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
|
| Titolo: |
Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations / / Jaume Llibre, Ana Nunes
|
| 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 |
| ISBN: | 1-4704-0090-1 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910817228303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Number 513.