ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Adaptive Anti-Synchronization Between Different Hyperchaotic Systems with Uncertain Parameters

Author(s):

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

saurabh.goel9944@gmail.com

S. Das

Department of Applied Mathematics
Indian Institute of Technology (BHU),
Varanasi-221 005, INDIA

sdas.apm@itbhu.ac.in

Abstract:

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.

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