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Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (11): 1081-1089.

• 论文 • 上一篇    

CHAOS AND BIFURCATION OF PHASE-LOCKING LOOPS UNDER PERIODIC PERTURBATION

郭瑞海1, 袁晓凤2   

  1. 1. Southwest Institute for Nationalities, Chengdu;
    2. Institute of Mathematical Sciences, Academia Sinca, Academia Sinica, Chengdu
  • 收稿日期:1988-09-07 出版日期:1989-11-18 发布日期:1989-11-18
  • 基金资助:

    Project Supported by the National Natural Science Foundation of China

CHAOS AND BIFURCATION OF PHASE-LOCKING LOOPS UNDER PERIODIC PERTURBATION

Guo Rui-hai1, Yuan Xiao-feng2   

  1. 1. Southwest Institute for Nationalities, Chengdu;
    2. Institute of Mathematical Sciences, Academia Sinca, Academia Sinica, Chengdu
  • Received:1988-09-07 Online:1989-11-18 Published:1989-11-18
  • Supported by:

    Project Supported by the National Natural Science Foundation of China

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摘要： This paper discusses the chaos and bifurcation for equation x+εcosxx+αsinx =εbsint. By use of the Melnikov method the conditions to have the chaotic behavior and to have subharmonic oscillations are given.

Abstract: This paper discusses the chaos and bifurcation for equation x+εcosxx+αsinx =εbsint. By use of the Melnikov method the conditions to have the chaotic behavior and to have subharmonic oscillations are given.

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