Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays
Wilson-Cowan model of neuronal population with time-varying delays is considered in this paper. Some sufficient conditions for the existence and delay-based exponential stability of a unique almost periodic solution are established. The approaches are based on constructing Lyapunov functionals and t...
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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2013/683091 |
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author | Shasha Xie Zhenkun Huang |
author_facet | Shasha Xie Zhenkun Huang |
author_sort | Shasha Xie |
collection | DOAJ |
description | Wilson-Cowan model of neuronal population with time-varying delays is considered in this paper. Some sufficient conditions for the existence and delay-based exponential stability of a unique almost periodic solution are established. The approaches are based on constructing Lyapunov functionals and the well-known Banach contraction mapping principle. The results are new, easily checkable, and complement existing periodic ones. |
format | Article |
id | doaj-art-ddcf28e6c5144e27a6361de81b4cb3f4 |
institution | Kabale University |
issn | 1026-0226 1607-887X |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
series | Discrete Dynamics in Nature and Society |
spelling | doaj-art-ddcf28e6c5144e27a6361de81b4cb3f42025-02-03T01:07:20ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/683091683091Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying DelaysShasha Xie0Zhenkun Huang1School of Science, Jimei University, Xiamen 361021, ChinaSchool of Science, Jimei University, Xiamen 361021, ChinaWilson-Cowan model of neuronal population with time-varying delays is considered in this paper. Some sufficient conditions for the existence and delay-based exponential stability of a unique almost periodic solution are established. The approaches are based on constructing Lyapunov functionals and the well-known Banach contraction mapping principle. The results are new, easily checkable, and complement existing periodic ones.http://dx.doi.org/10.1155/2013/683091 |
spellingShingle | Shasha Xie Zhenkun Huang Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays Discrete Dynamics in Nature and Society |
title | Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays |
title_full | Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays |
title_fullStr | Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays |
title_full_unstemmed | Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays |
title_short | Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays |
title_sort | almost periodic solutions for wilson cowan type model with time varying delays |
url | http://dx.doi.org/10.1155/2013/683091 |
work_keys_str_mv | AT shashaxie almostperiodicsolutionsforwilsoncowantypemodelwithtimevaryingdelays AT zhenkunhuang almostperiodicsolutionsforwilsoncowantypemodelwithtimevaryingdelays |