Anticontrol of Hopf Bifurcation and Control of Chaos for a Finance System through Washout Filters with Time Delay

A controlled model for a financial system through washout-filter-aided dynamical feedback control laws is developed, the problem of anticontrol of Hopf bifurcation from the steady state is studied, and the existence, stability, and direction of bifurcated periodic solutions are discussed in detail....

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Detalles Bibliográficos
Autores principales: Zhao, Huitao, Lu, Mengxia, Zuo, Junmei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3998009/
https://www.ncbi.nlm.nih.gov/pubmed/24977239
http://dx.doi.org/10.1155/2014/983034
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author Zhao, Huitao
Lu, Mengxia
Zuo, Junmei
author_facet Zhao, Huitao
Lu, Mengxia
Zuo, Junmei
author_sort Zhao, Huitao
collection PubMed
description A controlled model for a financial system through washout-filter-aided dynamical feedback control laws is developed, the problem of anticontrol of Hopf bifurcation from the steady state is studied, and the existence, stability, and direction of bifurcated periodic solutions are discussed in detail. The obtained results show that the delay on price index has great influences on the financial system, which can be applied to suppress or avoid the chaos phenomenon appearing in the financial system.
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spelling pubmed-39980092014-06-29 Anticontrol of Hopf Bifurcation and Control of Chaos for a Finance System through Washout Filters with Time Delay Zhao, Huitao Lu, Mengxia Zuo, Junmei ScientificWorldJournal Research Article A controlled model for a financial system through washout-filter-aided dynamical feedback control laws is developed, the problem of anticontrol of Hopf bifurcation from the steady state is studied, and the existence, stability, and direction of bifurcated periodic solutions are discussed in detail. The obtained results show that the delay on price index has great influences on the financial system, which can be applied to suppress or avoid the chaos phenomenon appearing in the financial system. Hindawi Publishing Corporation 2014 2014-04-03 /pmc/articles/PMC3998009/ /pubmed/24977239 http://dx.doi.org/10.1155/2014/983034 Text en Copyright © 2014 Huitao Zhao et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Zhao, Huitao
Lu, Mengxia
Zuo, Junmei
Anticontrol of Hopf Bifurcation and Control of Chaos for a Finance System through Washout Filters with Time Delay
title Anticontrol of Hopf Bifurcation and Control of Chaos for a Finance System through Washout Filters with Time Delay
title_full Anticontrol of Hopf Bifurcation and Control of Chaos for a Finance System through Washout Filters with Time Delay
title_fullStr Anticontrol of Hopf Bifurcation and Control of Chaos for a Finance System through Washout Filters with Time Delay
title_full_unstemmed Anticontrol of Hopf Bifurcation and Control of Chaos for a Finance System through Washout Filters with Time Delay
title_short Anticontrol of Hopf Bifurcation and Control of Chaos for a Finance System through Washout Filters with Time Delay
title_sort anticontrol of hopf bifurcation and control of chaos for a finance system through washout filters with time delay
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3998009/
https://www.ncbi.nlm.nih.gov/pubmed/24977239
http://dx.doi.org/10.1155/2014/983034
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AT lumengxia anticontrolofhopfbifurcationandcontrolofchaosforafinancesystemthroughwashoutfilterswithtimedelay
AT zuojunmei anticontrolofhopfbifurcationandcontrolofchaosforafinancesystemthroughwashoutfilterswithtimedelay

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