| Description |
1 online resource (118 pages) |
| Series |
Memoirs of the American Mathematical Society Ser. ; v. 252 |
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Memoirs of the American Mathematical Society Ser
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| Contents |
Cover; Title page; Chapter 1. Introduction; 1.1. Saddle-center equilibrium points; 1.2. Strictly convex subsets of the critical energy level; 1.3. 2-3 foliations; 1.4. Main statement; 1.5. Applications; 1.6. An open question; Chapter 2. Proof of the main statement; Chapter 3. Proof of Proposition 2.1; Chapter 4. Proof of Proposition 2.2; Chapter 5. Proof of Proposition 2.8; Chapter 6. Proof of Proposition 2.9; Chapter 7. Proof of Proposition 2.10- ); Chapter 8. Proof of Proposition 2.10-ii); Chapter 9. Proof of Proposition 2.10-iii) |
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Appendix A. Basics on pseudo-holomorphic curves in symplectizationsAppendix B. Linking properties; Appendix C. Uniqueness and intersections of pseudo-holomorphic curves; References; Back Cover |
| Summary |
In this article the authors study Hamiltonian flows associated to smooth functions H:\mathbb R̂4 \to \mathbb R restricted to energy levels close to critical levels. They assume the existence of a saddle-center equilibrium point p_c in the zero energy level Ĥ{-1}(0). The Hamiltonian function near p_c is assumed to satisfy Moser's normal form and p_c is assumed to lie in a strictly convex singular subset S_0 of Ĥ{-1}(0). Then for all E \gt 0 small, the energy level Ĥ{-1}(E) contains a subset S_E near S_0, diffeomorphic to the closed 3-ball, which admits a system of transversal sections \mathc |
| Bibliography |
Includes bibliographical references (pages 103-105) |
| Notes |
Print version record |
| Subject |
Hamiltonian systems.
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Energy levels (Quantum mechanics)
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Vector fields.
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Campos vectoriales
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Sistemas de Hamilton
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Energy levels (Quantum mechanics)
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Hamiltonian systems
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Vector fields
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| Form |
Electronic book
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| Author |
Salomão, Pedro A. S.
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| LC no. |
2018005046 |
| ISBN |
9781470443733 |
|
1470443732 |
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1470428016 |
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9781470428013 |
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