Turing instability and attractor bifurcation for the general Brusselator model

DOI10.3934/cpaa.2024032zbMATH Open1543.35021MaRDI QIDQ6542410

Taeyoung Ha, Jongmin Han, Young Rock Kim, Doo Seok Lee, Yuncherl Choi

Publication date: 22 May 2024

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

Turing instabilityattractor bifurcationcenter manifold functiongeneral Brusselator model

Mathematics Subject Classification ID

Attractors (35B41) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Hopf bifurcations in general systems of Brusselator type
• Geometric theory of semilinear parabolic equations
• Turing instability and dynamic phase transition for the Brusselator model with multiple critical eigenvalues
• Dynamical transition theory of hexagonal pattern formations
• Global dynamics of the Brusselator equations
• Stochastic approximations of higher-molecular by bi-molecular reactions
• Non-constant steady-state solutions for Brusselator type systems
• TURING PATTERNS IN GENERAL REACTION-DIFFUSION SYSTEMS OF BRUSSELATOR TYPE
• The chemical basis of morphogenesis
• Phase Transition Dynamics
• Phase transitions for Belousov-Zhabotinsky reactions
• Phase transitions for the Brusselator model
• Dynamic transitions and Turing patterns of the Brusselator model

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