Turing instability and dynamic phase transition for the Brusselator model with multiple critical eigenvalues

DOI10.3934/dcds.2021035zbMath1465.35043OpenAlexW3127769403MaRDI QIDQ2031224

Yuncherl Choi, Sewoong Kim, Doo Seok Lee, Taeyoung Ha, Jongmin Han

Publication date: 8 June 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021035

zbMATH Keywords

linear stability analysiscenter manifold functionmultiple critical eigenvalues, attractor bifurcation

Mathematics Subject Classification ID

Attractors (35B41) Reaction-diffusion equations (35K57) 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)

Related Items (3)

Interactions of \((m,n)\) and \((m+1,n)\) modes with real eigenvalues: a dynamic transition approach ⋮ Dynamic transitions and Turing patterns of the Brusselator model ⋮ Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions

Uses Software

• Matlab

Cites Work

• Unnamed Item
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• Attractor and spatial chaos for the Brusselator in \(\mathbb R^n\)
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• Global dynamics of the Brusselator equations
• Pattern formation in the Brusselator system
• Non-constant steady-state solutions for Brusselator type systems
• The chemical basis of morphogenesis
• Global bifurcation in the Brusselator system
• Phase Transition Dynamics
• Phase transitions for the Brusselator model
• Spatial patterns. Higher order models in physics and mechanics

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