Sufficient conditions for wave instability in three-component reaction-diffusion systems

Autor:	Hata, Shigefumi, Nakao, Hiroya, Mikhailov, Alexander S.
Rok vydání:	2013
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons
Druh dokumentu:	Working Paper
DOI:	10.1093/ptep/ptt102
Popis:	Sufficient conditions for the wave instability in general three-component reaction-diffusion systems are derived. These conditions are expressed in terms of the Jacobian matrix of the uniform steady state of the system, and enable us to determine whether the wave instability can be observed as the mobility of one of the species is gradually increased. It is found that the instability can also occur if one of the three species does not diffuse. Our results provide a useful criterion for searching wave instabilities in reaction-diffusion systems of various origins. Comment: 8 pages, 4 figures; typos corrected, acknowledges added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1302.0683 Zobrazit plný text záznamu View this record from Arxiv