Systems of Transversal Sections near Critical Energy Levels of Hamiltonian Systems in R⁴
In this article the authors study Hamiltonian flows associated to smooth functions H: mathbb R^4 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 H^{-1}(0). The Hamiltonian function near p_...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Providence :
American Mathematical Society,
2018
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| Series: | Memoirs of the American Mathematical Society Ser.
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| Subjects: | |
| Local Note: | ProQuest Ebook Central |
| Summary: | In this article the authors study Hamiltonian flows associated to smooth functions H: mathbb R^4 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 H^{-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 H^{-1}(0). Then for all E gt 0 small, the energy level H^{-1}(E) contains a subset S_E near S_0, diffeomorphic to the closed 3-ball, which admits a system of transversal sections mathc. |
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| Physical Description: | 1 online resource (118 pages) |
| Bibliography: | Includes bibliographical references (pages 103-105). |
| ISBN: | 9781470443733 1470443732 1470428016 9781470428013 |
| Source of Description, Etc. Note: | Print version record. |
