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Entropy 2015, 17(11), 7628-7644; doi:10.3390/e17117628

A Memristor-Based Complex Lorenz System and Its Modified Projective Synchronization

1
Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China
2
School of Computer and Information Engineering, Fuyang Normal University, Fuyang 236041, China
3
College of Electrical Engineering and Automation, Anhui University, Hefei 230601, China
*
Authors to whom correspondence should be addressed.
Academic Editors: J.A. Tenreiro Machado and António M. Lopes
Received: 23 September 2015 / Revised: 23 October 2015 / Accepted: 29 October 2015 / Published: 5 November 2015
(This article belongs to the Special Issue Complex and Fractional Dynamics)
View Full-Text   |   Download PDF [1800 KB, uploaded 6 November 2015]   |  

Abstract

The aim of this paper is to introduce and investigate a novel complex Lorenz system with a flux-controlled memristor, and to realize its synchronization. The system has an infinite number of stable and unstable equilibrium points, and can generate abundant dynamical behaviors with different parameters and initial conditions, such as limit cycle, torus, chaos, transient phenomena, etc., which are explored by means of time-domain waveforms, phase portraits, bifurcation diagrams, and Lyapunov exponents. Furthermore, an active controller is designed to achieve modified projective synchronization (MPS) of this system based on Lyapunov stability theory. The corresponding numerical simulations agree well with the theoretical analysis, and demonstrate that the response system is asymptotically synchronized with the drive system within a short time. View Full-Text
Keywords: memristor-based; complex Lorenz system; nonlinear dynamics; modified projective synchronization memristor-based; complex Lorenz system; nonlinear dynamics; modified projective synchronization
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. A Memristor-Based Complex Lorenz System and Its Modified Projective Synchronization. Entropy 2015, 17, 7628-7644.

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