A chaotic quasi-attractor in a kind of noninvertible conservative systems
一类不可逆保守系统中的混沌类吸引子

This paper reports a chaotic quasi-attractor discovered in a kind of noninvertible conservative systems. The systems can be viewed as simplified models for an electronic relaxation oscillator with voltage protection. The quasi-attracting property displayed by them denotes that some chaotic trajectories attract iterations outside them, and that the attraction is induced by the noninvertibility of the system. Our numerical studies indicate that the chaotic trajectories are formed by the set of images of the discontinuous border of the system. This behaviour very likely is a common property of this kind of systems.