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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 diffusi... Full description

Contributors: Lebanov, A. I.
Chernyaev, A. P.
Starozhilova, T. K.
Contained in: Discrete dynamics in nature and society : an international multidisciplinary research and review journal London [u.a.] : Taylor and Francis Vol. 6 (2001)
Journal Title: Discrete dynamics in nature and society : an international multidisciplinary research and review journal
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Links: Additional Link (dx.doi.org)
ISSN: 1607-887X
DOI: 10.1155/S1026022601000292
Regional Holdings: TIB – German National Library of Science and Technology
Physikalisch-Technische Bundesanstalt
Language: English
Notes: Copyright: (c) 2001 Hindawi Publishing Corporation.
Physical Description: Online-Ressource
ID (e.g. DOI, URN): 10.1155/S1026022601000292
98505051
PPN (Catalogue-ID): OLC1870615484
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520 |a 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. 
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700 1 |a Chernyaev, A. P. 
700 1 |a Starozhilova, T. K. 
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