Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (6): 1502-1506.

• Articles • Previous Articles     Next Articles

Homotopic Mapping Solution for a Class of Generalized Canard Systems

 MO Jia-Qi   

  1. Department of Mathemtics, Anhui Normal University, Anhui Wuhu 241003|Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240
  • Received:2010-05-08 Revised:2011-09-06 Online:2011-12-25 Published:2011-12-25
  • Supported by:

    国家自然科学基金$(40876010)、中国科学院知识创新工程重要方向项目(KZCX2-YW-Q03-08)、公益性行业科研专项(GYHY200806010)、
    LASG国家重点实验室专项经费、上海市教育委员会E-研究院建设计划项目(E03004)、安徽高校省级自然科学研究重点项目(KJ2011A135)和浙江省自然科学基金(Y6110502)资助

Abstract:

Using the homotopic mapping theory, the approximations of the solution for generalized canard systems are obtained. Firstly, introducing a set of homotopic mapping. Then the iteration expressions of solution for original system are constructed. Finally, the analytic expressions of the canard solution for problem are obtained.

Key words: Canard solution, Soliton, Homotopic mapping

CLC Number: 

  • 34E15
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