Results 21 to 30 of about 6,879 (234)
Fluctuation-driven Turing patterns [PDF]
Physical Review E, 2011 Minor changes to ...
Butler, Thomas, Goldenfeld, Nigel
openaire +3 more sources
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
Information Thermodynamics of Turing Patterns [PDF]
Physical Review Letters, 2018 5 pages, 3 ...
Falasco G., Rao R., Esposito M.
openaire +5 more sources
A Concrete View of Rule 110 Computation [PDF]
Electronic Proceedings in Theoretical Computer Science, 2009 Rule 110 is a cellular automaton that performs repeated simultaneous updates of an infinite row of binary values. The values are updated in the following way: 0s are changed to 1s at all positions where the value to the right is a 1, while 1s are changed
Matthew Cook
doaj +1 more source
Turing patterns in nonlinear optics [PDF]
Optics Communications, 2000 The phenomenon of pattern formation in nonlinear optical resonators is commonly related to an off-resonance excitation mechanism, where patterns occur due to mismatch between the excitation and resonance frequency. In this paper we show that the patterns in nonlinear optics can also occur due to the interplay between diffractions of coupled field ...
Staliunas, Kestutis +1 more
openaire +2 more sources
Spatiotemporal dynamics for a diffusive mussel–algae model near a Hopf bifurcation point
Advances in Difference Equations, 2021 In this paper, the Hopf bifurcation and Turing instability for a mussel–algae model are investigated. Through analysis of the corresponding kinetic system, the existence and stability conditions of the equilibrium and the type of Hopf bifurcation are ...
Shihong Zhong, Xuehan Cheng, Biao Liu
doaj +1 more source
Mathematics, 2023 In this paper, we discuss the pattern dynamics of an SI epidemic model caused by spatial dependency, which is represented by self- and cross-diffusion terms.
Anita Triska +2 more
doaj +1 more source
Turing patterns in multiplex networks [PDF]
Physical Review E, 2014 The theory of patterns formation for a reaction-diffusion system defined on a multiplex is developed by means of a perturbative approach. The intra-layer diffusion constants act as small parameter in the expansion and the unperturbed state coincides with the limiting setting where the multiplex layers are decoupled.
ASLLANI, MALBOR +4 more
openaire +3 more sources
Bifurcation and Patterns Analysis for a Spatiotemporal Discrete Gierer-Meinhardt System
Mathematics, 2022 The Gierer-Meinhardt system is one of the prototypical pattern formation models. The bifurcation and pattern dynamics of a spatiotemporal discrete Gierer-Meinhardt system are investigated via the couple map lattice model (CML) method in this paper.
Biao Liu, Ranchao Wu
doaj +1 more source
Frontiers in Physics, 2022 Different diffusivities among interacting substances actualize the potential instability of a system. When these elicited instabilities manifest as forms of spatial periodicity, they are called Turing patterns.
Akiko M. Nakamasu
doaj +1 more source