Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (7): 627-632.

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COMPLETED AND INCOMPLETED STOCHASTIC WEBS

Liu Zeng-rong1, Xu Zheng-fan2, Wang Qi-gao3, Hou Dian-hui1   

  1. 1. LNM Institute of Mechanics Chinese Academy of Sciences; Department of Mathematics, Suzhou Universitv, Suzhou;
    2. Shanghia Maritime Institute, Shanghai;
    3. Suzhou Railway Teachers College, Suzhou
  • Received:1990-09-10 Online:1991-07-18 Published:1991-07-18
  • Supported by:
    The Project supported by the National Natural Science Foundation of China

Abstract: In this paper, the completed stochastic web and incompleted stochastic web produced by the perturbed saddle separatrix net are given. The structural properties of two kinds of web are discussed by means of the dynamical system theory.

Key words: completed stochastic web, incompleted stochastic web, transversal heteroclinic cycle, degenerated transversal heteroclinic cycle

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