Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations - Couverture souple

Llibre, Jaume; Nunes, Ana

 
9780821825815: Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations
Couverture souple
ISBN 10 : 082182581X ISBN 13 : 9780821825815
Editeur : American Mathematical Society, 1994

Synopsis

This work presents a study of the foliations of the energy levels of a class of integrable Hamiltonian systems by the sets of constant energy and angular momentum. This includes a classification of the topological bifurcations and a dynamical characterization of the critical leaves (separatrix surfaces) of the foliation. Llibre and Nunes then consider Hamiltonian perturbations of this class of integrable Hamiltonians and give conditions for the persistence of the separatrix structure of the foliations and for the existence of transversal ejection-collision orbits of the perturbed system. Finally, they consider a class of non-Hamiltonian perturbations of a family of integrable systems of the type studied earlier and prove the persistence of 'almost all' the tori and cylinders that foliate the energy levels of the unperturbed system as a consequence of KAM theory.

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Éditeur
American Mathematical Society
Date d'édition
1994
Langue
anglais
ISBN 10 
082182581X
ISBN 13 
9780821825815
Reliure
Broché
Nombre de pages
191
Coordonnées du fabricant
non disponible
Personne responsable
non disponible