Results 101 to 110 of about 32,500 (209)
Taxis-Driven Pattern Formation in Tri-Trophic Food Chain Model with Omnivory
MathematicsThe spatiotemporal dynamics of a three-component model of a food web are considered. The model describes the interactions between populations of resources, prey, and predators that consume both species.
Evgeniya Giricheva
doaj +1 more source
Hippocampal Spike-Timing Correlations Lead to Hexagonal Grid Fields
, 2017 Space is represented in the mammalian brain by the activity of hippocampal place cells as well as in their spike-timing correlations. Here we propose a theory how this temporal code is transformed to spatial firing rate patterns via spike-timing ...
Leibold, Christian +1 more
core +1 more source
Electron–Matter Interactions During Electron Beam Nanopatterning
Advanced Functional Materials, Volume 36, Issue 21, 12 March 2026.This article reviews the electron–matter interactions important to nanopatterning with electron beam lithography (EBL). Electron–matter interactions, including secondary electron generation routes, polymer radiolysis, and electron beam induced charging, are discussed.
Camila Faccini de Lima +2 more
wiley +1 more source
Turing Instabilities are Not Enough to Ensure Pattern Formation [PDF]
Bulletin of Mathematical BiologyAbstractSymmetry-breaking instabilities play an important role in understanding the mechanisms underlying the diversity of patterns observed in nature, such as in Turing’s reaction–diffusion theory, which connects cellular signalling and transport with the development of growth and form.
Krause, AL +4 more
openaire +6 more sources
Spikes for the gierer-meinhardt system with many segments of different diffusivities [PDF]
, 2008 We rigorously prove results on spiky patterns for the Gierer-Meinhardt system with a large number of jump discontinuities in the diffusion coefficient of the inhibitor.
Tse, W, Wei, J, Winter, M
core +2 more sources
An economic cross-diffusion mutualistic model for cities emergence
, 2019 We study an evolution cross-diffusion problem with mutualistic Lotka-Volterra reaction term to modelize the long-term spatial distribution of labor and capital. The mutualistic behavior is deduced from the gradient flow associated to profits maximization.
de-Córdoba, Gonzalo F. +1 more
core +1 more source
Turing instabilities from a limit cycle
, 2014 The Turing instability is a paradigmatic route to patterns formation in reaction-diffusion systems. Following a diffusion-driven instability, homogeneous fixed points can become unstable when subject to external perturbation. As a consequence, the system evolves towards a stationary, nonhomogeneous attractor.
Challenger, Joseph D. +2 more
openaire +2 more sources
Turing instability mechanism of short-memory formation in multilayer FitzHugh-Nagumo network. [PDF]
Front Psychiatry, 2023 Wang J, Shen J.
europepmc +1 more source
Turing instability in an economic-demographic dynamical system may lead to pattern formation on a geographical scale. [PDF]
J R Soc Interface, 2021 Zincenko A +3 more
europepmc +1 more source
, 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 +4 more
core +1 more source