Active Media with Long-Range Inhibition
In this chapter we consider stationary patterns that are formed in a special class of two-component media, where one of the components can be treated as an activator and the other as an inhibitor. Generally, an isolated element of such a medium can be either bistable, or excitable, or oscillatory. This distinction becomes, however, of minor importance if inhibition is long-range (for instance, when the diffusion constant of an inhibitor component is very large) and if it quickly adjusts to the momentary distribution of an activator. These conditions favor the formation of stable stationary dissipative patterns.
KeywordsCombustion Dine Active Element
Unable to display preview. Download preview PDF.
- 5.1V.V. Barelko, V.M. Beibutyan, Yu.V. Volodin, Ya.B. Zeldovich: Dokl. Akad. Nauk SSSR 257, 339–344 (1981)Google Scholar
- 5.4I. Prigogine, R. Lefever: J. Chem. Phys. 49, 283–292 (1968)Google Scholar
- 5.6V.A. Vasilev, Yu.M. Romanovskii, D.S. Chernavskii, V.G. Yakhno: Autowave Processes in Kinetic Systems (Reidel, Dordrecht 1986)Google Scholar
- 5.11B.S. Kerner, V.V. Osipov: “Autosolitons in active systems with diffusion” in Self-Organization by Nonlinear Irreversible Processes ed. by W. Ebeling and H. Ulbricht (Springer, Berlin, Heidelberg 1986) pp. 118-127Google Scholar
- 5.12B.S. Kerner, V.I. Krinsky, V.V. Osipov: “Structures in models of morphogenesis” in Thermodynamics and Pattern Formation in Biology (de Gruyter, Berlin 1988) pp. 265-320Google Scholar
- 5.13B.S. Kerner, V.V. Osipov: Zh. Eksp. Teor. Fiz. 83, 2201–2214 (1982)Google Scholar