The stability and slow dynamics of spot patterns in the 2D Brusselator model: the effect of open systems and heterogeneities
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Publication:1656655
DOI10.1016/j.physd.2018.02.002zbMath1392.35039OpenAlexW2792564626MaRDI QIDQ1656655
Justin C. Tzou, Michael J. Ward
Publication date: 10 August 2018
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2018.02.002
Asymptotic behavior of solutions to PDEs (35B40) Classical flows, reactions, etc. in chemistry (92E20) Pattern formations in context of PDEs (35B36)
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Local and global bifurcation of steady states to a general Brusselator model, Spots, traps, and patches: asymptotic analysis of localized solutions to some linear and nonlinear diffusive systems, Weierstrass and Jacobi elliptic solutions with some new dromions to Maccari system, Anomalous Scaling of Hopf Bifurcation Thresholds for the Stability of Localized Spot Patterns for Reaction-Diffusion Systems in Two Dimensions, FOUR–DIMENSIONAL BRUSSELATOR MODEL WITH PERIODICAL SOLUTION, Multi-spike patterns in the Gierer-Meinhardt system with a nonzero activator boundary flux, Isolating patterns in open reaction-diffusion systems, Refined stability thresholds for localized spot patterns for the Brusselator model in, Spot patterns of the Schnakenberg reaction–diffusion system on a curved torus, Weakly Nonlinear Analysis of Peanut-Shaped Deformations for Localized Spots of Singularly Perturbed Reaction-Diffusion Systems, Boundary layer solutions in the Gierer-Meinhardt system with inhomogeneous boundary conditions, Spot Dynamics of a Reaction-Diffusion System on the Surface of a Torus
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Cites Work
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