Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems

Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems

A class of new hyperchaotic systems with different nonlinear terms is proposed, and the existence of hyperchaos is exhibited by calculating their Lyapunov exponent spectrums. Then the universal theories on modified projective synchronization (MPS) of the systems with general form which linearly depe...

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Main Authors: Nuo Jia, Tao Wang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/804964
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spelling doaj-f64251837b4d43f1aedc098c744ae0862020-11-24T22:35:42ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/804964804964Generation and Modified Projective Synchronization for a Class of New Hyperchaotic SystemsNuo Jia0Tao Wang1School of Mathematical Sciences, Harbin Normal University, Harbin 150025, ChinaSchool of Mathematical Sciences, Harbin Normal University, Harbin 150025, ChinaA class of new hyperchaotic systems with different nonlinear terms is proposed, and the existence of hyperchaos is exhibited by calculating their Lyapunov exponent spectrums. Then the universal theories on modified projective synchronization (MPS) of the systems with general form which linearly depends on unknown parameters or time-varying parameters, are investigated by presenting an adaptive control strategy together with parameter update laws and a nonlinear control scheme based on Lyapunov stability theory. Subsequently, the presented control methods are applied to achieve MPS of the new hyperchaotic systems, and their effectiveness is illustrated by numerical simulations.http://dx.doi.org/10.1155/2013/804964
collection DOAJ
language English
format Article
sources DOAJ
author Nuo Jia
Tao Wang
spellingShingle Nuo Jia
Tao Wang
Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems
Abstract and Applied Analysis
author_facet Nuo Jia
Tao Wang
author_sort Nuo Jia
title Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems
title_short Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems
title_full Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems
title_fullStr Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems
title_full_unstemmed Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems
title_sort generation and modified projective synchronization for a class of new hyperchaotic systems
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description A class of new hyperchaotic systems with different nonlinear terms is proposed, and the existence of hyperchaos is exhibited by calculating their Lyapunov exponent spectrums. Then the universal theories on modified projective synchronization (MPS) of the systems with general form which linearly depends on unknown parameters or time-varying parameters, are investigated by presenting an adaptive control strategy together with parameter update laws and a nonlinear control scheme based on Lyapunov stability theory. Subsequently, the presented control methods are applied to achieve MPS of the new hyperchaotic systems, and their effectiveness is illustrated by numerical simulations.
url http://dx.doi.org/10.1155/2013/804964
work_keys_str_mv AT nuojia generationandmodifiedprojectivesynchronizationforaclassofnewhyperchaoticsystems
AT taowang generationandmodifiedprojectivesynchronizationforaclassofnewhyperchaoticsystems
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