Results 41 to 50 of about 115,920 (230)

Turing pattern formation in the Brusselator system with nonlinear diffusion [PDF]

open access: yes, 2013
In this work we investigate the effect of density dependent nonlinear diffusion on pattern formation in the Brusselator system. Through linear stability analysis of the basic solution we determine the Turing and the oscillatory instability boundaries.
Gambino, G.   +3 more
core   +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

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

Pattern formation for reactive species undergoing anisotropic diffusion [PDF]

open access: yes, 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

Colour Patterns: Channelling Turing [PDF]

open access: yesCurrent 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

Features requirement elicitation process for designing a chatbot application

open access: yesIET Networks, EarlyView., 2022
This article seeks to assist the chatbot community by outlining the characteristics that a chatbot needs to possess and explaining how to create a chatbot for a bank. In order to determine which capabilities are most crucial to ending users, a study of a small sample of chatbot users was conducted.
Nurul Muizzah Johari   +4 more
wiley   +1 more source

Models in Search of Targets: Exploratory Modelling and the Case of Turing Patterns [PDF]

open access: yes, 2018
Traditional frameworks for evaluating scientific models have tended to downplay their exploratory function; instead they emphasize how models are inherently intended for specific phenomena and are to be judged by their ability to predict, reproduce, or ...
Gelfert, Axel
core   +1 more source

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

Turing Instability in a Boundary-fed System [PDF]

open access: yes, 1998
The formation of localized structures in the chlorine dioxide-idodine-malonic acid (CDIMA) reaction-diffusion system is investigated numerically using a realistic model of this system.
A. M. Turing   +29 more
core   +3 more sources

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

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