A Novel Four-Dimensional Memristive Hyperchaotic System with Its Analog Circuit Implementation

Abstract

A novel memristor-based hyperchaotic system is proposed and studied in this paper. The memristor is nonlinear memory element intrinsically, which has the potential application for generating complex dynamics in nonlinear circuit to reduce system power consumption and circuit size. As the non-linear part of a system, the HP memristor is introduced to a four-dimensional system. Chaotic attractors, Lyapunov exponent spectrum, Lyapunov dimension, power spectrum, Poincaré map and bifurcation with respect to various circuit parameter, are considered and observed, which together demonstrate the rich chaotic dynamical behaviors of the system. Finally, the circuit in SPICE are designed for the proposed memristive hyperchaotic system. The SPICE experimental results are consistent with the numerical simulation results, which verifies the feasibility of the memristor hyperchaotic system.