Diffusion-driven instability and Hopf bifurcation in Brusselator system

DOI10.1007/s10483-008-0614-yzbMath1231.35062OpenAlexW2085252636MaRDI QIDQ940666

B. E. Eshmatov

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-0614-y

zbMATH Keywords

stabilityHopf bifurcationBrusselator systemdiffusion-driven Hopf bifurcation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Boundary value problems for second-order elliptic systems (35J57)

Related Items (18)

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Cites Work

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• Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
• The Hopf bifurcation theorem in infinite dimensions
• Pattern formation in three-dimensional reaction-diffusion systems
• Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion
• Stability and Hopf bifurcation for a prey-predator model with prey-stage structure and diffu\-sion
• Some global results for nonlinear eigenvalue problems
• Pattern formation in the Brusselator system
• Brussellator Isolas
• Global bifurcation in the Brusselator system

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