Preprints 2007

1. Slides of the lectures Properties of Low Dimensional Dynamical Systems in the Large, given at Wolfgang Pauli Institute, Vienna. (Jan 8-12, 2007)
   Carles Simó
   Abstract (ASCII file), Gzipped PS version (19 MB). (January 2007)

2. One dimensional invariant manifolds of Gevrey type in real-analytic maps
   Inmaculada Baldomá and Àlex Haro
   Abstract (ASCII file), PDF version (301 KB). (May 2007)

3. Attractors for return maps near homoclinic tangencies of three-dimensional dissipative diffeomorphisms
   Antonio Pumariño and Joan Carles Tatjer
   Abstract (ASCII file), PDF version (9.5 MB). Gzipped PS version (8.9 MB). (June 2007)

4. Analytic smoothing of geometric maps with applications to KAM theory
   Alejandra González-Enríquez and Rafael de la Llave
   Abstract (ASCII file), PDF version (630 KB). (June 2007)

5. Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: analysis of a resonance 'bubble'
   Henk Broer, Carles Simó and Renato Vitolo
   Abstract (ASCII file), Gzipped PS version (1.8 MB). (July 2007)

6. The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: the Arnol'd resonance web
   Henk Broer, Carles Simó and Renato Vitolo
   Abstract (ASCII file), Gzipped PS version (3.1 MB). (July 2007)

7. On strange attractors in a class of pinched skew products
   Àlex Haro
   Abstract (ASCII file), PDF version (211 KB). (July 2007)

8. Taylor method for the integration of ODE
   Lectures given at the LTI07 Advanced School on Long Time Integrations
   Carles Simó
   Abstract (ASCII file), Gzipped PS version (6.8 MB). (September 2007)

9. Studies in Dynamics: From local to Global aspects
   Lecture given at the opening of the 2007-2008 course in the Societat Catalana de Matematiques, Barcelona 071019
   Carles Simó
   Abstract (ASCII file), Gzipped PS version (4.0 MB). (October 2007)

10. Station keeping close to unstable equilibrium points with a solar sail
    Ariadna Farrés, Àngel Jorba
    Abstract (ASCII file), PDF version (808 KB). (October 2007)

11. Solar sail surfing along families of equilibrium points
    Ariadna Farrés, Àngel Jorba
    Abstract (ASCII file), PDF version (300 KB). (October 2007)

12. A dynamical systems approach for the station keeping of a Solar Sail
    Ariadna Farrés, Àngel Jorba
    Abstract (ASCII file), PDF version (10 MB). (December 2007)

13. Towards a global study of Area Preserving Maps. Examples, Models and Applications
    Slides of talks given at the workshops Chaos and Ergodicity of Realistic Hamiltonian Systems Centre de recherches mathematiques, Montreal and
    Workshop on Mathematical Aspects of Celestial Mechanics IHP and Observatoire de Paris, Paris
    Carles Simó, Arturo Vieiro
    Abstract (ASCII file), Gzipped PS version (10 MB). (December 2007)

14. Thomson's Heptagon: a case of bifurcation at infinity
    Stefanella Boatto, Carles Simó
    Abstract (ASCII file), PDF version (269 KB). (December 2007)

15. The positive entropy kernel for some families of trees
    Esther Barrabés, David Juher
    Appeared in Nonlinearity, 20 (8), pp 1955-1967, Abstract (ASCII file), PDF version (215 KB). (May 2007)

16. J₂ effect and elliptic inclined periodic orbits in the collision restricted three-body problem
    Esther Barrabés, Josep M. Cors, Conxita Pinyol, Jaume Soler
    Appeared in SIAM Journal on Applied Dynamical Systems, 7 (1), pp 1-17,
    Abstract (ASCII file), PDF version (1.1MB).

17. The parameterization method for one-dimensional invariant manifolds of higher dimensional parabolic fixed points
    Immaculada Baldomà, Ernest Fontich, Rafael de la Llave and Pau Martin
    Abstract (ASCII file), PDF version (374KB).

18. Asymptotic behaviour of the stability parameter for a family of singular-limit Hill's equation
    Regina Martínez and Anna Samà
    Appeared in J. Differential Equations, 245 (2008) 3869-3897
    Abstract (ASCII file), PDF version (5.4MB). (December 2007)

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