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.
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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