Non-Smooth Dynamic Behaviors as well as the Generation Mechanisms in a Modified Filippov-Type Chua’s Circuit with a Low-Frequency External Excitation

The main purpose of this paper is to study point-cycle type bistability as well induced periodic bursting oscillations by taking a modified Filippov-type Chua’s circuit system with low-frequency external excitation an example. Two different kinds bistable structures in the fast subsystem are obtained via conventional bifurcation analyses; meanwhile, nonconventional bifurcations also employed explain nonsmooth bistability. In following numerical investigations, dynamic evolutions full presented regarding amplitude and frequency analysis parameters. As consequence, we can find that classification method for smooth systems not completely applicable when such sliding persistence involved; addition, it should be pointed out emergence oscillation does depend on under structure paper. It predicted there may other unrevealed slow–fast transition mechanisms worthy further study.