A New Nonlinear Chaotic Complex Model and Its Complex Antilag Synchronization

Another chaotic nonlinear Lü model with complex factors is covered here. We can build this riotous complex system when we add a complex nonlinear term to the third condition of the complex Lü system and think of it as if every one of the factors is mind boggling or complex. This system in real adapt...

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Main Authors: Emad E. Mahmoud, Fatimah S. Abood
Format: Article
Language:English
Published: Hindawi-Wiley 2017-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2017/3848953
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spelling doaj-711e488c3e594940ad020d638dd102c92020-11-25T00:43:27ZengHindawi-WileyComplexity1076-27871099-05262017-01-01201710.1155/2017/38489533848953A New Nonlinear Chaotic Complex Model and Its Complex Antilag SynchronizationEmad E. Mahmoud0Fatimah S. Abood1Department of Mathematics, College of Science, Sohag University, Sohag 82524, EgyptDepartment of Mathematics, College of Science, King Khalid University, Abha, Saudi ArabiaAnother chaotic nonlinear Lü model with complex factors is covered here. We can build this riotous complex system when we add a complex nonlinear term to the third condition of the complex Lü system and think of it as if every one of the factors is mind boggling or complex. This system in real adaptation is a 6-dimensional continuous autonomous chaotic system. Different types of chaotic complex Lü system are developed. Also, another sort of synchronization is presented by us which is simple for anybody to ponder for the chaotic complex nonlinear system. This sort might be called a complex antilag synchronization (CALS). There are irregular properties for CALS and they do not exist in the literature; for example, (i) the CALS contains or fused two sorts of synchronizations (antilag synchronization ALS and lag synchronization LS); (ii) in CALS the attractors of the main and slave systems are moving opposite or similar to each other with time lag; (iii) the state variable of the main system synchronizes with a different state variable of the slave system. A scheme is intended to accomplish CALS of chaotic complex systems in light of Lyapunov function. The acquired outcomes and effectiveness can be represented by a simulation case for our new model.http://dx.doi.org/10.1155/2017/3848953
collection DOAJ
language English
format Article
sources DOAJ
author Emad E. Mahmoud
Fatimah S. Abood
spellingShingle Emad E. Mahmoud
Fatimah S. Abood
A New Nonlinear Chaotic Complex Model and Its Complex Antilag Synchronization
Complexity
author_facet Emad E. Mahmoud
Fatimah S. Abood
author_sort Emad E. Mahmoud
title A New Nonlinear Chaotic Complex Model and Its Complex Antilag Synchronization
title_short A New Nonlinear Chaotic Complex Model and Its Complex Antilag Synchronization
title_full A New Nonlinear Chaotic Complex Model and Its Complex Antilag Synchronization
title_fullStr A New Nonlinear Chaotic Complex Model and Its Complex Antilag Synchronization
title_full_unstemmed A New Nonlinear Chaotic Complex Model and Its Complex Antilag Synchronization
title_sort new nonlinear chaotic complex model and its complex antilag synchronization
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2017-01-01
description Another chaotic nonlinear Lü model with complex factors is covered here. We can build this riotous complex system when we add a complex nonlinear term to the third condition of the complex Lü system and think of it as if every one of the factors is mind boggling or complex. This system in real adaptation is a 6-dimensional continuous autonomous chaotic system. Different types of chaotic complex Lü system are developed. Also, another sort of synchronization is presented by us which is simple for anybody to ponder for the chaotic complex nonlinear system. This sort might be called a complex antilag synchronization (CALS). There are irregular properties for CALS and they do not exist in the literature; for example, (i) the CALS contains or fused two sorts of synchronizations (antilag synchronization ALS and lag synchronization LS); (ii) in CALS the attractors of the main and slave systems are moving opposite or similar to each other with time lag; (iii) the state variable of the main system synchronizes with a different state variable of the slave system. A scheme is intended to accomplish CALS of chaotic complex systems in light of Lyapunov function. The acquired outcomes and effectiveness can be represented by a simulation case for our new model.
url http://dx.doi.org/10.1155/2017/3848953
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