论文部分内容阅读
A crisis of forced pendulum is observed with the variation of a system parameter by means of GCMD method.The crisis happens when a chaotic attractor collides with a regular or a chaotic saddle, and is called a regular or a chaotic crisis, respectively.By increasing a small constant bias in the forcing and considering both the system parameter and bias together as controls, a double crisis vertex in a two-parameter plane is determined, at which four curves of crises meet and four distinct crises coincide.An example of such a double crisis is given with two regular boundary crises compounded with two chaotic interior crises.Physically small parameter perturbations (noise) about such a vertex induce drastic changes in the dynamics.