The design and implementation of a multi-wing chaotic attractor based on a five-term three-dimension system

The last two decades have seen great progress about the generation and circuit realization of multi-wing chaotic attractor. In this paper, several multi-scroll chaotic attractors are generated from a five-term system by adding a piecewise linear function. Moreover, some basic properties in terms of symmetry and dissipation, equilibrium points, eigenvalues of the Jacobian matrices, Lyapunov exponent spectrum, bifurcation diagram, and Poincare map are studied. In particular, an analog circuit is designed to implement the proposed multi-scroll attractors, which are different from the traditional attractors. Furthermore, an integrated circuit diagram is designed to realize the fractional-order multi-scroll attractors. Finally, the performed experimental results confirm the theoretical analysis, and our work lends itself to many potential applications in engineering. Copyright (c) 2015 John Wiley & Sons, Ltd.