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

  • Wang Mao-nan
  • Xu Zhen-yuan


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.

Key words

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

CLC number



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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

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

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