Diffusion-induced instability in chemically reacting systems: Steady-state multiplicity, oscillation, and chaos

DOI10.1063/1.165819zbMath0900.92174OpenAlexW2032666405WikidataQ73464079 ScholiaQ73464079MaRDI QIDQ4390259

István Lengyel, Irving R. Epstein

Publication date: 10 November 1998

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.165819

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Applications of dynamical systems (37N99)

Related Items (16)

Some global results for the Degn-Harrison system with diffusion ⋮ Spatiotemporal pattern formation of a diffusive bimolecular model with autocatalysis and saturation law ⋮ Hopf bifurcation in a reaction-diffusion model with Degn-Harrison reaction scheme ⋮ Turing instability of the periodic solutions for reaction-diffusion systems with cross-diffusion and the patch model with cross-diffusion-like coupling ⋮ Unnamed Item ⋮ Destabilization of synchronous periodic solutions for patch models ⋮ Qualitative analysis and Hopf bifurcation of a generalized Lengyel-Epstein model ⋮ Network topology and Turing instabilities in small arrays of diffusively coupled reactors ⋮ Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions ⋮ Spatiotemporal Patterns in a Lengyel–Epstein Model Near a Turing–Hopf Singular Point ⋮ Turing-Turing bifurcation in an activator-inhibitor system with gene expression time delay ⋮ A generalized Degn-Harrison reaction-diffusion system: asymptotic stability and non-existence results ⋮ A two-patch prey-predator model with predator dispersal driven by the predation strength ⋮ Localized patterns in homogeneous networks of diffusively coupled reactors ⋮ Hopf and Bautin bifurcations in a generalized Lengyel-Epstein system ⋮ Turing instability of the periodic solutions for the diffusive Sel'kov model with saturation effect

Cites Work

• Control of mitosis by a continuous biochemical oscillation: synchronization; spatially inhomogeneous oscillations
• The chemical basis of morphogenesis

This page was built for publication: Diffusion-induced instability in chemically reacting systems: Steady-state multiplicity, oscillation, and chaos