Chaotic attractors based on unstable dissipative systems via third-order differential equation

摘要

In this paper, we present an approach how to yield 1D, 2D and 3D-grid multi-scroll chaotic systems in R-3 based on unstable dissipative systems via third-order differential equation. This class of systems is constructed by a switching control law(SCL) changing the equilibrium point of an unstable dissipative system. The switching control law that governs the position of the equilibrium point varies according to the number of scrolls displayed in the attractor.