Simulation investigation on multi-scroll chaotic and hyperchaotic attractors for four-dimensional systems

Abstract

On the basis of double scroll chaotic attractors,taking the modified Chua's circuit and fourth-order Chua's circuit as examples,a new method for study chaotic and hyperchaotic attractors with multi-scroll in four-dimensional systems is presented.According to this method,the recursion rules used to generate multi-scroll attractors are mathematically obtained.Only given initial values of ma,mb and x1,according to the presented recursion formulas,can the values of other breakpoints and equilibrium points of a piecewise linear characteristic in multi-scroll attractors be determined,and multi-scroll chotic and hyperchaotic attractors for 4D systems generated.This method can be applied to generating attractors having any scrolls with general regularity.Theoretic analysis,computer and circuit simulation results have proved the feasibility of this method.