Preprints 2006

1. Old and new results on SNAs on the real line
   Àngel Jorba, Carmen Núñez, Rafael Obaya, Joan Carles Tatjer
   Abstract (ASCII file), PDF version (494 KB). (May 2006)

2. Slides of the talk Boundaries of Stability, given at U. de Barcelona (Jun 3, 2006)
   Carles Simó
   Abstract (ASCII file), Gzipped PS version (23 MB). (June 2006)

3. The resonant structure of Jupiter's Trojan asteroids I: Long term stability and diffusion
   P. Robutel, F. Gabern
   Abstract (ASCII file), PDF version (14 MB). (June 2006)

4. Invariant manifolds of L₃ and horseshoe motion in the restricted three-body problem
   E. Barrabés, M. Ollé
   Abstract (ASCII file), PDF version (2.6 MB). (July 2006)

5. Hip-Hop solutions of the 2N-body problem.
   E. Barrabés, J.M. Cors, C. Pinyol, J. Soler
   Abstract (ASCII file), PDF version (197 KB). (July 2006)

6. Equilibrium Configurations of the Four-Body Tethered System
   A.A. Correa and G. Gómez
   Appeared in Journal of Guidance, Control and Dynamics 29 (6) 1430-1435, 2006.
   Abstract (ASCII file), PDF version (173 KB).

7. A Note on Weak Stability Boundaries
   F. García and G. Gómez
   To appear in Celestial Mechanics and Dynamical Astronomy 2006.
   Abstract (ASCII file), PDF version (505 KB).

8. High Order Analytical Solutions of Hill's Equations
   G. Gómez and M. Marcote
   Appeared in Celestial Mechanics and Dynamical Astronomy 4 (2) 193-207, 2006.
   Abstract (ASCII file), PDF version (797 KB).

9. Dynamical Systems Approach to the Design of the Science Orbit Around Europa
   G. Gómez, M. Lara and R. Russell
   ISTS 2006-d-02 paper, 25th ISTS Conference. Space Exploration for a Peaceful Planet Earth, Kanazawa (Japan), 2006.
   Abstract (ASCII file), PDF version (834 KB).

10. Numerical experiences with Taylor methods
    C. Simó
    Talk given at the Geometric Integration Conference Universitat Jaume I, Castelló, 0609220930
    Abstract (ASCII file), Gzipped PostScript version (9 MB).

11. Entropy estimates for a family of expanding maps of the circle
    R. de la Llave, M. Shub and C. Simó
    Abstract (ASCII file), Gzipped PostScript version (344 KB).

12. High-precision computations of divergent asymptotic series and homoclinic phenomena
    V. Gelfreich and C. Simó
    Abstract (ASCII file), Gzipped PostScript version (487 KB).

13. Integrability of Hamiltonian Systems and Differential Galois Groups of Higher Variational Equations
    J. J. Morales-Ruiz, J-P. Ramis and C. Simó
    Abstract (ASCII file), PostScript version (1.4 MB).

14. Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems
    A.Neishtadt, C. Simó, D. Treschev and A. Vasiliev
    Abstract (ASCII file), Gzipped PostScript version (4.8 MB).

15. Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems
    A.Neishtadt, C. Simó, D. Treschev and A. Vasiliev
    Abstract (ASCII file), Gzipped PostScript version (159 KB).

16. Krylov methods and determinants for detecting bifurcations in one parameter dependent partial differential equations
    B. García-Archilla, J. Sánchez and C. Simó
    Abstract (ASCII file), Gzipped PostScript version (302 KB).

17. Stability islands in the vicinity of separatrices of near-integrable symplectic maps
    C. Simó and D. Treschev
    Abstract (ASCII file), Gzipped PostScript version (3.1 MB).

18. A personal view on Dynamical Systems
    C. Simó
    Note written for The Mathematical Intelligencer issue corresponding to the ICM held in Madrid, 2006
    Abstract (ASCII file), Gzipped PostScript version (1.6 MB).

19. Computer assisted proofs for non-symmetric planar choreographies and for stability of the Eight
    T. Kapela and C. Simó
    Abstract (ASCII file), Gzipped PostScript version (189 KB).

20. Bifurcation analysis of steady Rayleigh-Bénard convection in a cubical cavity with conducting sidewalls
    D. Puigjaner, J. Herrero, C. Simó and F. Giralt
    Abstract (ASCII file), Gzipped PostScript version (3.9 MB).

21. Deformation of entire functions with Baker domains -- version 2 (shortened, more generality)
    N. Fagella and C. Henriksen
    Appeared in Discrete and Continuous Dynamical Systems, 15, 379-394, 2006 Abstract (ASCII file), PDF version (325 KB).

22. Arnold Disks and the Moduli of Herman Rings of the Complex Standard Family
    N. Fagella and C. Henriksen
    Appeared in Dynamics on the Riemann Sphere. A Bodil Branner Festschrift, Ed. P. Hjorth and C. Petersen. European Mathematical Society, 2006. Abstract (ASCII file), PDF version (1.4 MB).

23. The Parameter Planes of $\lambda z^m \exp(z)$ for $m\geq 2$
    N. Fagella and A. Garijo
    To appear in Communications in Mathematical Physics..
    Abstract (ASCII file), PDF version (677 KB).

24. Connectivity of Julia sets of transcendental meromorphic maps
    N. Fagella, X. Jarque and J. Taixés
    Abstract (ASCII file), PDF version (455 KB).

25. The inner equation for one and a half degrees of freedom rapidly forced Hamiltonian systems
    I. Baldomà
    Abstract (ASCII file), PDF version (343 KB).

26. Breakdown of Heteroclinic Orbits for Some Analytic Unfoldings of the Hopf-Zero Singularity
    I. Baldomà and T.M. Seara
    Abstract (ASCII file), PDF version (392 KB).

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