Study of the Mechanism of the Autowave Structure Formation at the Reaction Front
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A qualitative mechanism of the formation of wave structures at the reaction front is proposed. It is assumed that the structures are formed as a result of the interaction of two subsystems, one of which is responsible for the front formation, and the other is responsible for the formation of structures themselves. Three models are considered; two-dimensional analogues of concentric and spiral waves are numerically demonstrated in each. Fitzhugh–Nagumo, Fisher–Kolmogorov–Petrovskii–Piscounov (Fisher–KPP), and Oregonator models were used as subsystems.
Keywordsautowaves instabilities at the reaction front mathematical modeling
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- 1.R. E. Liesegang, Naturwiss.Wochenschr. 11, 353 (1896).Google Scholar
- 2.A. G. Merzhanov, in Physical Chemistry. Current 10 Modern Problems. A Year-Book, Ed. by Akad. I.M. Kolotyrkin (Khimiya, Moscow, 1983), p. 6 [in Russian].Google Scholar
- 10.R. A. Fisher, Ann. Eugenics 7, 353 (1937).Google Scholar
- 11.A. N. Kolmogorov, I.G. Petrovskii, and N. S. Piskunov, Bull.MGU.Matematika i Mekhanika 1(6), 1 (1937).Google Scholar