Coexisting attractors in a memcapacitor-based chaotic oscillator

In this paper, a smooth curve model of memcapacitor and its equivalent circuit are designed. Based on this memcapacitor, a novel memcapacitive chaotic circuit is presented. Dynamical behaviors of the circuit with various parameters are investigated both theoretically and experimentally. The numerical results indicate that the circuit displays complex nonlinear properties including coexisting and symmetrical bifurcations. The main characteristic of this memcapacitive chaotic circuit is the various coexisting attractors. Different kinds of coexisting attractors and their corresponding conditions are given. The equilibrium set, Lyapunov exponent spectrum and the basin of attraction are also analyzed. Besides, experimental results are given to confirm the correction of the numerical simulations.

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