A Novel Scheme Adaptive Hybrid Dislocated Synchronization for Two Identical and Different Memristor Chaotic Oscillator Systems with Uncertain Parameters

The drive system can synchronize with the response system by the scaling factor in the traditional projective synchronization. This paper proposes a novel adaptive hybrid dislocated synchronization with uncertain parameters scheme for chaos synchronization using the Lyapunov stability theory. The dr...

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Main Authors: Jie Chen, Junwei Sun, Ming Chi, Xin-Ming Cheng
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/675840
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author Jie Chen
Junwei Sun
Ming Chi
Xin-Ming Cheng
author_facet Jie Chen
Junwei Sun
Ming Chi
Xin-Ming Cheng
author_sort Jie Chen
collection DOAJ
description The drive system can synchronize with the response system by the scaling factor in the traditional projective synchronization. This paper proposes a novel adaptive hybrid dislocated synchronization with uncertain parameters scheme for chaos synchronization using the Lyapunov stability theory. The drive system is synchronized by the sum of hybrid dislocated state variables for the response system. By designing effective hybrid dislocated adaptive controller and hybrid dislocated adaptive law of the parameters estimation, we investigate the synchronization of two identical memristor chaotic oscillator systems and two different memristor chaotic oscillator systems with uncertain parameters. Finally, the numerical simulation examples are provided to show the effectiveness of our method.
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institution Kabale University
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spelling doaj-art-8d71d881a91644afae01ffd25b5a0dac2025-02-03T05:44:28ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/675840675840A Novel Scheme Adaptive Hybrid Dislocated Synchronization for Two Identical and Different Memristor Chaotic Oscillator Systems with Uncertain ParametersJie Chen0Junwei Sun1Ming Chi2Xin-Ming Cheng3College of Automation, Huazhong University of Science and Technology, Hubei 430074, ChinaCollege of Automation, Huazhong University of Science and Technology, Hubei 430074, ChinaCollege of Automation, Huazhong University of Science and Technology, Hubei 430074, ChinaSchool of Information Science and Engineering, Central South University, Changsha 410012, ChinaThe drive system can synchronize with the response system by the scaling factor in the traditional projective synchronization. This paper proposes a novel adaptive hybrid dislocated synchronization with uncertain parameters scheme for chaos synchronization using the Lyapunov stability theory. The drive system is synchronized by the sum of hybrid dislocated state variables for the response system. By designing effective hybrid dislocated adaptive controller and hybrid dislocated adaptive law of the parameters estimation, we investigate the synchronization of two identical memristor chaotic oscillator systems and two different memristor chaotic oscillator systems with uncertain parameters. Finally, the numerical simulation examples are provided to show the effectiveness of our method.http://dx.doi.org/10.1155/2014/675840
spellingShingle Jie Chen
Junwei Sun
Ming Chi
Xin-Ming Cheng
A Novel Scheme Adaptive Hybrid Dislocated Synchronization for Two Identical and Different Memristor Chaotic Oscillator Systems with Uncertain Parameters
Abstract and Applied Analysis
title A Novel Scheme Adaptive Hybrid Dislocated Synchronization for Two Identical and Different Memristor Chaotic Oscillator Systems with Uncertain Parameters
title_full A Novel Scheme Adaptive Hybrid Dislocated Synchronization for Two Identical and Different Memristor Chaotic Oscillator Systems with Uncertain Parameters
title_fullStr A Novel Scheme Adaptive Hybrid Dislocated Synchronization for Two Identical and Different Memristor Chaotic Oscillator Systems with Uncertain Parameters
title_full_unstemmed A Novel Scheme Adaptive Hybrid Dislocated Synchronization for Two Identical and Different Memristor Chaotic Oscillator Systems with Uncertain Parameters
title_short A Novel Scheme Adaptive Hybrid Dislocated Synchronization for Two Identical and Different Memristor Chaotic Oscillator Systems with Uncertain Parameters
title_sort novel scheme adaptive hybrid dislocated synchronization for two identical and different memristor chaotic oscillator systems with uncertain parameters
url http://dx.doi.org/10.1155/2014/675840
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