The stability of localized spikes for the 1-D Brusselator reaction–diffusion model

DOI10.1017/S0956792513000089zbMath1295.35038MaRDI QIDQ2870833

Yana Nec, Michael J. Ward, Justin C. Tzou

Publication date: 21 January 2014

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationquasi-equilibriaasynchronous oscillatory instabilitydynamically triggered instabilitynon-local eigenvalue problem

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (9)

Steady states of a Sel'kov-Schnakenberg reaction-diffusion system ⋮ Oscillatory translational instabilities of spot patterns in the Schnakenberg system on general 2D domains ⋮ Spots, traps, and patches: asymptotic analysis of localized solutions to some linear and nonlinear diffusive systems ⋮ The stability and slow dynamics of spot patterns in the 2D Brusselator model: the effect of open systems and heterogeneities ⋮ Anomalous Scaling of Hopf Bifurcation Thresholds for the Stability of Localized Spot Patterns for Reaction-Diffusion Systems in Two Dimensions ⋮ Competition instabilities of spike patterns for the 1D Gierer–Meinhardt and Schnakenberg models are subcritical ⋮ Asynchronous Instabilities of Crime Hotspots for a 1-D Reaction-Diffusion Model of Urban Crime with Focused Police Patrol ⋮ Explicitly Solvable Nonlocal Eigenvalue Problems and the Stability of Localized Stripes in Reaction-Diffusion Systems ⋮ The Stability of Localized Spot Patterns for the Brusselator on the Sphere

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