Results 61 to 70 of about 8,750 (185)
Turing Bifurcation and Pattern Formation of Stochastic Reaction-Diffusion System [PDF]
Advances in Mathematical Physics, 2017 Noise is ubiquitous in a system and can induce some spontaneous pattern formations on a spatially homogeneous domain. In comparison to the Reaction-Diffusion System (RDS), Stochastic Reaction-Diffusion System (SRDS) is more complex and it is very difficult to deal with the noise function.
Qianiqian Zheng +3 more
openaire +3 more sources
Pattern Dynamics in a Predator-Prey Model with Diffusion Network
Complexity, 2022 Diffusion plays an essential role in the distribution of predator and prey. We mainly research the diffusion network’s effect on the predator-prey model through bifurcation.
Wenjie Yang +3 more
doaj +1 more source
Stationary localized structures and the effect of the delayed feedback in the Brusselator model
, 2018 The Brusselator reaction-diffusion model is a paradigm for the understanding of dissipative structures in systems out of equilibrium. In the first part of this paper, we investigate the formation of stationary localized structures in the Brusselator ...
Averlant, Etienne +8 more
core +1 more source
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.Rumor propagation significantly impacts both individual well‐being and societal stability, with various factors influencing its spread. While existing research has primarily focused on the role of interpersonal familiarity in rumor diffusion, this study introduces a different perspective: an individual’s familiarity with the subject matter itself plays
Weijun Yan, Yuhan Hu, Mengxin Chen
wiley +1 more source
Investigation of Turing structures formation under the influence of wave instability [PDF]
Компьютерные исследования и моделирование, 2019 A classical for nonlinear dynamics model, Brusselator, is considered, being augmented by addition of a third variable, which plays the role of a fast-diffusing inhibitor.
Maxim Borisovich Kuznetsov
doaj +1 more source
Hopf Bifurcation Analysis of a Diffusive Nutrient–Phytoplankton Model with Time Delay
Axioms, 2022 In this paper, we studied a nutrient–phytoplankton model with time delay and diffusion term. We studied the Turing instability, local stability, and the existence of Hopf bifurcation.
Ruizhi Yang, Liye Wang, Dan Jin
doaj +1 more source
Diffusive Resource–Consumer Dynamics With the Simplest Learning Mechanism and Nonlocal Memory Usage
Mathematical Methods in the Applied Sciences, Volume 48, Issue 18, Page 16433-16444, December 2025.ABSTRACT To describe cognitive consumers' movement, we study a diffusive resource–consumer model with nonlocal memory usage described by a system of parabolic equations, which is coupled with spatial memory dynamics described by a linear learning equation.
Qigang Deng, Ranchao Wu, Hao Wang
wiley +1 more source
Routes to spatiotemporal chaos in Kerr optical frequency combs
, 2014 We investigate the various routes to spatiotemporal chaos in Kerr optical frequency combs obtained through pumping an ultra-high quality whispering-gallery mode resonator with a continuous-wave laser.
Chembo, Yanne K., Coillet, Aurélien
core +4 more sources
SmartMat, Volume 6, Issue 6, December 2025.This review systematically outlines recent advances in the catalytic strategies for converting CO₂ into valuable products, including photocatalysis, electrocatalysis, CO2 hydrogenation, photothermal catalysis, non‐thermal plasma, and biocatalytic processes.
An Zhang +68 more
wiley +1 more source
Analyzing Turing's Systems via Dynamic Bifurcation Theory
, 2018 In this paper, we introduce a novel approach to study reaction-diffusion systems -- dynamic transition theory approach developed in Ma and Wang 2015. This approach generalizes Turing's classical result (linear stability analysis) on pattern formation and cast some new insights into Turing's systems. Specifically, we studied the Turing's instability and
Yang, Xige, Li, Dapeng
openaire +2 more sources