Hybrid Dislocated Control and General Hybrid Projective Dislocated Synchronization for Memristor Chaotic Oscillator System

Some important dynamical properties of the memristor chaotic oscillator system have been studied in the paper. A novel hybrid dislocated control method and a general hybrid projective dislocated synchronization scheme have been realized for memristor chaotic oscillator system. The paper firstly pres...

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Main Authors: Junwei Sun, Chun Huang, Guangzhao Cui
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2014/563172
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author Junwei Sun
Chun Huang
Guangzhao Cui
author_facet Junwei Sun
Chun Huang
Guangzhao Cui
author_sort Junwei Sun
collection DOAJ
description Some important dynamical properties of the memristor chaotic oscillator system have been studied in the paper. A novel hybrid dislocated control method and a general hybrid projective dislocated synchronization scheme have been realized for memristor chaotic oscillator system. The paper firstly presents hybrid dislocated control method for stabilizing chaos to the unstable equilibrium point. Based on the Lyapunov stability theorem, general hybrid projective dislocated synchronization has been studied for the drive memristor chaotic oscillator system and the same response memristor chaotic oscillator system. For the different dimensions, the memristor chaotic oscillator system and the other chaotic system have realized general hybrid projective dislocated synchronization. Numerical simulations are given to show the effectiveness of these methods.
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spelling doaj-art-234ecb6a267e4e9e80487d8a9424b0d72025-08-20T02:04:37ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/563172563172Hybrid Dislocated Control and General Hybrid Projective Dislocated Synchronization for Memristor Chaotic Oscillator SystemJunwei Sun0Chun Huang1Guangzhao Cui2College of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, ChinaCollege of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, ChinaCollege of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, ChinaSome important dynamical properties of the memristor chaotic oscillator system have been studied in the paper. A novel hybrid dislocated control method and a general hybrid projective dislocated synchronization scheme have been realized for memristor chaotic oscillator system. The paper firstly presents hybrid dislocated control method for stabilizing chaos to the unstable equilibrium point. Based on the Lyapunov stability theorem, general hybrid projective dislocated synchronization has been studied for the drive memristor chaotic oscillator system and the same response memristor chaotic oscillator system. For the different dimensions, the memristor chaotic oscillator system and the other chaotic system have realized general hybrid projective dislocated synchronization. Numerical simulations are given to show the effectiveness of these methods.http://dx.doi.org/10.1155/2014/563172
spellingShingle Junwei Sun
Chun Huang
Guangzhao Cui
Hybrid Dislocated Control and General Hybrid Projective Dislocated Synchronization for Memristor Chaotic Oscillator System
Advances in Mathematical Physics
title Hybrid Dislocated Control and General Hybrid Projective Dislocated Synchronization for Memristor Chaotic Oscillator System
title_full Hybrid Dislocated Control and General Hybrid Projective Dislocated Synchronization for Memristor Chaotic Oscillator System
title_fullStr Hybrid Dislocated Control and General Hybrid Projective Dislocated Synchronization for Memristor Chaotic Oscillator System
title_full_unstemmed Hybrid Dislocated Control and General Hybrid Projective Dislocated Synchronization for Memristor Chaotic Oscillator System
title_short Hybrid Dislocated Control and General Hybrid Projective Dislocated Synchronization for Memristor Chaotic Oscillator System
title_sort hybrid dislocated control and general hybrid projective dislocated synchronization for memristor chaotic oscillator system
url http://dx.doi.org/10.1155/2014/563172
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AT chunhuang hybriddislocatedcontrolandgeneralhybridprojectivedislocatedsynchronizationformemristorchaoticoscillatorsystem
AT guangzhaocui hybriddislocatedcontrolandgeneralhybridprojectivedislocatedsynchronizationformemristorchaoticoscillatorsystem