Spiral waves in a surface reaction: Model calculations
نویسندگان
چکیده
منابع مشابه
Inwardly rotating spiral waves in a reaction-diffusion system.
Almost 30 years have passed since the discovery of concentric (target) and spiral waves in the spatially extended Belousov-Zhabotinsky (BZ) reaction. Since then, rotating spirals and target waves have been observed in a variety of physical, chemical, and biological reaction-diffusion systems. All of these waves propagate out from the spiral center or pacemaker. We report observations of inwardl...
متن کاملSegmented spiral waves in a reaction- diffusion system
Pattern formation in reaction-diffusion systems is often invoked as a mechanism for biological morphogenesis. Patterns in chemical systems typically occur either as propagating waves or as stationary, spatially periodic, Turing structures. The spiral and concentric (target) waves found to date in spatially extended chemical or physical systems are smooth and continuous; only living systems, suc...
متن کاملTheory of spike spiral waves in a reaction-diffusion system.
We discovered a type of spiral wave solutions in reaction-diffusion systems--spike spiral wave, which significantly differs from the spiral waves observed in the models of FitzHugh-Nagumo type. We present an asymptotic theory of these waves in the Gray-Scott model [Chem. Sci. Eng. 38, 29 (1983)]. We derive the kinematic relations describing the shape of this spiral, and find the dependence of i...
متن کاملBifurcation to spiral waves in reaction-di usion systems
For a large class of reaction-diiusion systems on the plane, we show rigorously that typically m-armed spiral waves bifurcate from a homogeneous equilibrium when the latter undergoes a Hopf bifurcation. In particular, we construct a nite-dimensional manifold which contains the set of small rotating waves close to the homogeneous equilibrium. Examining the ow on this center-manifold in a very ge...
متن کاملBifurcation to Spiral Waves in Reaction-diffusion Systems
For a large class of reaction-diiusion systems on the plane, we show rigorously that m-armed spiral waves bifurcate from a homogeneous equilibrium when the latter undergoes a Hopf bifurcation. In particular, we construct a nite-dimensional manifold which contains the set of small rotating waves close to the homogeneous equilibrium. Examining the ow on this center-manifold in a very general exam...
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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 1994
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.466650