Crisis‐induced coexisting multiple attractors in a second‐order nonautonomous memristive diode bridge‐based circuit. (9th May 2018)

• Record Type: Journal Article
• Authors: Xu, Q.; Zhang, Q.L.; Qian, H.; Wu, H.G.; Bao, B.C.
• Is Part Of: International journal of circuit theory and applications. Volume 46:Number 10(2018)
• Page Start: 1917
• Page End: 1927
• Publication Date: 2018-05-09
• Subjects: coexisting multiple attractors -- crisis -- memristive diode bridge -- stimulus‐dependent dynamics; Electric circuit analysis -- Periodicals; 621.319205
• DOI: 10.1002/cta.2492
• Languages: English
• ISSNs: 0098-9886

Abstract

Summary: This paper reports a second‐order nonautonomous memristive diode bridge‐based circuit, upon which a system model is established. The AC and DC equilibrium points and their stability evolutions are theoretically analyzed, and the mechanisms of complex dynamical behaviors are explored in detail. Furthermore, the stimulus‐dependent dynamical behaviors are numerically performed by the single‐parameter bifurcation diagrams, Lyapunov exponents, and phase portraits. Of particular concern, it should be highly emphasized that multiple kinds of crisis scenarios associated with the initial conditions are found in a specified parameter region, resulting in that coexisting multiple attractors under different initial conditions are discovered for the fixed system parameters. Additionally, hardware experiments and PSpice circuit simulations are used to confirm the numerically simulated results. Abstract : A novel second‐order nonautonomous memristive diode bridge‐based circuit with simple topological structure is newly proposed. The AC and DC equilibrium points and their stability evolutions are theoretically analyzed, and the mechanisms of complex dynamical behaviors are explored in detail. Of particular concern, the coexisting behaviors of multiple attractors are found in a specified parameter region, which are not reported in any nonautonomous circuit yet.