Turing instability in reaction–diffusion models on complex networks
نویسندگان
چکیده
منابع مشابه
on some bayesian statistical models in actuarial science with emphasis on claim count
چکیده ندارد.
15 صفحه اولPotential Turing instability and application to plant-insect models
We show in this paper that the analysis of diffusion-induced instability in spatially extended models can be performed by separating local dynamics from diffusion. This is possible not only in the case studied by Turing, namely models with two interacting variables, but also in the general case of three or more variables. The advantage of this decomposition, based on the notion of potential Tur...
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A reaction–diffusion system consisting of one, two or three chemical species and taking place in an arbitrary number of spatial dimensions cannot exhibit Turing instability if none of the reaction steps express cross-inhibition. A corollary of this result – obtained by elementary calculations – underlines the importance of nonlinearity in the formation of stationary structures, a kind of self-o...
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A generic criterion for the generation of spontaneous fractal patterns is proposed, which has independence with respect to system nonlinearity. We also report the first transverse spatial optical fractals found in dispersive and absorptive ring cavities, and our analysis is fully confirmed by numerical simulations. © 2007 Optical Society of America OCIS codes: (190.4400) Nonlinear Optics, Mater...
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Recent advances in the neuromorphic operation of atomic switches as individual synapse-like devices demonstrate the ability to process information with both short-term and long-term memorization in a single two terminal junction. Here it is shown that atomic switches can be self-assembled within a highly interconnected network of silver nanowires similar in structure to Turing’s “B-Type unorgan...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2016
ISSN: 0378-4371
DOI: 10.1016/j.physa.2016.03.055