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Maslov-type index and brake orbits in nonlinear Hamiltonian systems

Maslov-type index and brake orbits in nonlinear Hamiltonian systems

作     者:Duan-zhi ZHANG School of Mathematical Sciences, Peking University, Beijing 100871, China 

作者机构:School of Mathematical Sciences Peking University Beijing China 

出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))

年 卷 期:2007年第50卷第6期

页      面:761-772页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:This work was partially supported by the National Natural Science Foundation of China (Grant No.20060390014) 

主  题:brake orbit Maslov-type index relative Morse index dual variational method 58E05 70H05 34C25 

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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