The resonance phenomenon in the reaction–diffusion systems
A new mechanism of pattern formation different from the Turing and oscillatory instabilities in the reaction–diffusion systems was found. It is closely connected with the resonance phenomenon that appears in the models when Jacobi's matrix of the kinetic part is equivalent to Jordan cell and di...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1026022601000292 |
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| _version_ | 1832568217161170944 |
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| author | A. I. Lebanov A. P. Chernyaev T. K. Starozhilova |
| author_facet | A. I. Lebanov A. P. Chernyaev T. K. Starozhilova |
| author_sort | A. I. Lebanov |
| collection | DOAJ |
| description | A new mechanism of pattern formation different from the Turing and oscillatory instabilities in the reaction–diffusion systems was found. It is closely connected with the resonance phenomenon that appears in the models when Jacobi's matrix of the kinetic part is equivalent to Jordan cell and diffusion coefficients are cited. Some results of numerical calculations of the blood coagulation model are discussed. The pattern formation regimes that can be treated as the results from the resonance phenomenon were observed. |
| format | Article |
| id | doaj-art-6a76de607a464b54843b16d1c8a8bec8 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-6a76de607a464b54843b16d1c8a8bec82025-02-03T00:59:31ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2001-01-016423124610.1155/S1026022601000292The resonance phenomenon in the reaction–diffusion systemsA. I. Lebanov0A. P. Chernyaev1T. K. Starozhilova2Moscow Institute of Physics and Technology, Institutskii per., 9, Dolgoprudniy, Moscow region, 141700, RussiaMoscow Institute of Physics and Technology, Institutskii per., 9, Dolgoprudniy, Moscow region, 141700, RussiaMoscow Institute of Physics and Technology, Institutskii per., 9, Dolgoprudniy, Moscow region, 141700, RussiaA new mechanism of pattern formation different from the Turing and oscillatory instabilities in the reaction–diffusion systems was found. It is closely connected with the resonance phenomenon that appears in the models when Jacobi's matrix of the kinetic part is equivalent to Jordan cell and diffusion coefficients are cited. Some results of numerical calculations of the blood coagulation model are discussed. The pattern formation regimes that can be treated as the results from the resonance phenomenon were observed.http://dx.doi.org/10.1155/S1026022601000292Reaction–diffusion; Axially symmetrical; Qualitative analysis; Chemical turbulence. |
| spellingShingle | A. I. Lebanov A. P. Chernyaev T. K. Starozhilova The resonance phenomenon in the reaction–diffusion systems Discrete Dynamics in Nature and Society Reaction–diffusion; Axially symmetrical; Qualitative analysis; Chemical turbulence. |
| title | The resonance phenomenon in the reaction–diffusion systems |
| title_full | The resonance phenomenon in the reaction–diffusion systems |
| title_fullStr | The resonance phenomenon in the reaction–diffusion systems |
| title_full_unstemmed | The resonance phenomenon in the reaction–diffusion systems |
| title_short | The resonance phenomenon in the reaction–diffusion systems |
| title_sort | resonance phenomenon in the reaction diffusion systems |
| topic | Reaction–diffusion; Axially symmetrical; Qualitative analysis; Chemical turbulence. |
| url | http://dx.doi.org/10.1155/S1026022601000292 |
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