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. |