Switching control of two three-dimensional chaotic systems

Abstract

Two smooth three-dimensional quadratic continuous autonomous chaotic systems with a symmetric parameter are constructed simultaneously in this paper. Two interesting symmetric chaotic attractors are generated from the pair of systems with a common initial condition. Three Lyapunov exponents of each system are calculated respectively for verifying the existence of chaos. By employing a novel switching control approach, two symmetric chaotic attractors can be connected effectively as a new symmetric chaotic attractor. Chaos can also be eliminated rapidly by utilizing a class of simple planar switching laws with appropriate parameters.