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Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations / / Jaume Llibre, Ana Nunes



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Autore: Llibre Jaume Visualizza persona
Titolo: Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations / / Jaume Llibre, Ana Nunes Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 1994
©1994
Descrizione fisica: 1 online resource (206 p.)
Disciplina: 514/.7
Soggetto topico: Hamiltonian systems
Perturbation (Mathematics)
Foliations (Mathematics)
Invariant manifolds
Persona (resp. second.): NunesAna <1958->
Note generali: "January 1994, Volume 107, Number 513 (second of 4 numbers)."
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: ""TABLE OF CONTENTS""; ""CHAPTER I: INTRODUCTION AND STATEMENT OF THE RESULTS""; ""CHAPTER II: BIFURCATIONS""; ""1. Hamiltonian systems with two degrees of freedom associated to central potentials""; ""1.1. Preliminary results on Hamiltonian systems""; ""1.2. Definitions and basic properties""; ""2. Study of the bifurcation set â??[sub(HC)]""; ""2.1. The set A""; ""2.2. The set B""; ""2.3. The set Ï?(HC)""; ""2.4. Simple bifurcations""; ""3. Classification of the simple bifurcations""; ""3.1. The bifurcations of â??'[sub(HC) â?© Ï?(H,C)""; ""3.2. The bifurcations of â??'[sub(HC) â?© B""
""3.3. Stability of the simple foliations""""CHAPTER IV: THE PERTURBEB HAMILTONIAN""; ""1. Persistence of the separatrix structures""; ""1.1. Persistence of the circular orbits""; ""1.2. Persistence of the singularity manifolds""; ""1.3. Persistence of the invariant manifolds associated to invariant circles""; ""2. Transversal ejection - collision orbits""; ""3. Persistence of invariant tori and cylinders""; ""REFERENCES""
Titolo autorizzato: Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations  Visualizza cluster
ISBN: 1-4704-0090-1
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910817228303321
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Serie: Memoirs of the American Mathematical Society ; ; Number 513.