Dynamic Analysis and Synchronization for a Generalized Class of Nonlinear Systems

摘要

This paper presents a generalized differential equation structure which gives rise to new nonlinear, chaotic systems and also encompasses many well known systems, i.e. Lorenz, Chen, Lu, Rossler, Sprott and others. Throughout the paper we shall analyze several properties from a few of the systems derived from this general structure. Some of the systems described in the article, to the extent of the authors knowledge, have not been published. The analytical and numerical results derived from these analysis have shown evidence of chaotic behavior. We will also address the possibility of quasi-simultaneous synchronization for some members of this class of chaotic systems.