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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_...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
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| Formato: | Electrónico eBook |
| Idioma: | Inglés |
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Providence :
American Mathematical Society,
2018.
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| Colección: | Memoirs of the American Mathematical Society Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (118 pages) |
| Bibliografía: | Includes bibliographical references (pages 103-105). |
| ISBN: | 9781470443733 1470443732 1470428016 9781470428013 |