Results 41 to 50 of about 2,816,546 (254)

The Effects of the Susceptible and Infected Cross-Diffusion Terms on Pattern Formations in an SI Model

open access: yesMathematics, 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 nonlinear optics [PDF]

open access: yesOptics 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

Pattern Formation in a Semi-Ratio-Dependent Predator-Prey System with Diffusion

open access: yesDiscrete 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

Cross-diffusion-driven Turing instability and weakly nonlinear analysis of Turing patterns in a uni-directional consumer-resource system

open access: yesBoundary 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

The Turing Way Book Dash: Onboarding Call

open access: yes, 2023
<p><i>The Turing Way</i> <a href="https://the-turing-way.netlify.app/community-handbook/bookdash">Book Dash events</a> are a less intense version of <a href="https://en.wikipedia.org/wiki/Book_sprint">Book Sprints< ...
The Turing Way
core   +1 more source

Turing instability and pattern formation of a fractional Hopfield reaction–diffusion neural network with transmission delay

open access: yesNonlinear Analysis, 2022
It is well known that integer-order neural networks with diffusion have rich spatial and temporal dynamical behaviors, including Turing pattern and Hopf bifurcation.
Jiazhe Lin, Jiapeng Li, Rui Xu
doaj   +1 more source

Video2_Transient Turing patterns in a morphogenetic model.MP4

open access: yes, 2022
One of the most surprising mechanisms to explain the symmetry breaking phenomenon linked to pattern formation is known as Turing instabilities. These patterns are self-organising spatial structures resulting from the interaction of at least two diffusive
Luis Diambra (200563)   +1 more
core   +1 more source

alan-turing-institute/netts: 0.3.0

open access: yes, 2023
What's Changed Added analyze function by @carobellum Updated analyze.py by @carobellum Bugfix installation by @rkdan in https://github.com/alan-turing-institute/netts/pull/161 Removed redundant warning, update version number by @rkdan in https://github ...
Ryan Daniels   +5 more
core   +1 more source

Stochastic Turing patterns in the Brusselator model [PDF]

open access: yesPhysical Review E, 2010
modified version submitted to Phys Rev. E. 5.
T. Biancalani   +2 more
openaire   +5 more sources

Video1_Transient Turing patterns in a morphogenetic model.MP4

open access: yes, 2022
One of the most surprising mechanisms to explain the symmetry breaking phenomenon linked to pattern formation is known as Turing instabilities. These patterns are self-organising spatial structures resulting from the interaction of at least two diffusive
Luis Diambra (200563)   +1 more
core   +1 more source

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