C. Simó, ed.), Kluwer, pp. 151-167 (1999).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (75 Kb), zipped version (77 Kb).

• Splitting of separatrices for (fast) quasiperiodic forcing
  Amadeu Delshams, Vassili Gelfreich, Àngel Jorba, Tere M.Seara
  NATO Adv. Sci. Ins. Ser. C Math. Phys. Sci. (C. Simó, ed.), Kluwer, pp. 367-371 (1999).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (42 Kb), zipped version (42 Kb).

• Effective Stability Around Periodic Orbits of the Spatial RTBP
  Àngel Jorba, Jordi Villanueva
  NATO Adv. Sci. Ins. Ser. C Math. Phys. Sci. (C. Simó, ed.), Kluwer, pp. 628-632 (1999).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (35 Kb), zipped version (36 Kb).

• Nonlinear Dynamics in an Extended Neighbourhood of the Translunar Equilibrium Point
  Àngel Jorba, Josep Masdemont
  NATO Adv. Sci. Ins. Ser. C Math. Phys. Sci. (C. Simó, ed.), Kluwer, pp. 430-434 (1999).
  This is the preprint version:
  Abstract (ASCII file) gzipped PostScript (219 Kb), zipped version (224 Kb).

• Study of the Transfer between Halo Orbits
  Gerard Gómez, Àngel Jorba, Josep Masdemont, Carles Simó
  Acta Astronautica 43, pp. 493-520 (1998).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (715 Kb), zipped version (732 Kb).

• Stability and Asymptotic Behaviour of the Vertical Family of Periodic Orbits around L₅ of the Restricted Three Body Problem
  Àngel Jorba, Jordi Villanueva
  Actas del XV CEDYA / V CMA, Universidad de Vigo, pp. 303-308 (1998).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (76 Kb), zipped version (77 Kb).

• Numerical Computation of Normal Forms Around Some Periodic Orbits of the Restricted Three Body Problem
  Àngel Jorba, Jordi Villanueva
  Physica D 114, pp. 197-229 (1998).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (992 Kb), zipped version (1016 Kb).

• Numerical integration of the equilibrium equations and compatibility in the photoelastic experimental analysis
  Frederic Marimón, Àngel Jorba, Francesc Roure
  Actas del XV CEDYA / V CMA, Universidade de Vigo, pp. 953-958 (1998).

• Mecánica Hamiltoniana y Teoría de Perturbaciones (in Spanish)
  Àngel Jorba
  Course given in the Summer School Iniciación a los Sistemas Dinámicos, organized by Universidad Complutense de Madrid (1997).
  gzipped PostScript (70 Kb), zipped version (70 Kb),

• On the Normal Behaviour of Partially Elliptic Lower Dimensional Tori of Hamiltonian Systems
  Àngel Jorba, Jordi Villanueva
  Nonlinearity 10, pp. 783-822 (1997).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (247 Kb), zipped version (253 Kb), LaTex 2.09, gzipped(45 Kb)

• Exponentially small splitting of separatrices under fast quasiperiodic forcing
  Amadeu Delshams, Vassili Gelfreich, Àngel Jorba, Tere M.Seara
  Communications in Mathematical Physics 189, pp. 35-71 (1997).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (137 Kb), zipped version (140 Kb).

• On the persistence of lower dimensional invariant tori under quasiperiodic perturbations
  Àngel Jorba, Jordi Villanueva
  Journal of Nonlinear Science 7, pp. 427-473 (1997).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (165 Kb), zipped version (140 Kb).

• Lower and upper bounds for the splitting of separatrices of the pendulum under a fast quasiperiodic forcing
  Amadeu Delshams, Vassili Gelfreich, Àngel Jorba, Tere M.Seara
  Electronically published in:
  Electronic Research Announcements of the AMS n. 3, pp 1-10 (1997).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (48 Kb), zipped version (50 Kb).

• Effective Reducibility of Quasiperiodic Linear Equations Close to Constant Coefficients
  Àngel Jorba, Rafael Ramírez-Ros, Jordi Villanueva
  Published in:
  SIAM Journal on Mathematical Analysis 28:1, pp. 178-188 (1997).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (55 Kb), zipped version (56 Kb).

• On quasiperiodic Perturbations of Elliptic Equilibrium Points
  Àngel Jorba, Carles Simó
  Published in:
  SIAM Journal on Mathematical Analysis 27:6, pp. 1704-1737 (1996).
  This is the preprint version:
  Abstract (ASCII file), gzipped PostScript (126 Kb), zipped version (129 Kb).

• Existencia de Soluciones Cuasiperiódicas en un Problema Restringido de Cuatro Cuerpos
  Àngel Jorba, Jordi Villanueva
  Electronically published in:
  Actas del XIV CEDYA -- IV CMA (1996).
  This is the final version:
  Abstract (ASCII file), gzipped PostScript (21 Kb), zipped version (21 Kb).

