| Maslov-type index and brake orbits in nonlinear Hamiltonian systems |
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| 作者姓名： | Duan-zhi ZHANG School of Mathematical Sciences Peking University Beijing China |
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| 作者单位： | Duan-zhi ZHANG School of Mathematical Sciences，Peking University，Beijing 100871，China |
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| 摘 要： | In this paper, we study the Maslov-type index theory for linear Hamiltonian systems with brake orbits boundary value conditions and its applications to the existence of multiple brake orbits of nonlinear Hamiltonian systems.
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| 收稿时间： | 27 October 2006 |
| 修稿时间： | 9 January 2007 |
Maslov-type index and brake orbits in nonlinear Hamiltonian systems |
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| Duan-zhi ZHANG School of Mathematical Sciences,Peking University,Beijing ,China.Maslov-type index and brake orbits in nonlinear Hamiltonian systems[J].Science in China(Mathematics),2007,50(6):761-772. |
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| Authors: | Duan-zhi ZHANG |
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| Institution: | School of Mathematical Sciences, Peking University, Beijing 100871, China |
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| Abstract: | In this paper, we study the Maslov-type index theory for linear Hamiltonian systems with brake orbits boundary value conditions and its applications to the existence of multiple brake orbits of nonlinear Hamiltonian systems. |
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| Keywords: | brake orbit Maslov-type index relative Morse index dual variational method |
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