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Maslov-type index and brake orbits in nonlinear Hamiltonian systems 被引量:1

Maslov-type index and brake orbits in nonlinear Hamiltonian systems
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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. 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.
出处 《Science China Mathematics》 SCIE 2007年第6期761-772,共12页 中国科学:数学(英文版)
基金 This work was partially supported by the National Natural Science Foundation of China (Grant No.20060390014)
关键词 brake orbit Maslov-type index relative Morse index dual variational method 58E05 70H05 34C25 brake orbit Maslov-type index relative Morse index dual variationai method
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  • 1Xijun Hu,Yiming Long.Closed characteristics on non-degenerate star-shaped hypersurfaces in R2n[J].Science in China Series A: Mathematics.2002(8) 被引量:1
  • 2I. Ekeland,H. Hofer.Convex Hamiltonian energy surfaces and their periodic trajectories[J].Communications in Mathematical Physics.1987(3) 被引量:1
  • 3Ekeland I.Convexity Methods in Hamiltonian Mechanics[]..1990 被引量:1

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