Theoretical design approach of four-dimensional piecewise-linear multi-wing hyperchaotic differential dynamic system

This paper reports a novel approach for constructing four-dimensional piecewise-linear multi-wing hyperchaotic differential dynamic system. First, two basic four-dimensional linear systems are obtained. Then, by switching control based on Shilnikov theorem, the double-wing hyperchaotic attractors can be generated. Thirdly, by mth shifting transformation of four-dimensional linear systems, multi-wing hyperchaotic attractors are realized. The designed systems are chaotic in the sense of Smale horseshoe. To confirm the existence of hyperchaotic system, Lyapunov exponent spectrums are further investigated. (C) 2016 Elsevier GmbH. All rights reserved.