Discrete Dynamics in Nature and Society
Volume 6 (2001), Issue 4, Pages 231-246

The resonance phenomenon in the reaction–diffusion systems

A. I. Lebanov, A. P. Chernyaev, and T. K. Starozhilova

Moscow Institute of Physics and Technology, Institutskii per., 9, Dolgoprudniy, Moscow region, 141700, Russia

Copyright © 2001 A. I. Lebanov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.