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Entropy 2016, 18(2), 58; doi:10.3390/e18020058

A Memristor-Based Hyperchaotic Complex Lü System and Its Adaptive Complex Generalized Synchronization

1
School of Computer and Information Engineering, Fuyang Normal University, Fuyang 236041, China
2
Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China
3
College of Electrical Engineering and Automation, Anhui University, Hefei 230601, China
*
Author to whom correspondence should be addressed.
Academic Editor: J. A. Tenreiro Machado
Received: 7 December 2015 / Revised: 3 February 2016 / Accepted: 4 February 2016 / Published: 22 February 2016
(This article belongs to the Section Complexity)
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Abstract

This paper introduces a new memristor-based hyperchaotic complex Lü system (MHCLS) and investigates its adaptive complex generalized synchronization (ACGS). Firstly, the complex system is constructed based on a memristor-based hyperchaotic real Lü system, and its properties are analyzed theoretically. Secondly, its dynamical behaviors, including hyperchaos, chaos, transient phenomena, as well as periodic behaviors, are explored numerically by means of bifurcation diagrams, Lyapunov exponents, phase portraits, and time history diagrams. Thirdly, an adaptive controller and a parameter estimator are proposed to realize complex generalized synchronization and parameter identification of two identical MHCLSs with unknown parameters based on Lyapunov stability theory. Finally, the numerical simulation results of ACGS and its applications to secure communication are presented to verify the feasibility and effectiveness of the proposed method. View Full-Text
Keywords: memristor; hyperchaos; adaptive complex generalized synchronization; parameter identification; secure communication memristor; hyperchaos; adaptive complex generalized synchronization; parameter identification; secure communication
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Wang, S.; Wang, X.; Zhou, Y.; Han, B. A Memristor-Based Hyperchaotic Complex Lü System and Its Adaptive Complex Generalized Synchronization. Entropy 2016, 18, 58.

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