Correlation effects in a reaction-diffusion system with nonlinear damping |
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| Authors: | V. V. Krasil’nikov S. E. Savotchenko |
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| Affiliation: | 1. Belgorod State University, ul. Pobedy 85, Belgorod, 308015, Russia
2. Belgorod Regional Institute of Postgraduate Education and Professional Retraining of Specialists, Studencheskaya ul. 14, Belgorod, 308007, Russia
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| Abstract: | The Schlögl model of a chemical reaction is generalized to take into account the correlation effects arising from the finiteness of the correlation time. This generalization is based on a generalization of Fisher’s equation with a memory function and cubic nonlinearity. Oscillatory states are demonstrated to be possible in such a system. The dissipative structure existence conditions are specified. |
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