A fractional-order multi-scroll hyperchaotic Chua system and its synchronization

Abstract

In this paper, a four-dimensional fractional-order multi-scroll hyperchaotic Chua system is proposed. By utilizing the fractional calculus theory and computer simulations, it is found that multi-scroll hyperchaotic attractor exists in this fractional-order Chua system with order less than 4. Furthermore, synchronization between two fractional-order multi-scroll hyperchaotic Chua systems is achieved by a suitable linear controller applied to the response system and the corresponding numerical simulations are performed.