Traveling avalanche waves in reaction-diffusion lattices
We study traveling avalanche waves in one spatially discrete nonlinear reaction-diffusion lattices. Definition of avalanche waves are given and their existence is proved for the case of a cubic-like piece-wise linear interaction. Analytical expressions of velocities of the avalanche waves and profil...
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| Datum: | 2016 |
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| Ключові слова: | keywords |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
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Інститут математики НАН України
2016
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| Online Zugang: | https://trim.imath.kiev.ua/index.php/trim/article/view/261 |
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| Назва журналу: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Transactions of Institute of Mathematics of NAS of Ukraine| Zusammenfassung: | We study traveling avalanche waves in one spatially discrete nonlinear reaction-diffusion lattices. Definition of avalanche waves are given and their existence is proved for the case of a cubic-like piece-wise linear interaction. Analytical expressions of velocities of the avalanche waves and profiles of these waves are obtained. |
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