Transforming the map with a multicavity attractor to the one with multiple coexisting cavity-attractors
摘要
Typically, the Self-Cascade (SC) system of a discrete map exhibits more complex dynamics. Based on the hypothesis, multiple coexisting cavity-attractors are extracted out from the multicavity map by the approach of SC. A Hybrid Self-cascade system can be constructed further if the original map gets coupled with its SC system. As a result, any combination of those coexisting cavity-attractors can be selected by different regimes of Hybrid Self-Cascade (HSC). The specific dynamics of the cascade system is determined by the cascade regime and the initial conditions as well. The new type of structure-oriented multistability has never been reported before. Experiment based on the platform of CH32 verifies the correctness of the theoretical analysis and the related numerical simulations.