Preprints 1998

1. 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), gziped PostScript (390 Kb), zipped PostScript (384 Kb), PostScript+updated software (6 aug 2002) (tar+gzip, 444 Kb).

2. Arnold diffusion in perturbations of analytic integrable Hamiltonian systems
   Ernest Fontich, Pau Martín
   Abstract (ASCII file), gziped PostScript (134 Kb), zipped version (134 Kb).

3. 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), gziped PostScript (934 Kb), zipped version (919 Kb).

4. The Primitive Function of an Exact Symplectomorphism
   Variational principles, Converse KAM Theory and the problems of determination and interpolation. (thesis)
   Àlex Haro
   Abstract (ASCII file), zipped PostScript (WARNING: 14905 Kb, uncompressed size 116780 Kb)

5. Dynamics of the complex standard family
   Núria Fagella,
   Preprint, To appear in J. of Math. Anal. and Appl.
   Abstract (ASCII file), gzipped PostScript (500 Kb) (7223Kb uncompressed),
    
6. The Quasi-bicircular Problem (thesis)
   Miquel Àngel Andreu
   gzipped PostScript (English, 2134 Kb), gzipped PostScript (Catalan summary, 455 Kb)

7. Resonance tongues in Hill's equations: a geometric approach
   Henk Broer, Carles Simó
   Abstract (ASCII file), gzipped PostScript (291 Kb), zipped version (292 Kb)

8. Hill's equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena
   Henk Broer, Carles Simó
   Bul. Soc. Bras. Mat. 29, 1998, 253-293
   This is the preprint version:
   Abstract (ASCII file), gzipped PostScript (1400 Kb), zipped version (1400 Kb)

9. Simultaneous binary collisions in the planar four body problem
   Regina Martínez, Carles Simó
   Nonlinearity 12, 1999, 903-930
   Abstract (ASCII file), gzipped PostScript (194 Kb), zipped version (195 Kb)

10. Central Stable/Unstable Manifolds and the destruction of KAM tori in the planar Hill problem
    Carles Simó, T. J. Stuchi
    Abstract (ASCII file), gzipped PostScript (3043 Kb), zipped version (3044 Kb)

11. Evolution of the "last" invariant curve in a family of area preserving maps
    (new version)
    Carles Simó, Dmitry V. Treschev
    Abstract (ASCII file), gzipped PostScript (2263 Kb), zipped version (2264 Kb)

12. Conditional Entropy: A Tool to Explore the Phase Space
    Pablo Cincotta, Carles Simó
    Abstract (ASCII file), gzipped PostScript (191 Kb), zipped version (189 Kb)

13. Invariant curves of analytic perturbed nontwist area preserving maps
    Carles Simó
    Regular and Chaotic Dynamics, 3, 1998, 180-195
    Abstract (ASCII file), gzipped PostScript (5971 Kb), zipped version (5891 Kb)

14. Quasihalo orbits associated with libration points
    Gerard Gómez, Josep Masdemont, Carles Simó
    J. of the Astronautical Sci., 46, 1998
    This is the preprint version
    Abstract (ASCII file), gzipped PostScript (1096 Kb), zipped version (1065 Kb)

15. Converse KAM Theory for monotone positive symplectomorphisms
    Àlex Haro
    To appear in Nonlinearity
    Abstract (ASCII file), gzipped PostScript (1979 Kb), zipped version (1980 Kb)

16. Determination of an exact symplectomorphism from its primitive function
    Àlex Haro
    Abstract (ASCII file), gzipped PostScript (138 Kb), zipped version (139 Kb)
    Improved version: 2000, n. 4

17. Station Keeping Strategies for Translunar Libration Point Orbits
    G. Gómez, K. Howell, J. Masdemont, C. Simó
    Advances of the Astronautical Sciences 99 (1998)
    Abstract (ASCII file), gzipped PostScript (99 Kb), zipped version (100 Kb)

18. Singular separatrix splitting and Melnikov method: An experimental study
    Amadeu Delshams, Rafael Ramírez-Ros
    Experiment. Math., 8-1 (1999), 29-48
    Abstract (ASCII file), gzipped PostScript (254 Kb), zipped version (255 Kb)

19. Homoclinic orbits to invariant tori in Hamiltonian systems

Amadeu Delshams, Pere Gutiérrez
C. Jones, S. Wiggins, A. Khibnik, F. Dumortier and D. Terman, editors, Multiple Time-Scale Dynamical Systems, IMA Vol. Math. Appl., to appear. Springer, New York.
Abstract (ASCII file), gzipped PostScript (116 Kb), zipped version (117 Kb)
20. A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of T²
    Amadeu Delshams, Rafael de la Llave, Tere M. Seara
    Final version: 1999, n. 15

21. KAM theory and a partial justification of Greene's criterion for non-twist maps
    Amadeu Delshams, Rafael de la Llave
    Final version: 1999, n. 16

22. Splitting potential and Poincaré-Melnikov method for whiskered tori in Hamiltonian System
    Amadeu Delshams, Pere Gutiérrez
    Final version: 1999, n. 17

23. Singular splitting of separatrices for the perturbed McMillan map
    Amadeu Delshams, Rafael Ramírez-Ros
    XV Congress on Differential Equations and Applications/V Congress on Applied Mathematics, Vol. I, II (Vigo, 1997), pp. 243--248. Univ. Vigo, Vigo, 1998.
    Abstract (ASCII) file, gzipped PostScript (51 Kb), zipped version (52 Kb)

Back to the UB-UPC DSG preprints page