| Description |
1 online resource (206 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; Number 513 |
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Memoirs of the American Mathematical Society ; no. 513.
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| Contents |
""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"" |
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""3.3. Stability of the simple bifurcations""""CHAPTER III: SEPARATRIX SURFACES AND FOLIATIONS OF THE ENERGY LEVELS""; ""1. Regularization of the singularities""; ""1.1. Introduction of McGehee's coordinates""; ""1.2. Regularization of collision""; ""1.3. Regularization of infinity""; ""1.4. The manifolds W[sup(u,s)](S‌[sup(+,)])""; ""2. Separatrix surfaces""; ""2.1. Simple separatrix surfaces""; ""2.2. Characterization of the separatrix surfaces""; ""3. Simple foliations""; ""3.1. Simple energy values""; ""3.2. Classification of the simple foliations"" |
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3.3. Stability of the simple foliationsCHAPTER 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 |
| Notes |
"January 1994, Volume 107, Number 513 (second of 4 numbers)." |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
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Print version record |
| Subject |
Hamiltonian systems.
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Perturbation (Mathematics)
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Foliations (Mathematics)
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Invariant manifolds.
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Foliations (Mathematics)
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Hamiltonian systems
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Invariant manifolds
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Perturbation (Mathematics)
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| Form |
Electronic book
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| Author |
Nunes, Ana, 1958- author.
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| ISBN |
9781470400903 |
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1470400901 |
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