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Volume 2019, Article ID 4647608, 11 pages
Research Article

Dynamics and Synchronization of a Memristor-Based Chaotic System with No Equilibrium

College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China

Correspondence should be addressed to Chun-Lai Li; moc.361@lhciltsinh

Received 26 July 2019; Accepted 17 September 2019; Published 28 October 2019

Guest Editor: Viet-Thanh Pham

Copyright © 2019 Hong-Min Li et al. 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.


The topics of memristive system and synchronization are two hot fields of research in nonlinear dynamics. In this paper, we introduce a memristor-based chaotic system with no equilibrium. It is found that the memristor-based system under investigation exhibits fruitful dynamic behaviors such as coexisting bifurcation, multistability, transient chaos, and transient quasiperiod. Thus, it is difficult to reproduce the accurate dynamics of the system, which is highly advantageous in encryption and communication. Then, a simple intermittent control scheme with adaptive mechanism is developed to achieve complete synchronization for the introduced system. Because the output signal is transmitted intermittently to the receiver system, more channel capacity can be saved and the security performance can be improved naturally in practical communication.