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Crisis‐induced coexisting multiple attractors in a second‐order nonautonomous memristive diode bridge‐based circuit
Author(s) -
Xu Q.,
Zhang Q.L.,
Qian H.,
Wu H.G.,
Bao B.C.
Publication year - 2018
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.2492
Subject(s) - attractor , phase portrait , bifurcation , lyapunov exponent , control theory (sociology) , diode , memristor , computer science , topology (electrical circuits) , statistical physics , mathematics , physics , mathematical analysis , electronic engineering , engineering , nonlinear system , quantum mechanics , artificial intelligence , control (management) , combinatorics
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.