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

Llibre, Jaume; Nunes, Ana

 
9780821825815: Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations
Brossura
ISBN 10: 082182581X ISBN 13: 9780821825815
Casa editrice: Amer Mathematical Society, 1994

Sinossi

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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Editore
Amer Mathematical Society
Data di pubblicazione
1994
Lingua
Inglese
ISBN 10 
082182581X
ISBN 13 
9780821825815
Rilegatura
Copertina flessibile
Numero di pagine
191
Contatto del produttore
non disponibile
Persona responsabile
non disponibile