Eur. Phys. J. Special Topics 223, 1519-1529 (2014)
https://doi.org/10.1140/epjst/e2014-02114-2

Regular Article

Analysis and adaptive synchronization of eight-term 3-D polynomial chaotic systems with three quadratic nonlinearities

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

^a e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 21 January 2014
Revised: 10 February 2014
Published online: 19 March 2014

Abstract

This paper proposes a eight-term 3-D polynomial chaotic system with three quadratic nonlinearities and describes its properties. The maximal Lyapunov exponent (MLE) of the proposed 3-D chaotic system is obtained as L₁ = 6.5294. Next, new results are derived for the global chaos synchronization of the identical eight-term 3-D chaotic systems with unknown system parameters using adaptive control. Lyapunov stability theory has been applied for establishing the adaptive synchronization results. Numerical simulations are shown using MATLAB to describe the main results derived in this paper.