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

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 sys...

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Bibliographic Details
Main Authors: Ahmad Taher Azar, Christos Volos, Nikolaos A. Gerodimos, George S. Tombras, Viet-Thanh Pham, Ahmed G. Radwan, Sundarapandian Vaidyanathan, Adel Ouannas, Jesus M. Munoz-Pacheco
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2017/7871467
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Summary: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.
ISSN:1076-2787
1099-0526