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Record Nr. |
UNINA9910788753603321 |
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Autore |
Llibre Jaume |
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Titolo |
Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations / / Jaume Llibre, Ana Nunes |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1994 |
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©1994 |
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ISBN |
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Descrizione fisica |
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1 online resource (206 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 513 |
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Disciplina |
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Soggetti |
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Hamiltonian systems |
Perturbation (Mathematics) |
Foliations (Mathematics) |
Invariant manifolds |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 1994, Volume 107, Number 513 (second of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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