Applied Mathematics and Mechanics

, Volume 22, Issue 3, pp 340–352 | Cite as

On the Homoclinic Orbits in a Class of Two-Degree-of-Freedom Systems under the Resonance Conditions

  • Mao-nan Wang
  • Zhen-yuan Xu


A class of two-degree-of-freedom systems in resonance with an external, parametric excitation is investigated, the existence of the periodic solutions locked to Ω is proved by the use of the method of multiple scales. This systems can be transformed into the systems of Wiggins under some conditions. A calculating formula which determines the existence of homoclinic orbits of the systems is given.

a two-degree-of-freedom system method of multiple scales periodic solution homoclinic orbit chaos 


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Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Mao-nan Wang
    • 1
  • Zhen-yuan Xu
    • 1
  1. 1.Mathematics and Physics InstituteWuxi University of Light IndustryWuxiP R China

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