M. Srivastava
Department of Applied Mathematics
Indian Institute of Technology (BHU),
Varanasi-221 005, INDIA
mayanksrivastava1983@gmail.com
S. K. Agrawal
Department of Applied Mathematics
Indian Institute of Technology (BHU),
Varanasi-221 005, INDIA
S. Das
Department of Applied Mathematics
Indian Institute of Technology (BHU),
Varanasi-221 005, INDIA
This article deals with anti-synchronization between different hyperchaotic systems such as Lu system and Newton-Leipnik system; and Newton-Leipnik system and Rossler system using adaptive control method. Based on Lyapunov stability theory, the anti synchronization between a pair of hyperchaotic systems with fully unknown parameters are derived. An adaptive control law and a parameter update rule for unknown parameters are designed such that the hyperchaotic Newton-Leipnik system is controlled to be the hyperchaotic Lu system and hyperchaotic Rossler system is controlled to be the hyperchaotic Newton-Leipnik system. Numerical simulation results which are carried out using MATLAB, show that the adaptive control method is effective, easy to implement and reliable for anti-synchronizing of the considered hyperchaotic systems.