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Volume 2017 (2017), Article ID 7871467, 11 pages
Research Article

A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization

1Faculty of Computers and Information, Benha University, Benha, Egypt
2Nanoelectronics Integrated Systems Center (NISC), Nile University, Giza, Egypt
3Department of Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
4Faculty of Physics, Department of Electronics, Computers, Telecommunications and Control, National and Kapodistrian University of Athens, 15784 Athens, Greece
5School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam
6Engineering Mathematics and Physics, Cairo University, Giza, Egypt
7Research and Development Center, Vel Tech University, Avadi, Chennai, Tamil Nadu 600062, India
8Laboratory of Mathematics, Informatics and Systems (LAMIS), University of Larbi Tebessi, 12002 Tebessa, Algeria
9University of Puebla, Puebla, PUE, Mexico

Correspondence should be addressed to Christos Volos

Received 21 October 2016; Revised 12 December 2016; Accepted 22 December 2016; Published 2 February 2017

Academic Editor: Carlos Gershenson

Copyright © 2017 Ahmad Taher Azar 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.


A few special chaotic systems without unstable equilibrium points have been investigated recently. It is worth noting that these special systems are different from normal chaotic ones because the classical Shilnikov criterion cannot be used to prove chaos of such systems. A novel unusual chaotic system without equilibrium is proposed in this work. We discover dynamical properties as well as the synchronization of the new system. Furthermore, a physical realization of the system without equilibrium is also implemented to illustrate its feasibility.