Linear Instability Implies Spurious Periodic Solutions

DOI10.1093/imanum/9.4.465zbMath0685.65088OpenAlexW2009638169MaRDI QIDQ4203753

Andrew M. Stuart

Publication date: 1989

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/221139fa52fd57a8021f085fcf5d4b04f33a6e56

zbMATH Keywords

periodic solutionsreaction-diffusion-convection equationsasymptotic behaviourlinear instabilitysingularly perturbed boundary value problemslocal bifurcation theoryspurious steady, periodic and quasi-periodic solutions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Bifurcations in context of PDEs (35B32)

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