Results 51 to 60 of about 115,920 (230)

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

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

Labyrinthine Turing Pattern Formation in the Cerebral Cortex [PDF]

, 2002
I propose that the labyrinthine patterns of the cortices of mammalian brains may be formed by a Turing instability of interacting axonal guidance species acting together with the mechanical strain imposed by the interconnecting axons.Comment: See home ...
BAIER, BARD, CARTWRIGHT, CASTETS, DICKSTEIN, DOBYNS, ERNST, FITZHUGH, FITZHUGH, GOLDSTEIN, GOODHILL, GOODWIN, GRIFFIN, HENTSCHEL, JUDD, JULYAN H.E. CARTWRIGHT, KAUFFMAN, KOCH, KONDO, MEINHARDT, MURATOV, MURRAY, MURRAY, NAGUMO, ODELL, OSTER, OUYANG, RAGHAVAN, RAKIC, RAMÓN Y CAJAL, RICHMAN, SCANNELL, SEUL, TESSIER-LAVIGNE, TODD, TURING, VAN DER POL, VAN ESSEN, WATZL, WITELSON, ZHENG, ZILLES   +41 more
core   +3 more sources

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

The instability of periodic solutions for a population model with cross-diffusion

AIMS Mathematics, 2023
This paper is concerned with a population model with prey refuge and a Holling type Ⅲ functional response in the presence of self-diffusion and cross-diffusion, and its Turing pattern formation problem of Hopf bifurcating periodic solutions was studied ...
Weiyu Li , Hongyan Wang
doaj   +1 more source

A new dimension to Turing patterns

, 2002
It is well known that simple reaction-diffusion systems can display very rich pattern formation behavior. Here we have studied two examples of such systems in three dimensions.
Barrio, Rafael A., Karttunen, Mikko, Kaski, Kimmo, Leppanen, Teemu, Zhang, Limei   +4 more
core   +3 more sources

Most stable patterns among three-dimensional Turing patterns [PDF]

Japan Journal of Industrial and Applied Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shoji, Hiroto, Yamada, Kohtaro
openaire   +3 more sources

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

Freeform Manufacturing of Plant‐Based Structural Colors for Scalable Photonic and Mechanochromic Devices

Advanced Materials, EarlyView.
A green, freeform manufacturing approach that utilizes robust aqueous two‐phase systems to create intricate and scalable photonic structures and non‐planar mechanochromic hydrogel actuators from plant‐based hydroxypropyl cellulose. This approach broadens the structural possibilities of sustainable photonic devices and mechanochromic systems, offering ...
Xiao Song, Peiqi Niu, Wenxi Gu, Chun Lam Clement Chan, Jiuhong Yi, Xu Liu, Peng Tan, Chon In Haydn Cheong, Qingwen Guan, Dan Fang, Bingpu Zhou, Zi Liang Wu, Ji Liu, Yan Yan Shery Huang, Iek Man Lei   +14 more
wiley   +1 more source

Turbulent patterns in wall-bounded flows: a Turing instability? [PDF]

, 2012
In their way to/from turbulence, plane wall-bounded flows display an interesting transitional regime where laminar and turbulent oblique bands alternate, the origin of which is still mysterious.
Manneville, Paul
core   +3 more sources