Results 51 to 60 of about 116,050 (251)

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

Nonlinear 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

Features requirement elicitation process for designing a chatbot application

IET 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, Puteri N. E. Nohuddin, Ahmad Hanif Ahmad Baharin, Noor Azuddin Yakob, Mohammad Javad Ebadi   +4 more
wiley   +1 more source

Turing Instability in a Boundary-fed System [PDF]

, 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, B. T. Smith, E. Dulos, G. Dewel, G. Dewel, G. Dewel, I. Lengyel, I. Lengyel, I. Lengyel, I. Lengyel, I. Lengyel, I. Lengyel, J. D. Murray, J. E. Pearson, J. F. Auchmuty, J. J. Perraud, L. Kramer, M. C. Cross, M. C. Cross, O. Jensen, O. Jensen, P. De Kepper, Q. Ouyang, Q. Ouyang, Q. Ouyang, S. Kadar, S. Setayeshgar, V. Castets, V. Dufiet, W. H. Press   +29 more
core   +3 more sources

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

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

Fractal 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, Ying Sun, Jingyu Luo, Jiayi Pang, Bingjie Liu   +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

Complexity, 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, Huayong Zhang, Xuebing Cong, Ge Pan, Xiumin Zhang, Zhao Liu   +5 more
doaj   +1 more source

Spatiotemporal pattern formation in a three-variable CO oxidation reaction model [PDF]

, 2018
The spatiotemporal pattern formation is studied in the catalytic carbon monoxide oxidation reaction that takes into account the diffusion processes over the Pt(110) surface, which may contain structurally different areas. These areas are formed during CO-
Bzovska, I. S., Mryglod, I. M.
core   +2 more sources

Hybrid Control Synthesis for Turing Instability and Hopf Bifurcation of Marine Planktonic Ecosystems With Diffusion

IEEE Access, 2021
Great progress has been made in bifurcation control of systems described by ordinary differential equations. However, the control of Hopf bifurcation and Turing patterns is seldom reported in reaction-diffusion systems, which is formed by partial ...
Yunxiang Lu, Min Xiao, Jinling Liang, Jie Ding, Ying Zhou, Youhong Wan, Chunxia Fan   +6 more
doaj   +1 more source

Competition of spatial and temporal instabilities under time delay near codimension-two Turing-Hopf bifurcations

, 2011
Competition of spatial and temporal instabilities under time delay near the codimension-two Turing-Hopf bifurcations is studied in a reaction-diffusion equation.
Hui-Juan Wang, J.D. Murray, M.R. Ricard, X.J. Yuan, Zhi Ren   +4 more
core   +1 more source

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

Abstract 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