Hopf bifurcations in general systems of Brusselator type

DOI10.1016/j.nonrwa.2015.09.004zbMath1329.35053OpenAlexW2176170818MaRDI QIDQ891854

Yan Li

Publication date: 17 November 2015

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2015.09.004

zbMATH Keywords

homogeneous Neumann boundary conditionbifurcation direction

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

• Unnamed Item
• Unnamed Item
• Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
• Diffusion-driven instability and Hopf bifurcation in Brusselator system
• Dynamics of local map of a discrete Brusselator model: Eventually trapping regions and strange attractors
• Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• Global dynamics of the Brusselator equations
• Mesa-type patterns in the one-dimensional Brusselator and their stability
• Pattern formation in the Brusselator system
• Pattern formation in a general glycolysis reaction-diffusion system
• Brussellator Isolas
• Non-constant steady-state solutions for Brusselator type systems
• TURING PATTERNS IN GENERAL REACTION-DIFFUSION SYSTEMS OF BRUSSELATOR TYPE
• The chemical basis of morphogenesis
• Global bifurcation in the Brusselator system
• Normal form for Hopf bifurcation of partial differential equations on the square