Results 41 to 50 of about 116,050 (251)
Effect of randomness and anisotropy on Turing patterns in reaction-diffusion systems [PDF]
, 1997 We study the effect of randomness and anisotropy on Turing patterns in reaction-diffusion systems. For this purpose, the Gierer-Meinhardt model of pattern formation is considered. The cases we study are: (i)randomness in the underlying lattice structure,
A. Gierer +15 more
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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
Information Thermodynamics of Turing Patterns [PDF]
Physical Review Letters, 2018 5 pages, 3 ...
Falasco G., Rao R., Esposito M.
openaire +5 more sources
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 +5 more
core +3 more sources
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
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Colour Patterns: Channelling Turing [PDF]
Current Biology, 2012 Very little is known about how animal colour patterns develop. The stripes of the zebrafish provide a tractable a model for colour pattern formation, which now suggests an unconventional patterning mechanism.
openaire +2 more sources
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
Pattern formation in quantum Turing machines [PDF]
, 1999 We investigate the iteration of a sequence of local and pair unitary transformations, which can be interpreted to result from a Turing-head (pseudo-spin $S$) rotating along a closed Turing-tape ($M$ additional pseudo-spins).
A. Ekert +17 more
core +2 more sources
Boundary Value Problems, 2017 Spatiotemporal patterns driven by cross-diffusion of a uni-directional consumer-resource (C-R) system with Holling-II type functional response are investigated in this paper.
Renji Han, Binxiang Dai
doaj +1 more source
Pattern formation for reactive species undergoing anisotropic diffusion [PDF]
, 2015 Turing instabilities for a two species reaction-diffusion systems is studied under anisotropic diffusion. More specifically, the diffusion constants which characterize the ability of the species to relocate in space are direction sensitive.
Asllani, Malbor +4 more
core +3 more sources