Weakly Nonlinear Analysis of Peanut-Shaped Deformations for Localized Spots of Singularly Perturbed Reaction-Diffusion Systems

DOI10.1137/20M1316779zbMath1472.35026arXiv2002.01453MaRDI QIDQ4983498

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Publication date: 20 April 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.01453

zbMATH Keywords

subcritical bifurcationamplitude equationglobal bifurcation software pde2pathpeanut-shaped linear instability of a steady-state spot

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Normal forms for dynamical systems (37G05) Continuation and prolongation of solutions to PDEs (35B60) Bifurcations in context of PDEs (35B32) Numerical bifurcation problems (65P30) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)

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Uses Software

• pde2path

Cites Work

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