Results 71 to 80 of about 8,745 (203)
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
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Mesa-type patterns in the one-dimensional Brusselator and their stability
, 2005 The Brusselator is a generic reaction-diffusion model for a tri-molecular chemical reaction. We consider the case when the input and output reactions are slow.
Alikakos +38 more
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Are physiological oscillations physiological?
The Journal of Physiology, Volume 604, Issue 9, Page 3672-3693, 1 May 2026.Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
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Discrete Dynamics in Nature and Society, 2022 A delayed diffusive predator-prey model with predator interference or foraging facilitation is studied. We are interested in the existence of Turing instability, local stability, and Hopf bifurcation. We analyze the direction and stability of bifurcating
Wenlong Wang, Zijun Liu, Ruizhi Yang
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Boundary-Induced Pattern Formation from Temporal Oscillation: Spatial Map Analysis
, 2016 Boundary-induced pattern formation from a spatially uniform state is investigated using one-dimensional reaction-diffusion equations. The temporal oscillation is successively transformed into a spatially periodic pattern, triggered by diffusion from the ...
Kaneko, Kunihiko, Kohsokabe, Takahiro
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Small Science, Volume 6, Issue 4, April 2026.Intracellular reaction‐diffusion (iRD) waves scale their wavelength to space size when they are confined within cell‐size spaces, despite having intrinsic wavelength in open systems. This wavelength selection ensures the scaling of the wave shape and the velocity, preserving these essential properties against physicochemical perturbations. This scaling
Sakura Takada +5 more
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Bifurcation Analysis of a Resource–Consumer System With Explicit Spatiotemporal Memory
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT In ecological systems, animal movement is often influenced by memory and spatial cognition, especially in advanced species. This paper investigates the dynamics of a diffusive resource–consumer model incorporating explicit spatiotemporal distributed memory, where memory effects are modeled as distributed delays in both time and space.
Luhong Ye, Hao Wang
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Turing instability and Hopf bifurcation in a predator–prey model with delay and predator harvesting
Advances in Difference Equations, 2019 In this paper, we study a predator–prey model with delay and harvesting on predator. We give the conditions for stability and Turing instability of coexisting equilibrium by analyzing the eigenvalue spectrum.
Wenjing Gao +4 more
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Numerical bifurcation analysis of a 3D turing-type reaction–diffusion model [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Song, Weiyan +3 more
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A Thermodynamic Framework for Turing‐Type Instabilities in Porous Media: Part I Theory
Geochemistry, Geophysics, Geosystems, Volume 27, Issue 3, March 2026.Abstract Pattern formation in geological materials is commonly described using analogies to Turing‐type reaction–diffusion systems, yet a unifying thermodynamic explanation remains elusive. Here we develop a multiscale, thermodynamically consistent framework for pattern‐forming instabilities in porous media undergoing coupled thermo–hydro–mechanical ...
Klaus Regenauer‐Lieb +5 more
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