Turing-Hopf instabilities through a combination of diffusion, advection, and finite size effects.
نویسندگان
چکیده
We show that in a reaction diffusion system on a two-dimensional substrate with advection in the confined direction, the drift (advection) induced instability occurs through a Hopf bifurcation, which can become a double Hopf bifurcation. The box size in the direction of the drift is a vital parameter. Our analysis involves reduction to a low dimensional dynamical system and constructing amplitude equations.
منابع مشابه
Turing instabilities and patterns near a Hopf bifurcation
Rui Dilão Grupo de Dinâmica Não-Linear, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal. and Institut des Hautes Études Scientifiques, 35, route de Chartres, 91440, Bures-sur-Yvette, France. [email protected] Phone: +(351) 218417617; Fax: +(351) 218419123 Abstract We derive a necessary and sufficient condition for Turing instabilities to occur in twocomponent systems of ...
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ورودعنوان ژورنال:
- The Journal of chemical physics
دوره 140 2 شماره
صفحات -
تاریخ انتشار 2014