Results 171 to 180 of about 2,929 (211)

Turing instability in a general system

Nonlinear Analysis: Theory, Methods & Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hyung Ju Hwang
exaly   +4 more sources

Potential Turing instability and application to plant–insect models

Mathematical and Computer Modelling, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fabio Della Rossa, Sérgio Rinaldi
exaly   +8 more sources

Turing Instability in Competition Models with Delay I: Linear Theory

SIAM Journal on Applied Mathematics, 1994
Turing instability in two-component predator-prey and reaction-diffusion models including diffusion and Volterra-type distributed delays in the interspecies interaction terms is considered.
S Roy Choudhury
exaly   +3 more sources

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Turing Instabilities at Hopf Bifurcation

Journal of Nonlinear Science, 2009
A simple procedure for deriving a uniform asymptotic expansion for the limit cycle in the vicinity of the Hopf bifurcation point for a two dimensional reaction system \[ u_{t} =D_{u}\Delta u+f\left( u,v;a\right) , \] \[ v_{t} =D_{v}\Delta v+g\left( u,v;a\right) \tag{b} \] is suggested. First, an algorithm allowing reduction of the system (ref {b}) to a
Ricard, M.R., Mischler, Stéphane
openaire   +3 more sources

Switching-induced Turing instability

Physical Review E, 2002
We propose a mechanism for inducing a Turing instability in systems whose only stable state is pattern-free and homogeneous. Global alternation between two dynamics, each of which has the same homogeneous stable state, may induce a Turing instability that leads to pattern formation. We determine what kind of alternation can drive the system to a Turing
J, Buceta, Katja, Lindenberg
openaire   +2 more sources

Factors promoting or inhibiting Turing instability in spatially extended prey–predator systems

Ecological Modelling, 2011
The emergence of inhomogeneities in the distributions of the abundances of spatially extended prey-predator systems is investigated. The method of analysis, based on the notion of diffusive (Turing) instability, is systematically applied to nine ...
Sérgio Rinaldi
exaly   +2 more sources

Necessary condition of the Turing instability

Physical Review E, 1993
A reaction-diffusion system in any number of spatial variables consisting of an arbitrary number of chemical species cannot exhibit Turing instability if none of the reaction steps expresses cross inhibition. A corollary of this result underlines the importance of nonlinearity in the formation of stationary spatial structures, a kind of self ...
, Szili, , Tóth
openaire   +2 more sources

Turing instability in the reaction-diffusion network

Physical Review E, 2020
It is an established fact that a positive wave number plays an essential role in Turing instability. However, the impact of a negative wave number on Turing instability remains unclear. Here, we investigate the effect of the weights and nodes on Turing instability in the FitzHugh-Nagumo model, and theoretical results reveal genesis of Turing ...
Qianqian Zheng, Jianwei Shen, Yong Xu
openaire   +2 more sources

TURING INSTABILITY FOR THE SCHNACKENBERG SYSTEM

Waves and Stability in Continuous Media, 2008
The linear stability-instability of the equilibrium state of the Schnackemberg system is studied. The onset of Turing instability is obtained.
GENTILE, MAURIZIO, TATARANNI, ASSUNTA
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Interspecific Influence on Mobility and Turing Instability

Bulletin of Mathematical Biology, 2003
In this paper we formulate a multi-patch multi-species model in which the per-capita emigration rate of one species depends on the density of some other species. We then focus on Turing instability to examine if and when this cross-emigration response has crucial effects. We find that the type of interaction matters greatly.
Huang, Y., Diekmann, O.
openaire   +3 more sources