中国物理B ›› 2008, Vol. 17 ›› Issue (1): 117-124.doi: 10.1088/1674-1056/17/1/021

• GENERAL • 上一篇    下一篇

New bifurcations of basin boundaries involving Wada and a smooth Wada basin boundary

邹海林, 徐健学, 江俊   

  1. Institute of Nonlinear Dynamics, MOE Key Laboratory for Strength and Vibration, \Xi'an Jiaotong University, Xi'an 710049, China
  • 出版日期:2008-01-20 发布日期:2008-01-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10432010 and 10472086).

New bifurcations of basin boundaries involving Wada and a smooth Wada basin boundary

Zou Hai-Lin(邹海林)†, Xu Jian-Xue(徐健学), and Jiang Jun(江俊)   

  1. Institute of Nonlinear Dynamics, MOE Key Laboratory for Strength and Vibration, \Xi'an Jiaotong University, Xi'an 710049, China
  • Online:2008-01-20 Published:2008-01-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10432010 and 10472086).

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摘要： This paper demonstrates and analyses double heteroclinic tangency in a three-well potential model, which can produce three new types of bifurcations of basin boundaries including from smooth to Wada basin boundaries, from fractal to Wada basin boundaries in which no changes of accessible periodic orbits happen, and from Wada to Wada basin boundaries. In a model of mechanical oscillator, it shows that a Wada basin boundary can be smooth.

Abstract: This paper demonstrates and analyses double heteroclinic tangency in a three-well potential model, which can produce three new types of bifurcations of basin boundaries including from smooth to Wada basin boundaries, from fractal to Wada basin boundaries in which no changes of accessible periodic orbits happen, and from Wada to Wada basin boundaries. In a model of mechanical oscillator, it shows that a Wada basin boundary can be smooth.

Key words: Wada basin boundary, heteroclinic tangency, smooth Wada basin boundary

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a