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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Original Article

Kyungpook Mathematical Journal 2015; 55(3): 563-586

Published online September 23, 2015

Copyright © Kyungpook Mathematical Journal.

Analysis, Control, and Synchronization of a 3-D Novel Jerk Chaotic System with Two Quadratic Nonlinearities

Sundarapandian Vaidyanathan

Research and Development Centre, Vel Tech University, # 42, Avadi-Vel Tech Road, Avadi, Chennai-600 062, Tamil Nadu, India

Abstract

In this research work, a seven-term 3-D novel jerk chaotic system with two quadratic nonlinearities has been proposed. The basic qualitative properties of the novel jerk chaotic system have been described in detail.  Next, an adaptive backstepping controller is designed to stabilize the novel jerk chaotic system with two unknown parameters. Moreover, an adaptive backstepping controller is designed to achieve complete chaos synchronization of the identical novel jerk chaotic systems with two unknown parameters. MATLAB simulations have been shown in detail
to illustrate all the main results developed for the 3-D  novel jerk chaotic system

Keywords: Chaos, jerk system, novel system, adaptive control, backstepping control, chaos synchronization.