Modified Function Projective Synchronization of Financial Hyperchaotic Systems via Adaptive Impulsive Controller with Unknown Parameters

Modified function projective synchronization via adaptive impulsive controller between two different financial hyperchaotic systems is investigated, where the external uncertainties are considered. The updated laws of the unknown parameters are given and the sufficient conditions are deduced based o...

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Main Authors: Guoliang Cai, Lingling Zhang, Lan Yao, Xiulei Fang
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/572735
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author Guoliang Cai
Lingling Zhang
Lan Yao
Xiulei Fang
author_facet Guoliang Cai
Lingling Zhang
Lan Yao
Xiulei Fang
author_sort Guoliang Cai
collection DOAJ
description Modified function projective synchronization via adaptive impulsive controller between two different financial hyperchaotic systems is investigated, where the external uncertainties are considered. The updated laws of the unknown parameters are given and the sufficient conditions are deduced based on Lyapunov stability theorem and the stability analysis of impulsive system. Finally, the two financial hyperchaotic systems are taken for example and the numerical examples are worked through for illustrating the main results.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2015-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-200445101dd44100843f0d52d3c9e3ce2025-02-03T06:44:46ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/572735572735Modified Function Projective Synchronization of Financial Hyperchaotic Systems via Adaptive Impulsive Controller with Unknown ParametersGuoliang Cai0Lingling Zhang1Lan Yao2Xiulei Fang3Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaNonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaNonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaNonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaModified function projective synchronization via adaptive impulsive controller between two different financial hyperchaotic systems is investigated, where the external uncertainties are considered. The updated laws of the unknown parameters are given and the sufficient conditions are deduced based on Lyapunov stability theorem and the stability analysis of impulsive system. Finally, the two financial hyperchaotic systems are taken for example and the numerical examples are worked through for illustrating the main results.http://dx.doi.org/10.1155/2015/572735
spellingShingle Guoliang Cai
Lingling Zhang
Lan Yao
Xiulei Fang
Modified Function Projective Synchronization of Financial Hyperchaotic Systems via Adaptive Impulsive Controller with Unknown Parameters
Discrete Dynamics in Nature and Society
title Modified Function Projective Synchronization of Financial Hyperchaotic Systems via Adaptive Impulsive Controller with Unknown Parameters
title_full Modified Function Projective Synchronization of Financial Hyperchaotic Systems via Adaptive Impulsive Controller with Unknown Parameters
title_fullStr Modified Function Projective Synchronization of Financial Hyperchaotic Systems via Adaptive Impulsive Controller with Unknown Parameters
title_full_unstemmed Modified Function Projective Synchronization of Financial Hyperchaotic Systems via Adaptive Impulsive Controller with Unknown Parameters
title_short Modified Function Projective Synchronization of Financial Hyperchaotic Systems via Adaptive Impulsive Controller with Unknown Parameters
title_sort modified function projective synchronization of financial hyperchaotic systems via adaptive impulsive controller with unknown parameters
url http://dx.doi.org/10.1155/2015/572735
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AT lanyao modifiedfunctionprojectivesynchronizationoffinancialhyperchaoticsystemsviaadaptiveimpulsivecontrollerwithunknownparameters
AT xiuleifang modifiedfunctionprojectivesynchronizationoffinancialhyperchaoticsystemsviaadaptiveimpulsivecontrollerwithunknownparameters