Dynamic transitions and Turing patterns of the Brusselator model

DOI10.1002/MMA.8296OpenAlexW4226330879MaRDI QIDQ6142082

Taylan Sengul, Unnamed Author

Publication date: 21 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8296

zbMATH Keywords

pattern formationcritical mode interactionhomogeneous steady state instability

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50)

Cites Work

• Dynamic transition and pattern formation for chemotactic systems
• Attractor and spatial chaos for the Brusselator in \(\mathbb R^n\)
• Interaction of Turing and Hopf modes in the superdiffusive Brusselator model
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Global qualitative dynamics of the Brusselator system
• Turing instability and dynamic phase transition for the Brusselator model with multiple critical eigenvalues
• Hopf bifurcations and transitions of two-dimensional quasi-geostrophic flows
• Instability in the nebula model of compressive viscous gases
• Dynamical transition theory of hexagonal pattern formations
• Dynamic transition theory for thermohaline circulation
• Hopf bifurcation and transition of three-dimensional wind-driven Ocean circulation problem
• Stability and dynamic transition of vegetation model for flat arid terrains
• Pattern formations of 2D Rayleigh-Bénard convection with no-slip boundary conditions for the velocity at the critical length scales
• Phase Transition Dynamics
• Phase transitions for the Brusselator model

This page was built for publication: Dynamic transitions and Turing patterns of the Brusselator model