• Review of General and Toeplitz Bidiagonal Solvers
  Josep Ll. Larriba-Pey, Juan J. Navarro, Àngel Jorba, Oriol Roig
  Published in:
  Parallel Computing 22:08, pp. 1091-1125 (1996).

• Vector and Parallel Interpolation by Natural Cubic Splines and B-Splines
  Josep Ll. Larriba-Pey, Juan J. Navarro, Àngel Jorba,
  Published in:
  Proceedings of the 4th Euromicro Workshop on Parallel and Distributed Processing, IEEE Computer Society Press, pp. 385-392 (1996).

• Use of the Earth-Moon Libration Points for Future Missions
  Vicens Companys, Gerard Gómez, Àngel Jorba, Josep Masdemont, José Rodríguez-Canabal, Carles Simó
  Published in:
  Proceedings of the AAS/AIAS Astrodynamics Conference, pp. 1655-1666 (1995).

• A Thermal analysis of Buried Electrical Cables and a Gas Piping
  Àngel Jorba, Frederic Marimón.
  Published in:
  Proceedings of the 9th International Conference on Numerical Methods in Thermal Problems, pp. 1159--1170, Pineridge Press, Swansea, U.K. (1995).

• An analysis of the Parallel Computation of Arbitrarily Branched Cable Neuron Models
  Josep Ll. Larriba-Pey, M. Mascagni, Àngel Jorba, Juan J. Navarro
  Published in:
  Proceedings of the 7th SIAM Conference on Parallel Processing for Scientific Computing, pp. 373--378. San Francisco (1995).

• A Generalized Criterion for the Early Termination of R-Cyclic Reduction and Divide and Conquer for Recurrences
  Josep Ll. Larriba-Pey, Àngel Jorba, Juan J. Navarro
  Published in:
  Proceedings of the 7th SIAM Conference on Parallel Processing for Scientific Computing, pp. 448--453. San Francisco (1995).

• The Bicircular Model near the Triangular Libration Points of the RTBP
  Carles Simó Gerard Gómez, Àngel Jorba, Josep Masdemont
  Published in:
  From Newton to Chaos (A. E. Roy and B. A. Steves, eds.), pp. 343-370, NATO ASI Series B: Physics, Plenum, New York (1995), ISBN 0-306-44904-8.
  PDF version (5.1 MB)

• Vectorizing Algorithms for Natural Cubic Spline and B-Spline curve fitting
  Josep Ll. Larriba-Pey, Juan J. Navarro, Àngel Jorba
  CEPBA Technical Research Report num. 94-15 (1994).
  Abstract, Compressed PostScript

• Effective Stability for Periodically Perturbed Hamiltonian Systems
  Àngel Jorba, Carles Simó
  Published in:
  Hamiltonian Mechanics: Integrability and Chaotic Behaviour, J. Seimenis (Ed.), NATO ASI Series B: Physics, Plenum, New York, pp. 245-252 (1994).
  Abstract (ASCII file), gzipped PostScript (78 Kb), zipped version (80 Kb).

• An analysis of some Parallel methods for the solution of general and Toeplitz Bidiagonal Systems
  Josep Ll. Larriba-Pey, Juan J. Navarro, Oriol Roig, Àngel Jorba
  CEPBA Technical Research Report num. 94-04 (1994).
  Abstract, Compressed PostScript

• Bounds for the error of some parallel bidiagonal solvers for strictly diagonal dominant systems
  Àngel Jorba, Josep Ll. Larriba-Pey, Juan J. Navarro
  CEPBA Technical Research Report num. 94-03 (1994).
  Abstract, Compressed PostScript

• Solution of Strictly Diagonal Dominant Tridiagonal Systems on Vector Computers
  Josep Ll. Larriba-Pey, Àngel Jorba, Juan J. Navarro
  CEPBA Technical Research Report num. 93-09 (1993).
  Abstract, Compressed PostScript

• Optimizing OPM for tridiagonal systems on vector uniprocessors
  Josep Ll. Larriba-Pey, Àngel Jorba, Juan J. Navarro
  CEPBA Technical Research Report num. 93-04 (1993).
  Abstract, Compressed PostScript

• Practical Stability Regions related to the Earth-Moon Triangular Libration Points
  Gerard Gómez, Àngel Jorba, Josep Masdemont, Carles Simó
  Published in:
  Proceedings of the International Symposium on Space Flight Dynamics (1994).

• Mission Analysis for Orbits in a Vicinity of the Earth-Moon Triangular Librations Points
  Gerard Gómez, Àngel Jorba, Josep Masdemont, Carles Simó
  Published in:
  Proceedings of the International Symposium on Space Flight Dynamics (1994).

• A Generalized Vision of some Parallel Bidiagonal Solvers
  Josep Ll. Larriba-Pey, Juan J. Navarro, Àngel Jorba, Oriol Roig,
  Published in:
  Proceedings of the International Conference on Supercomputing, pp. 404-411, ACM Press (1994).

