Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (6): 753-762.

• Articles •     Next Articles

Bifurcation of Homoclinic Orbit in Fast Oscillation

 LIU Xin-Bo, SHU De-Ming   

  • Online:2005-12-24 Published:2005-12-24
  • Supported by:

    国家自然科学基金(10371040)和上海市重点学科建设项目资助

Abstract:

This paper considers homoclinic bifurcation of the system s with  angular variable in fast oscillation.  By establishing the whole Poincar é map,the authors  discuss the persistence of homoclinic orbits and the existe nce of periodic orbit bifurcated from it.  Some known results are extended

Key words: Fast oscillated system; , Local coordinate system, Homocl inic orbit, Poincaré, map; , Bifurcation

CLC Number: 

  • 34C23
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