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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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:	Hindawi-Wiley 2017-01-01
Series:	Complexity
Online Access:	http://dx.doi.org/10.1155/2017/7871467

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spelling	doaj-6fa2d7cedcf142f9a45cadcdb35b5a332020-11-24T23:07:52ZengHindawi-WileyComplexity1076-27871099-05262017-01-01201710.1155/2017/78714677871467A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit RealizationAhmad Taher Azar0Christos Volos1Nikolaos A. Gerodimos2George S. Tombras3Viet-Thanh Pham4Ahmed G. Radwan5Sundarapandian Vaidyanathan6Adel Ouannas7Jesus M. Munoz-Pacheco8Faculty of Computers and Information, Benha University, Benha, EgyptDepartment of Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, GreeceFaculty of Physics, Department of Electronics, Computers, Telecommunications and Control, National and Kapodistrian University of Athens, 15784 Athens, GreeceFaculty of Physics, Department of Electronics, Computers, Telecommunications and Control, National and Kapodistrian University of Athens, 15784 Athens, GreeceSchool of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, VietnamNanoelectronics Integrated Systems Center (NISC), Nile University, Giza, EgyptResearch and Development Center, Vel Tech University, Avadi, Chennai, Tamil Nadu 600062, IndiaLaboratory of Mathematics, Informatics and Systems (LAMIS), University of Larbi Tebessi, 12002 Tebessa, AlgeriaUniversity of Puebla, Puebla, PUE, MexicoA 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.http://dx.doi.org/10.1155/2017/7871467
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	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
spellingShingle	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 A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization Complexity
author_facet	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
author_sort	Ahmad Taher Azar
title	A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization
title_short	A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization
title_full	A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization
title_fullStr	A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization
title_full_unstemmed	A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization
title_sort	novel chaotic system without equilibrium: dynamics, synchronization, and circuit realization
publisher	Hindawi-Wiley
series	Complexity
issn	1076-2787 1099-0526
publishDate	2017-01-01
description	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.
url	http://dx.doi.org/10.1155/2017/7871467
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A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization

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