Results 31 to 40 of about 32,500 (209)

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

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

Spatio-temporal patterns of non-autonomous systems on hypergraphs: Turing and Benjamin–Feir mechanisms

New Journal of Physics, 2023
This paper examines the Turing patterns and the spatio-temporal chaos of non-autonomous systems defined on hypergraphs. The analytical conditions for Turing instability and Benjamin–Feir instability are obtained by linear stability analysis using new ...
Wen Wang, Shutang Liu
doaj   +1 more source

Spatio-temporal dynamics induced by competing instabilities in two asymmetrically coupled nonlinear evolution equations [PDF]

, 2014
Pattern formation often occurs in spatially extended physical, biological and chemical systems due to an instability of the homogeneous steady state.
A. Torcini, D. Schüler, Kapral R., M. Bär, Murray J. D., S. Alonso   +5 more
core   +3 more sources

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

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

Spatiotemporal dynamics and Turing patterns in an eco-epidemiological model with cannibalism

Results in Control and Optimization, 2022
In this work, we have studied the spatiotemporal dynamics and pattern formation in an eco-epidemiological model with cannibalism, which are not explored in the existing literature.
Vikas Kumar, Nitu Kumari, Ravi P. Agarwal   +2 more
doaj   +1 more source

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