On the Amplitude Equations Arising at the Onset of the Oscillatory Instability in Pattern Formation

DOI10.1137/0524037zbMath0790.35044OpenAlexW2080530271MaRDI QIDQ5287965

José M. Vega

Publication date: 9 August 1993

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: http://oa.upm.es/6212/

zbMATH Keywords

pattern formationoscillatory instabilityweakly nonlinear evolutiontwo amplitude equationstwo complex cubic Ginzburg-Landau equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Bifurcations in context of PDEs (35B32)

Related Items (5)

Global stability properties of a hyperbolic system arising in pattern formation ⋮ Justification of mean-field coupled modulation equations ⋮ The stability of standing waves with small group velocity ⋮ Sources, sinks and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave systems ⋮ The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation

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