Anti-synchronization of Bhalekar–Gejji Chaotic System via Nonlinear Active Control

Abstract

Abstract
In this paper, a scheme of global anti-synchronization between two identical newly developed Bhalekar–Gejji chaotic system is proposed. This anti-synchronization scheme is achieved by using nonlinear active control since the parameters of both the systems are known and states are measurable. Lyapunov stability theory is used to ensure stability of error dynamics. Controller is designed by using the sum of relevant variables in master and slave chaotic systems. Simulation results reveal that proposed scheme is working satisfactorily.
Keywords: Bhalekar–Gejji chaotic system, synchronization, anti-synchronization, nonlinear active control, lyapunov stability

Cite this Article
Prakash SJ, Pratap SP, Roy B. Anti-synchronization of Bhalekar–Gejji Chaotic System via Nonlinear Active Control. Research & Reviews: Journal of Physics. 2015; 4(1): 1–6p.