An extended study of extreme multistability in a memristive circuit

Abstract

In this paper, the complete study of the phenomenon of extreme multistability in an active BPF-based memristive circuit is presented. To some extent, this work revealed that the extreme multistability phenomenon of coexisting infinitely many attractors' behavior depends not only on memristor initial condition-dependent dynamics, as it has been reported in literature, but also on the rest of circuit's initial condition-dependent dynamics. The circuit's behavior is studied by using well-known tools of nonlinear theory, such as a bifurcation-like diagram, Lyapunov exponents and phase portraits.