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Maslov-type index and brake orbits in nonlinear Hamiltonian systems

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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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Authors and Affiliations

  1. School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Duan-zhi Zhang

Authors
  1. Duan-zhi Zhang
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Additional information

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

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Zhang, Dz. Maslov-type index and brake orbits in nonlinear Hamiltonian systems. SCI CHINA SER A 50, 761–772 (2007). https://doi.org/10.1007/s11425-007-0034-3

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  • DOI: https://doi.org/10.1007/s11425-007-0034-3

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