Results 41 to 50 of about 7,470 (228)

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

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

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

Turing Patterns in Deserts [PDF]

open access: yes, 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   +1 more source

Pattern Formation Mechanisms of Spatiotemporally Discrete Activator–Inhibitor Model with Self- and Cross-Diffusions

open access: yesFractal and Fractional
In this paper, we aim to solve the issue of pattern formation mechanisms in a spatiotemporally discrete activator–inhibitor model that incorporates self- and cross-diffusions.
You Li   +4 more
doaj   +1 more source

Exploring Spatiotemporal Complexity of a Predator-Prey System with Migration and Diffusion by a Three-Chain Coupled Map Lattice

open access: yesComplexity, 2019
The topic of utilizing coupled map lattice to investigate complex spatiotemporal dynamics has attracted a lot of interest. For exploring the spatiotemporal complexity of a predator-prey system with migration and diffusion, a new three-chain coupled map ...
Tousheng Huang   +5 more
doaj   +1 more source

Turing Patterns and Biological Explanation [PDF]

open access: yesDisputatio, 2017
AbstractTuring patterns are a class of minimal mathematical models that have been used to discover and conceptualize certain abstract features of early biological development. This paper examines a range of these minimal models in order to articulate and elaborate a philosophical analysis of their epistemic uses.
openaire   +3 more sources

Turing Patterns in a Predator-Prey System with Self-Diffusion

open access: yesAbstract and Applied Analysis, 2013
For a predator-prey system, cross-diffusion has been confirmed to emerge Turing patterns. However, in the real world, the tendency for prey and predators moving along the direction of lower density of their own species, called self-diffusion, should be ...
Hongwei Yin, Xiaoyong Xiao, Xiaoqing Wen
doaj   +1 more source

Turing patterns with pentagonal symmetry

open access: yesPhysical Review E, 2002
We explore numerically the formation of Turing patterns in a confined circular domain with small aspect ratio. Our results show that stable fivefold patterns are formed over a well defined range of disk sizes, offering a possible mechanism for inducing the fivefold symmetry observed in early development of regular echinoids.
Aragón, J   +4 more
openaire   +2 more sources

Turing–Hopf bifurcation and spatiotemporal patterns in a Gierer–Meinhardt system with gene expression delay

open access: yesNonlinear Analysis, 2021
In this paper, we consider the dynamics of delayed Gierer–Meinhardt system, which is used as a classic example to explain the mechanism of pattern formation. The conditions for the occurrence of Turing, Hopf and Turing–Hopf bifurcation are established by
Shuangrui Zhao   +2 more
doaj   +1 more source

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