Results 31 to 40 of about 1,908,978 (257)
Turing instabilities in general systems [PDF]
, 2000 We present necessary and sufficient conditions on the stability matrix of a general n(S2)-dimensional reaction-diffusion system which guarantee that its uniform steady state can undergo a Turing bifurcation.
Satnoianu, RA +5 more
core +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
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
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
Pattern Formation in a Semi-Ratio-Dependent Predator-Prey System with Diffusion
Discrete Dynamics in Nature and Society, 2013 We investigate spatiotemporal dynamics of a semi-ratio-dependent predator-prey system with reaction-diffusion and zero-flux boundary. We obtain the conditions for Hopf, Turing, and wave bifurcations of the system in a spatial domain by making use of the ...
Hunki Baek, Dong Ick Jung, Zhi-wen Wang
doaj +1 more source
Discrete Dynamics in Nature and Society, 2020 The Turing pattern model is one of the theories used to describe organism formation patterns. Using this model, self-organized patterns emerge due to differences in the concentrations of activators and inhibitors. Here a cellular automata (CA)-like model
Takeshi Ishida
doaj +1 more source
Turing Patterns in Deserts [PDF]
, 2012 Self-organised patterns of vegetation are a characteristic feature of many semi-arid regions. In particular, banded vegetation is typical on hillsides. Mathematical modelling is widely used to study these banded patterns, because there are no laboratory replicates.
openaire +2 more sources
Stochastic Turing patterns in the Brusselator model [PDF]
Physical Review E, 2010 modified version submitted to Phys Rev. E. 5.
T. Biancalani +2 more
openaire +5 more sources
Physical Review X, 2017 In nonlinear microresonators driven by continuous-wave (cw) lasers, Turing patterns have been studied in the formalism of the Lugiato-Lefever equation with emphasis on their high coherence and exceptional robustness against perturbations. Destabilization
Shu-Wei Huang +7 more
doaj +1 more source