Memristor initial-boosted coexisting plane bifurcations and its extreme multi-stability reconstitution in two-memristor-based dynamical system

Initial-dependent extreme multi-stability and offset-boosted coexisting attractors have been significantly concerned recently. This paper constructs a novel five-dimensional (5-D) two-memristor-based dynamical system by introducing two memristors with cosine memductance into a three-dimensional (3-D) linear autonomous dissipative system. Through theoretical analyses and numerical plots, the memristor initial-boosted coexisting plane bifurcations are found and the memristor initial-dependent extreme multi-stability is revealed in such a two-memristor-based dynamical system with plane equilibrium. Furthermore, a dimensionality reduction model with the determined equilibrium is established via an integral transformation method, upon which the memristor initial-dependent extreme multi-stability is reconstituted theoretically and expounded numerically Finally, physically circuit-implemented PSIM (power simulation) simulations are carried out to validate the plane offset-boosted coexisting behaviors.