Autowaves in moving excitable media
Within the framework of kinematic theory of autowaves we suggest a method for analytic description of stationary autowave structures appearing at the boundary between the moving and fixed excitable media. The front breakdown phenomenon is predicted for such structures. Autowave refraction and, parti...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
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Institute for Condensed Matter Physics
2004-01-01
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Series: | Condensed Matter Physics |
Subjects: | |
Online Access: | http://dx.doi.org/10.5488/CMP.7.3.565 |
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author | V.A.Davydov N.V.Davydov V.G.Morozov M.N.Stolyarov T.Yamaguchi |
author_facet | V.A.Davydov N.V.Davydov V.G.Morozov M.N.Stolyarov T.Yamaguchi |
author_sort | V.A.Davydov |
collection | DOAJ |
description | Within the framework of kinematic theory of autowaves we suggest a method for analytic description of stationary autowave structures appearing at the boundary between the moving and fixed excitable media. The front breakdown phenomenon is predicted for such structures. Autowave refraction and, particulary, one-side "total reflection" at the boundary is considered. The obtained analytical results are confirmed by computer simulations. Prospects of the proposed method for further studies of autowave dynamics in the moving excitable media are discussed. |
first_indexed | 2024-12-14T07:59:56Z |
format | Article |
id | doaj.art-03afc522da8c49beb2dba998eb6ddfd1 |
institution | Directory Open Access Journal |
issn | 1607-324X |
language | English |
last_indexed | 2024-12-14T07:59:56Z |
publishDate | 2004-01-01 |
publisher | Institute for Condensed Matter Physics |
record_format | Article |
series | Condensed Matter Physics |
spelling | doaj.art-03afc522da8c49beb2dba998eb6ddfd12022-12-21T23:10:27ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2004-01-017356557810.5488/CMP.7.3.565Autowaves in moving excitable mediaV.A.DavydovN.V.DavydovV.G.MorozovM.N.StolyarovT.YamaguchiWithin the framework of kinematic theory of autowaves we suggest a method for analytic description of stationary autowave structures appearing at the boundary between the moving and fixed excitable media. The front breakdown phenomenon is predicted for such structures. Autowave refraction and, particulary, one-side "total reflection" at the boundary is considered. The obtained analytical results are confirmed by computer simulations. Prospects of the proposed method for further studies of autowave dynamics in the moving excitable media are discussed.http://dx.doi.org/10.5488/CMP.7.3.565nonlinear dynamics and nonlinear dynamical systemsreaction-diffusion mediaautowave refraction |
spellingShingle | V.A.Davydov N.V.Davydov V.G.Morozov M.N.Stolyarov T.Yamaguchi Autowaves in moving excitable media Condensed Matter Physics nonlinear dynamics and nonlinear dynamical systems reaction-diffusion media autowave refraction |
title | Autowaves in moving excitable media |
title_full | Autowaves in moving excitable media |
title_fullStr | Autowaves in moving excitable media |
title_full_unstemmed | Autowaves in moving excitable media |
title_short | Autowaves in moving excitable media |
title_sort | autowaves in moving excitable media |
topic | nonlinear dynamics and nonlinear dynamical systems reaction-diffusion media autowave refraction |
url | http://dx.doi.org/10.5488/CMP.7.3.565 |
work_keys_str_mv | AT vadavydov autowavesinmovingexcitablemedia AT nvdavydov autowavesinmovingexcitablemedia AT vgmorozov autowavesinmovingexcitablemedia AT mnstolyarov autowavesinmovingexcitablemedia AT tyamaguchi autowavesinmovingexcitablemedia |