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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Format: | Article |
Language: | English |
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Wiley
2015-01-01
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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. |
format | Article |
id | doaj-art-200445101dd44100843f0d52d3c9e3ce |
institution | Kabale University |
issn | 1026-0226 1607-887X |
language | English |
publishDate | 2015-01-01 |
publisher | Wiley |
record_format | Article |
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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