Pattern selection processes and noise induced pattern-forming transitions in periodic systems with transient dynamics
نویسندگان
چکیده
منابع مشابه
Noise and Dynamical Pattern Selection.
In pattern forming systems such as Rayleigh-Bénard convection or directional solidification, a large number of linearly stable, patterned steady states exist when the basic, simple steady state is unstable. Which of these steady states will be realized in a given experiment appears to depend on unobservable details of the system’s initial conditions. We show, however, that weak, Gaussian white ...
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Mean flow effects are discussed for two different pattern-forming systems: RayleighBénard convection and Faraday instability in viscous fluid. In both systems spirals are observed in certain parameter regions. In the Rayleigh-Bénard convection, the spiral core instability and subsequent generation of upand downflow hexagons are shown to occur due to the mean flow generated by the curved rolls n...
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Meanow e ects are discussed for two di erent pattern-forming systems: Rayleigh–B enard convection and Faraday instability in viscous uid. In both systems spirals are observed in certain parameter regions. In the Rayleigh–B enard convection, the spiral-core instability is shown to occur due to the mean ow generated by the curved rolls near the core. In the Faraday instability, the mean ow which ...
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The dynamics of patterns in large two-dimensional domains remains a challenge in nonequilibrium phenomena. Often it is addressed through mild extensions of one-dimensional equations. We show that full two-dimensional generalizations of the latter can lead to unexpected dynamic behavior. As an example we consider the anisotropic Kuramoto-Sivashinsky equation, which is a generic model of anisotro...
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This paper presents a quick review of reaction-diffusion systems that self-organize spatio-temporal patterns in chemical and biological systems. A pair of reaction-diffusion equations having activator and inhibitor variables is a typical model of equations describing their pattern formation processes. Some of the reaction-diffusion systems can realize several functions of image processing such ...
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ژورنال
عنوان ژورنال: Open Physics
سال: 2011
ISSN: 2391-5471
DOI: 10.2478/s11534-010-0076-y