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

作　　者：邹海林 徐健学 江俊 

机构地区：[1]Institute of Nonlinear Dynamics, MOE Key Laboratory for Strength and Vibration,Xi'an Jiaotong University [2]Institute of Nonlinear Dynamics, MOE Key Laboratory for Strength and Vibration,Xi’an Jiaotong University

出　　处：《Chinese Physics B》2008年第1期117-124,共8页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos 10432010 and 10472086)

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.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.

关 键 词：Wada basin boundary heteroclinic tangency smooth Wada basin boundary 

分 类 号：P618.13[天文地球—矿床学]