Title | Seminar on Dynamical Systems [electronic resource] : Euler International Mathematical Institute, St. Petersburg, 1991 / edited by S. Kuksin, V. Lazutkin, J. Pรถschel |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1994 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7515-8 |
Descript | IX, 292 p. 1 illus. online resource |
I. KAM theory and related topics -- 1. The dynamical foundation of classical statistical mechanics and the Boltzmann-Jeans conjecture -- 2. Stability of nearly integrable convex hamiltonian system over exponentially long times -- 3. On the stability problem for nearly-integrable hamiltonian systems -- 4. Separatrices splitting for the rapidly forced pendulum -- 5. Exponentially small expressions for separatrix splitting -- 6. An unusual variational problem connected with Matherโs theory for monotone twist mappings -- 7. Periodic Metrics -- 8. On the inclusion of analytic symplectic maps in analytic hamiltonian flows and its applications -- 9.Poincarรฉ Compacti-fication of the Kepler and the collinear three body problems -- 10. A note on the existence of heteroclinic orbits in the planar three-body problem -- 11. KAM tori for modulated symplectic maps -- 12. Analyticity of normalizing transformations for area preserving maps -- 13. On the frequencies of quasi-periodic solutions of analytic nearly integrable hamiltonian systems -- 14. New results in the reversible KAM theory -- II. Infinite dimensional dynamical systems -- 15. Maximal almost periodic solutions for Lagrangian equations on infinite dimensional tori -- 16. Nonpersistence of breather solutions under perturbation of the Sine-Gordon equation -- III. Miscellanea -- 17. Attractors, integrable hamiltonian systems and the Reidemeister torsion -- 18. Linear connections for hamiltonian dynamics over isotropic submanifold -- 19. Four-dimensional integrable hamiltonian systems with simple singular points -- 20. Periodic points and Symbolic Dynamics -- 21. On the perturbation of locally non-unique invariant manifolds -- 22. Complex geometry of the billiard on the ellipsoid and quasicristallic curves