Results 171 to 180 of about 32,500 (209)
Some of the next articles are maybe not open access.
Turing instability in a general system
Nonlinear Analysis: Theory, Methods & Applications, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hoang, T, Hwang, HJ
openaire +4 more sources
Switching-induced Turing instability
Physical Review E, 2002We 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
Turing Instabilities at Hopf Bifurcation
Journal of Nonlinear Science, 2009A 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
Necessary condition of the Turing instability
Physical Review E, 1993A 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 FOR THE SCHNACKENBERG SYSTEM
Waves and Stability in Continuous Media, 2008The linear stability-instability of the equilibrium state of the Schnackemberg system is studied. The onset of Turing instability is obtained.
GENTILE, MAURIZIO, TATARANNI, ASSUNTA
openaire +2 more sources
Turing Instability of Liquid–Solid Metal Systems
Advanced Materials, 2023AbstractThe classical Turing morphogenesis often occurs in nonmetallic solution systems due to the sole competition of reaction and diffusion processes. Here, this work conceives that gallium (Ga) based liquid metals (LMs) possess the ability to alloy, diffuse, and react with a range of solid metals (SMs) and thus should display Turing instability ...
Zerong Xing +12 more
openaire +2 more sources
Turing instability in reaction-subdiffusion systems
Physical Review E, 2008We determine the conditions for the occurrence of Turing instabilities in activator-inhibitor systems, where one component undergoes subdiffusion and the other normal diffusion. If the subdiffusing species has a nonlinear death rate, then coupling between the nonlinear kinetics and the memory effects of the non-Markovian transport process advances the ...
A, Yadav +2 more
openaire +2 more sources
Interspecific Influence on Mobility and Turing Instability
Bulletin of Mathematical Biology, 2003In 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
Turing instability in the reaction-diffusion network
Physical Review E, 2020It 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