COMPLEX DYNAMICS AND CIRCUIT IMPLEMENTATION OF AN INFINITE-EQUILIBRIA MEMRISTIVE CHAOTIC SYSTEM

An infinite-equilibria memristive chaotic system (MCS) with plentiful parameter-relied and initial-relied dynamics is constructed from a six-term three-dimensional (3D) system by leading into a flux-controlled memristor. The stabilities of equilibria and dynamical behaviors are discussed. Period-doubling bifurcation corresponds to system parameters and initial values are investigated to reveal its chaos generation. Infinite coexisting chaotic and periodic attractors are discovered in the system by using bifurcation diagrams and phase portraits. Changing multiple parameters of the system, the oscillation amplitude of variables increase or decrease accordingly, yielding the amplitude control feature. Not only the parameter-relied amplitude control, but also the initial-relied amplitude control is found as well. Moreover, the circuit implementation is given to support the physical existence and reliability of the system.