Global Chaos Synchronization of Hyperchaotic Newton-leipnik Systems by Sliding Mode Control

This paper investigates the global chaos synchronization of identical hyperchaotic Newton-Leipnik systems (Ghosh and Bhattacharya, 2010) by sliding mode control. The stability results derived in this paper for the complete synchronization of identical hyperchaotic Newton-Leipnik chaotic systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode control method is very effective and convenient to achieve global chaos synchronization of the identical hyperchaotic Newton-Leipnik systems. Numerical simulations are shown to illustrate and validate the synchronization schemes derived in this paper for the identical hyperchaotic Newton-Leipnik systems.