Results 31 to 40 of about 32,448 (189)

Labyrinthine Turing Pattern Formation in the Cerebral Cortex [PDF]

, 2002
I propose that the labyrinthine patterns of the cortices of mammalian brains may be formed by a Turing instability of interacting axonal guidance species acting together with the mechanical strain imposed by the interconnecting axons.Comment: See home ...
BAIER, BARD, CARTWRIGHT, CASTETS, DICKSTEIN, DOBYNS, ERNST, FITZHUGH, FITZHUGH, GOLDSTEIN, GOODHILL, GOODWIN, GRIFFIN, HENTSCHEL, JUDD, JULYAN H.E. CARTWRIGHT, KAUFFMAN, KOCH, KONDO, MEINHARDT, MURATOV, MURRAY, MURRAY, NAGUMO, ODELL, OSTER, OUYANG, RAGHAVAN, RAKIC, RAMÓN Y CAJAL, RICHMAN, SCANNELL, SEUL, TESSIER-LAVIGNE, TODD, TURING, VAN DER POL, VAN ESSEN, WATZL, WITELSON, ZHENG, ZILLES   +41 more
core   +3 more sources

Backward Parabolicity, Cross-Diffusion and Turing Instability [PDF]

Journal of Nonlinear Science, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moussa, Ayman, Perthame, Benoît, Salort, Delphine   +2 more
openaire   +1 more source

Turing instability in oscillator chains with nonlocal coupling [PDF]

Physical Review E, 2011
We investigate analytically and numerically the conditions for the Turing instability to occur in a one-dimensional chain of nonlinear oscillators coupled non-locally in such a way that the coupling strength decreases with the spatial distance as a power-law.
Viana, R. L., Silva, F. A. dos S., Lopes, S. R.   +2 more
openaire   +3 more sources

Bifurcation, Chaos, and Pattern Formation for the Discrete Predator-Prey Reaction-Diffusion Model

Discrete Dynamics in Nature and Society, 2019
In this paper, a discrete predator-prey system with the periodic boundary conditions will be considered. First, we get the conditions for producing Turing instability of the discrete predator-prey system according to the linear stability analysis.
Lili Meng, Yutao Han, Zhiyi Lu, Guang Zhang   +3 more
doaj   +1 more source

Emergence of Geometric Turing Patterns in Complex Networks

Physical Review X, 2023
Turing patterns, arising from the interplay between competing species of diffusive particles, have long been an important concept for describing nonequilibrium self-organization in nature and have been extensively investigated in many chemical and ...
Jasper van der Kolk, Guillermo García-Pérez, Nikos E. Kouvaris, M. Ángeles Serrano, Marián Boguñá   +4 more
doaj   +1 more source

Diffusion instability in a threevariable reaction-diffusion model [PDF]

Компьютерные исследования и моделирование, 2011
Investigation of occurrence of diffusion instability in a set of three reaction-diffusion equations is carried out. In the general case the condition for both Turing and wave instabilities are obtained.
Maria Yur'evna Borina, A. A. Polezhaev
doaj   +1 more source

The “Destabilizing” Effect of Cannibalism in a Spatially Explicit Three-Species Age Structured Predator-Prey Model

Complexity, 2017
Cannibalism, the act of killing and consumption of conspecifics, is generally considered to be a stabilising process in ODE models of predator-prey systems. On the other hand, Sun et al.
Aladeen Al Basheer, Jingjing Lyu, Adom Giffin, Rana D. Parshad   +3 more
doaj   +1 more source

Density-dependent effects on Turing patterns and steady state bifurcation in a Beddington–DeAngelis-type predator–prey model

Boundary Value Problems, 2019
In this paper, Turing patterns and steady state bifurcation of a diffusive Beddington–DeAngelis-type predator–prey model with density-dependent death rate for the predator are considered.
Hongwu Xu, Shengmao Fu
doaj   +1 more source

Competing Turing and Faraday instabilities in longitudinally modulated passive resonators [PDF]

, 2016
We experimentally investigate the interplay of Turing and Faraday (modulational) instabilities in a bistable passive nonlinear resonator. The Faraday branch is induced via parametric resonance owing to a periodic modulation of the resonator dispersion ...
Conforti, Matteo, Copie, Francois, Kudlinski, Alexandre, Mussot, Arnaud, Trillo, Stefano   +4 more
core   +3 more sources

Pattern Formation Mechanisms of Spatiotemporally Discrete Activator–Inhibitor Model with Self- and Cross-Diffusions

Fractal and Fractional
In this paper, we aim to solve the issue of pattern formation mechanisms in a spatiotemporally discrete activator–inhibitor model that incorporates self- and cross-diffusions.
You Li, Ying Sun, Jingyu Luo, Jiayi Pang, Bingjie Liu   +4 more
doaj   +1 more source