Results 11 to 20 of about 32,448 (189)
From Turing instability to fractals [PDF]
Nonlinear Photonics, 2007 Complexity focuses on commonality across subject areas and forms a natural platform for multidisciplinary activities. Typical generic signatures of complexity include: (i) spontaneous occurrence of simple patterns (e.g.
D’Alessandro +6 more
core +3 more sources
Turing Instability in a Boundary-fed System [PDF]
Physical Review E, 1998 The formation of localized structures in the chlorine dioxide-idodine-malonic acid (CDIMA) reaction-diffusion system is investigated numerically using a realistic model of this system.
A. M. Turing +29 more
core +5 more sources
Concentric ring patterns beyond Turing instability
Physical Review Research, 2023 Various out-of-equilibrium physical systems exhibit concentric ring patterns. However, these patterns are expected to be unstable due to the interaction of spatial modes.
M. G. Clerc +3 more
doaj +2 more sources
Instability of Turing patterns in reaction-diffusion-ODE systems [PDF]
Journal of Mathematical Biology, 2016 The aim of this paper is to contribute to the understanding of the pattern formation phenomenon in reaction-diffusion equations coupled with ordinary differential equations.
Karch, Grzegorz +2 more
core +3 more sources
Are physiological oscillations physiological?
The Journal of Physiology, EarlyView., 2023 Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley +1 more source
Turing instabilities on Cartesian product networks [PDF]
Scientific Reports, 2015 AbstractThe problem of Turing instabilities for a reaction-diffusion system defined on a complex Cartesian product network is considered. To this end we operate in the linear regime and expand the time dependent perturbation on a basis formed by the tensor product of the eigenvectors of the discrete Laplacian operators, associated to each of the ...
ASLLANI, MALBOR +4 more
openaire +7 more sources
Pattern formation (II): The Turing Instability [PDF]
Proceedings of the American Mathematical Society, 2007 We consider the classical Turing instability in a reaction-diffusion system as the secend part of our study on pattern formation. We prove that nonlinear dynamics of a general perturbation of the Turing instability is determined by the finite number of linear growing modes over a time scale of ln 1 δ
Guo, Y, Hwang, HJ
openaire +3 more sources
Turing instability under centrifugal forces [PDF]
Soft Matter, 2013 Self-organized patterns are sensitive to microscopic external perturbations that modify the diffusion process. We find that Turing instability formed in a compartmented medium, a Belousov-Zhabotinski-aerosol-OT micelle reaction, responds sensitively to a change in the diffusion process. In order to modify the diffusion mechanism, we apply a centrifugal
Guiu-Souto, Jacobo +4 more
openaire +2 more sources
Modeling of plankton community state with density-dependent death and spatial activity of zooplankton [PDF]
Компьютерные исследования и моделирование, 2016 A vertically distributed three-component model of marine ecosystem is considered. State of the plankton community with nutrients is analyzed under the active movement of zooplankton in a vertical column of water.
Evgeniya Evgenievna Giricheva
doaj +1 more source
Pattern formation for reactive species undergoing anisotropic diffusion [PDF]
, 2015 Turing instabilities for a two species reaction-diffusion systems is studied under anisotropic diffusion. More specifically, the diffusion constants which characterize the ability of the species to relocate in space are direction sensitive.
Asllani, Malbor +4 more
core +3 more sources