Preprints 1997

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

2. Lissajous Orbits around Halo Orbits
   Gerard Gómez, Josep Masdemont, Carles Simó
   Abstract (ASCII file), gzipped PostScript (535 Kb), zipped version (548 Kb).

3. 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).

4. 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
   Electron. Res. Announc. Amer. Math. Soc., 3 (1997), 1-10
   Abstract (ASCII file), gzipped PostScript (48 Kb), zipped version (50 Kb).

5. Psi-Series of Quadratic Vector Fields on the Plane
   Amadeu Delshams, Arnau Mir
   Publ. Mat., 41 (1997), 101-125
   Abstract (ASCII file), gzipped PostScript (99 Kb), LaTex 2.09 (81 Kb), zipped version (129 Kb).

6. 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).

7. Exponentially Small Splitting of Separatrices for Standard-like Maps
   Amadeu Delshams, Rafael Ramírez
   J. Nonlinear Sci., 8 (1998), 317-352
   Abstract(ASCII file), gzipped PostScript(173 Kb), zipped PostScript 600dpi(292 Kb), LaTex 2.09(413 Kb), zipped version(547 Kb).

8. Splitting of separatrices in Hamiltonian sysmtems and symplectic maps
   Amadeu Delshams, Tere M. Seara, Rafael Ramírez-Ros
   C. Simó, editor, Hamiltonian Systems with Three or More Degrees of Freedom, volume 533 of NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., pp. 39-54. Kluwer, Dordrecht, 1999
   Abstract(ASCII file), gzipped PostScript (100 Kb), zipped version(101 Kb)

9. Poincaré-Melnikov-Arnold method for twist maps
   Amadeu Delshams, Rafael Ramírez-Ros
   C. Simó, editor, Hamiltonian Systems with Three or More Degrees of Freedom, volume 533 of NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., pp. 533-537. Kluwer, Dordrecht, 1999
   Abstract(ASCII file), gzipped PostScript (52 Kb), zipped version(53 Kb)

10. Homoclinic orbits of twist maps and billiards
    Amadeu Delshams, Rafael Ramírez-Ros
    D. Bambusi and G. Gaeta, editors, Symmetry and Perturbation Theory, Quaderno GNFM, 54, pp. 46-86. Firenze, Italy, 1998.
    Abstract(ASCII file), gzipped PostScript (225 Kb), zipped version(225 Kb)

11. Translunar Halo Orbits in the Quasi-Bicircular Problem
    Miquel Àngel Andreu, Carles Simó
    Abstract (ASCII file), gzipped PostScript (181 Kb), zipped version (177 Kb)

12. Dynamics on Hubbard trees

Lluís Alsedà, Núria Fagella
Preprint.
Abstract (ASCII file), gzipped PostScript (753 Kb) (2392 Kb uncompressed),
13. Surgery on the limbs of the Mandelbrot set
    Núria Fagella
    In "Progress in Holomorphic Dynamics", Ed. Hartje Kriete,
    Pitman research notes vol. 387, pp 139-158.
    Abstract (ASCII file),  gzipped PostScript (944 Kb) (22641 Kb uncompressed),

14. Periodic Points of holomorphic maps

Núria Fagella, Jaume llibre
Preprint (1997).
Abstract (ASCII file), gzipped PostScript (126 Kb) (594 Kb uncompressed),
15. Effective Computations in Celestial Mechanics and Astrodynamics
    Carles Simó
    In Modern Methods of Analytical Mechanics and their Applications
    Ed. V. Rumyantsev and A. Karapetyan
    CISM Courses and Lectures 387, Springer, 1998
    This is the preprint version:
    Abstract (ASCII file), gzipped PostScript (3074 Kb) zipped version (3041 Kb)

16. Visualization of a Hyperbolic Structure in Area Preserving Maps
    A. Giorgilli, V. F. Lazutkin, C. Simó
    Regular and Chaotic Dynamics, 2, 1997, 47-61
    This is the preprint version:
    Abstract (ASCII file), gzipped PostScript (1660 Kb), zipped version (1591 Kb)

17. Exponentially small estimates for KAM theorem near an elliptic equilibrium point
    Amadeu Delshams, Pere Gutiérrez
    C. Simó, editor, Hamiltonian Systems with Three or More Degrees of Freedom, volume 533 of NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., pp. 386-390. Kluwer, Dordrecht, 1999.
    Abstract (ASCII file), Gzipped PostScript (35 Kb), Zipped version (35 Kb).

18. Effective Stability in Reversible Systems
    Amadeu Delshams, José Tomás Lázaro
    C. Simó, editor, Hamiltonian Systems with Three or More Degrees of Freedom, volume 533 of NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., pp. 453-457. Kluwer, Dordrecht, 1999
    Abstract (ASCII file), gzipped PostScript (38 Kb), Zipped version (39 Kb)

19. Psi-Series of Quadratic Systems on the Plane
    Arnau Mir, Amadeu Delshams
    Publ. Mat., 41 (1997), 101-125
    Abstract (ASCII file), gzipped PostScript (99 Kb), zipped version (100 Kb)

20. Melnikov potential for exact symplectic maps
    Amadeu Delshams, Rafael Ramírez-Ros
    Comm. Math. Phys., 190-1 (1997), 213-245
    Abstract (ASCII file), gzipped PostScript (197 Kb), zipped version (198 Kb)

21. Splitting of separatrices in Hamiltonian systems with one and a half degrees of freedom
    Amadeu Delshams, Tere M.Seara
    Math. Phys. Electron. J., 3-1 (1997), 1-40
    Abstract (ASCII file), gzipped PostScript (173 Kb), zipped version (174 Kb)

22. Singular separatrix splitting and Melnikov method: An experimental study
    Amadeu Delshams, Rafael Ramírez-Ros
    Final version: 1998, n. 18

23. Homoclinic orbits to invariant tori in Hamiltonian systems

Amadeu Delshams, Pere Gutiérrez
Final version: 1998, n. 19

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