Preprints 2004

1. A software package for the numerical integration of ODE by means of high-order Taylor methods (revised version)
   Àngel Jorba and Maorong Zou.
   Abstract (ASCII file), gzipped PostScript (380 Kb), zipped version (380 Kb), software. (Jan 2004)

2. On the Analytical and Numerical Approximation of Invariant Manifolds.
   Carles Simó.
   Abstract (ASCII file), gzipped PostScript (168 Kb), zipped version (170 Kb). (March 2004)
   Reprinted from Les Méthodes Modernes de la Mecánique Céleste (Course given at Goutelas, France, 1989), D. Benest and C. Froeschlé (eds.), pp. 285--329, Editions Frontières, Paris, 1990.

3. Effective computation of the dynamics around a two-dimensional torus of a Hamiltonian system.
   Frederic Gabern and Àngel Jorba.
   Abstract (ASCII file), gzipped PostScript (980 Kb), PDF version (2.0 Mb). (March 2004)

4. Algebraic proof of the non-integrability of Hill's Problem.
   Juan J. Morales-Ruiz, Carles Simó and Sergi Simon.
   Abstract (ASCII file), gzipped PostScript (168 Kb), zipped version (170 Kb). (April 2004)

5. Analytic families of reducible linear quasi-periodic differential equations.
   Joaquim Puig and Carles Simó
   Abstract (ASCII file), gzipped PostScript (385 Kb), zipped version (385 Kb). (June 2004)

6. On the existence of patterns for a diffusion equation on a convex domain with nonlinear boundary reaction.
   Neus Cónsul and Àngel Jorba.
   Abstract (ASCII file), gzipped PostScript (271 Kb), PDF version (409 Kb). (July 2004)

7. Reducibility of Quasi-Periodic Skew-Products and the Spectrum of Schrödinger Operators (PhD dissertation)
   Joaquim Puig
   Abstract (ASCII file), gzipped PostScript (608 Kb), PDF (1.3 Mb), Erratum (PDF) (21 Kb).
8. Cantor Spectrum for quasi-periodic Schrödinger Operators
   Joaquim Puig
   Abstract (ASCII file), gzipped PostScript (164 Kb), zipped version (165 Kb). (October 2004)

9. On the construction of the Kolmogorov normal form for the Trojan asteroids.
   Frederic Gabern, Àngel Jorba and Ugo Locatelli.
   Abstract (ASCII file), gzipped PostScript (571 Kb), PDF version (619 Kb). (October 2004)

10. A parameterization method for the computation of invariant tori and their whiskers in quasi periodic maps: rigorous results.
    Àlex Haro, and Rafael de la Llave.
    Abstract (ASCII file), gzipped PostScript (277 Kb). (November 2004)

11. A parameterization method for the computation of invariant tori and their whiskers in quasi periodic maps: numerical algorithms.
    Àlex Haro, and Rafael de la Llave.
    Abstract (ASCII file), gzipped PostScript (294 Kb). (November 2004)

12. The observed Trojans and the global dynamics around the Lagrangian points of the Sun-Jupiter system.
    Philippe Robutel, Frederic Gabern and Àngel Jorba.
    Abstract (ASCII file), gzipped PostScript (538 Kb), PDF version (501 Kb).

13. Manifolds at the verge of a hyperbolicity breakdown
    Àlex Haro, and Rafael de la Llave.
    Abstract (ASCII file), gzipped PostScript (841 Kb). (November 2004)

14. Equilibria in Three Body Problems: stability, invariant tori and connections
    Anna Samà (Ph.D. Thesis, Advisor: Regina Martínez).
    Abstract (ASCII file), gzipped PostScript (3.3Mb). (December 2004)

15. A Note on Second Species Solutions Generated From p-q Resonant Orbits
    E. Barrabés and G. Gómez
    Appeared in Celestial Mechanics and Dynamical Astronomy 88, 229-244, 2004.
    Abstract (ASCII file), PDF version (501 KB).

16. Searching for Life with the Terrestrial Planet Finder: Lagrange Point Options for a Formation Flying Interferometer
    C.A. Beichman, G. Gómez, M.W. Lo, J.J. Masdemont and L. Romans
    Appeared in Advances in Space Research 34, 637-644, 2004.
    Abstract (ASCII file), PDF version (397 kB).

17. Assessment of Mission Design Including Utilisation of Libration Points and Weak Stability Boundaries
    E. Canalías, G. Gómez, M. Marcote and J.J. Masdemont
    ESA publication. Ariadna id: 03/4103. ESA contract number 18142/04/NL/MV Final report, 2004.
    PDF version (8.5 MB).

18. Transfer Orbits Guided by the Unstable/Stable Manifolds of the Lagrangian Points
    A.A. Correa, G. Gómez and T.J. Stuchi
    Congreso Brasileño de Dinamica Orbital, 2004.
    Abstract (ASCII file), PDF version (2.3 MB).

19. Connecting Orbits and Invariant Manifolds in the Spatial Restricted Three-Body Problem
    G. Gómez, W.S. Koon, M.W. Lo, J.E. Marsden J.J. Masdemont and S.D. Ross
    Appeared in Nonlinearity, 17, 1571-1606, 2004.
    Abstract (ASCII file), PDF version (2.1 MB).

20. Existence of Herman rings for meromorphic functions
    N. Fagella and P. Dominguez
    Appeared in Complex Variables, 49, 851-870, 2004.
    Abstract (ASCII file), PDF version (658 KB).

21. Asymptotic Size of Herman Rings of the Complex Standard Family by Quantitative Quasiconformal Surgery
    N. Fagella, T. Martinez-Seara and J. Villanueva
    Appeared in Ergodic Theory and Dynamical Systems, 24, 735-766, 2004.
    Abstract (ASCII file), PDF version (631 KB).

22. Deformation of entire functions with Baker domains -- version 1 (extended, less generality)
    N. Fagella and C. Henriksen
    Abstract (ASCII file), PDF version (521 KB).

23. Exponentially Small Splitting of Invariant Manifolds of Parabolic Points
    I. Baldomà and E. Fontich
    Abstract (ASCII file), PDF version (553 KB).

24. Stable manifolds associated to fixed points with linear part equal to identity
    I. Baldomà and E. Fontich
    Abstract (ASCII file), PDF version (352 KB).

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