• Spike algorithm with savings for strictly diagonal dominant tridiagonal systems
  Josep Ll. Larriba-Pey, Àngel Jorba, Juan J. Navarro
  Published in:
  Microprocessing and Microprogramming n. 39 (1993), pp. 125--128.

• Orbits near the triangular libration points in the Earth-Moon system
  Vicens Companys, Gerard Gómez, Àngel Jorba, Josep Masdemont, José Rodríguez-Canabal, Carles Simó
  Published in:
  Proceedings of the 44th Congress of the International Astronautical Federation (1993).

• Study of the transfer between halo orbits in the solar system
  Gerard Gómez, Àngel Jorba, Josep Masdemont, Carles Simó
  Published in:
  Advances in the Astronautical Sciences (American Astronautical Society) n. 84 (1993), pp. 623--637.

• Study of the Transfer from the Earth to a Halo Orbit around the Equilibrium Poin L₁
  Gerard Gómez, Àngel Jorba, Josep Masdemont, Carles Simó
  Published in:
  Celestial Mechanics and Dynamical Astronomy 56 (1993), pp. 541-562.

• A Parallel Tridiagonal Solver for Vector Uniprocessors
  Josep Ll. Larriba-Pey, Àngel Jorba, Juan J. Navarro
  Published in:
  Proceedings of the 6th SIAM Conference on Parallel Processing for Scientific Computing, pp. 590-597, Norfolk, Virginia (1993).

• Overlapped Partitions versus Tricycled Reduction: Races on the C-3400
  Josep Ll. Larriba-Pey, Àngel Jorba, Juan J. Navarro
  Published in:
  Proceedings of the Convex Users Group Worldwide Conference held in Richardson, Texas (1993). Published by Convex Computer Corporation.

• On Quasiperiodic Perturbations of Ordinary Differential Equations near Equilibrium Points
  Àngel Jorba, Carles Simó
  Published in:
  International Conference on Differential Equations (C. Perelló, C. Simó and J. Solá-Morales, Eds.), pp. 616-620, World Scientific, Singapur (1993).

• On the Reducibility of Linear Differential Equations with Quasiperiodic Coefficients
  Àngel Jorba, Carles Simó
  Published in:
  Journal of Differential Equations 98:1 (1992), pp. 111-124.

• A Proof for the Accuracy of OPM
  Àngel Jorba, Josep Ll. Larriba-Pey, Juan J. Navarro
  CEPBA Technical Research Report num. 92-10 (1992).
  Abstract, Compressed PostScript

• OPM: A Parallel Method to Solve Banded Systems of Equations
  Josep Ll. Larriba-Pey, Àngel Jorba, Juan J. Navarro
  CEPBA Technical Research Report num. 92-09 (1992).
  Abstract, Compressed PostScript

• A Quasiperiodic Solution as a Substitute of L₄ in the Earth-Moon System
  Gerard Gómez, Àngel Jorba, Josep Masdemont, Carles Simó
  Published in:
  Proceedings of the Third International Symposium on Spacecraft Flight Dynamics, pp. 35-41, Darmstadt (1991).

• A Dynamical Systems Approach for the Analysis of the SOHO Mission
  Gerard Gómez, Àngel Jorba, Josep Masdemont, Carles Simó
  Published in:
  Proceedings of the Third International Symposium on Spacecraft Flight Dynamics, pp. 449-454, Darmstadt (1991).

• Reducibilidad Efectiva de Sistemas Lineales Cuasiperiódicos
  Àngel Jorba,
  Published in:
  Actas XII CEDYA, pp. 153-158, Universidad de Oviedo (1991).

• Quasiperiodic Orbits as a Substitute of Libration Points in the Solar System
  Gerard Gómez, Àngel Jorba, Josep Masdemont, Carles Simó
  Published in:
  In Predictability, Stability and Chaos in N-Body Dynamical Systems (Archie E. Roy, Ed.), pp. 433-438, Plenum Press (1991).

• Moon's Influence on the Transfer from the Earth to a Halo Orbit around L₁
  Gerard Gómez, Àngel Jorba, Josep Masdemont, Carles Simó
  Published in:
  In Predictability, Stability and Chaos in N-Body Dynamical Systems (Archie E. Roy, Ed.), pp. 283-290, Plenum Press (1991).

• A Dynamical Equivalent to the Equilateral Libration Points of the Earth-Moon Real System
  Carles Díez, Àngel Jorba, Carles Simó
  Published in:
  Celestial Mechanics and Dynamical Astronomy 50, pp. 13-29 (1991).
  scanned version in pdf (735 Kb)

• Qualitative Study of Motion under the Potentials V(r)=-ar^-k, a, k in R⁺,
  Josefina Casasayas, Àngel Jorba, Ana Nunes
  Celestial Mechanics 42, pp. 129-139 (1988).