Continuation Analysis of Memristor-Based Modified Chua's Circuit

Multistability in chaotic systems is a recently emerged topic in nonlinear dynamics. One of powerful tools for studying it is continuation bifurcation diagrams. In this paper we investigate multistability in the memristor-based modified Chua's circuit. In addition to one-parameter continuation bifurcation diagrams and two-parametric continuation diagrams with row- and column-wise parameter change, we introduce a new type of two-parametric continuation diagrams with simultaneous parameter change. This allows identifying parameter regions of coexisting attractors. As the result, we found that the coexisting attractors in the modified Chua's circuit exist in a wider parameter range that it was previously found by using standard tools.