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Existence and uniqueness of hyperbolic periodic solution for a class Hamiltonian systems

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Chinese Science Bulletin

Abstract

Using the component Lyapunov functions and critical point theory, the theorem of exisence and uniqueness of hyperbolic periodic solution for a class of Hamiltonian systems is given.

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References

  1. Mawhin J., Willem M., Critical point theory and Hamiltonian systems, New York: Springer, 1989.

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  2. Hofer H., Wysocki, K., First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems,Math. Annal, 1990, 288(3): 483.

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Authors and Affiliations

  1. Deptartment of Insurance, Hunan College of Finance and Economics, 410070, Changsha, China

    Guanghua Li & Jianhua Liu

Authors
  1. Guanghua Li
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  2. Jianhua Liu
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Cite this article

Li, G., Liu, J. Existence and uniqueness of hyperbolic periodic solution for a class Hamiltonian systems. Chin.Sci.Bull. 44, 1184–1187 (1999). https://doi.org/10.1007/BF02885961

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  • DOI: https://doi.org/10.1007/BF02885961

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