Design of a New Chaotic System with Sine Function: Dynamic Analysis and Offset Boosting Control

Abstract

A new chaotic system is presented in this research work.The proposed system has three nonlinear terms and one sine term which improves the complexity of the system. The basic properties of new system such as Lyapunov exponent, equilibrium point and stability are analyzed in detail. The dynamic analysis is conducted using classic tools such as bifurcation diagram and Lyapunov exponent plot to verify the chaotic nature in the proposed system. The changes in the states of the system is verified using bifurcation diagram and Lyapunov exponent plot. The proposed system presents some special features such as two wing attractors, forward and reverse periodic doubling bifurcation, and dc offset boosting control. The dc offset boosting behavior can be used to diagnosis the multistability behaviour in the dynamical system and to reduce the number of components in the communication system. This special feature converts the bipolar signal in to unipolar signal which can be used in many engineering applications. The theoretical study and the simulation results show that the proposed system has wealthy chaotic behaviour itself. Furthermore, the adaptive synchronization of identical new system is achieved for the application of secure communication system.