A third-order memristive Wien-bridge circuit and its integrable deformation

Abstract

In this paper, a novel passive memristor model and its equivalent circuit model are designed, analysed and realised to investigate the memristor characteristics and their applications in nonlinear circuits. By employing this memristor model, a new third-order memristive Wien bridge is set up. Dynamical behaviours of the system are studied in detail, and multiscroll attractors, coexisting bifurcation modes, coexisting attractors, antimonotonicity and transient chaotic bursting are observed in this system by using theoretical analysis, simulation analysis and circuit experiment. Integrable deformation of the memristive Wien-bridge system is analysed. The circuit experiment is performed by replacing the memristor with its equivalent circuit model in the proposed memristor-based Wien-bridge circuit.