| New bifurcations of basin boundaries involving Wada and a smooth Wada basin boundary |
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| 作者姓名： | 邹海林 徐健学 江俊 |
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| 作者单位： | Institute of Nonlinear Dynamics, MOE Key Laboratory for
Strength and Vibration, \Xi'an Jiaotong University, Xi'an
710049, China;Institute of Nonlinear Dynamics, MOE Key Laboratory for
Strength and Vibration, \Xi'an Jiaotong University, Xi'an
710049, China;Institute of Nonlinear Dynamics, MOE Key Laboratory for
Strength and Vibration, \Xi'an Jiaotong University, Xi'an
710049, China |
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| 基金项目： | 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.
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| 关 键 词： | Wada域边界 不确定分岔 光滑性 边界激变 |
| 收稿时间： | 2006-12-28 |
| 修稿时间： | 2007-05-03 |
New bifurcations of basin boundaries involving Wada and a smooth Wada basin boundary |
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| Zou Hai-Lin,Xu Jian-Xue and Jiang Jun.New bifurcations of basin boundaries involving Wada and a smooth Wada basin boundary[J].Chinese Physics B,2008,17(1):117-124. |
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| Authors: | Zou Hai-Lin Xu Jian-Xue and Jiang Jun |
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| Institution: | Institute of Nonlinear Dynamics, MOE Key Laboratory for
Strength and Vibration, \Xi'an Jiaotong University, Xi'an
710049, China |
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| 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. |
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| Keywords: | Wada basin boundary heteroclinic tangency smooth Wada basin boundary |
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