Design of multiwing-multiscroll grid compound chaotic system and its circuit implementation

Abstract

Based on the simplified Lorenz multiwing attractor and the generalized Jerk multiscroll attractor, the grid compound chaotic systems are designed via state variables exchanging, state variables scale transformation, coordinate transformation and switching control. By designing different switching controllers, four kinds of grid compound attractors are realized. Dynamical characteristics of these grid compound systems are analyzed by the means of phase diagram, Poincaré section, bifurcation diagram and the largest Lyapunov exponent (LLE). The digital circuit and analog circuit are designed, which verify the feasibility of the circuit implement of the compound chaotic system.