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Chin. Phys. B, 2008, Vol. 17(1): 117-124    DOI: 10.1088/1674-1056/17/1/021
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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)
Institute of Nonlinear Dynamics, MOE Key Laboratory for Strength and Vibration, \Xi'an Jiaotong University, Xi'an 710049, China
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.
Keywords:  Wada basin boundary      heteroclinic tangency      smooth Wada basin boundary  
Accepted manuscript online: 
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10432010 and 10472086).

Cite this article: 

Zou Hai-Lin(邹海林), Xu Jian-Xue(徐健学), and Jiang Jun(江俊) New bifurcations of basin boundaries involving Wada and a smooth Wada basin boundary 2008 Chin. Phys. B 17 117

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