Instability of small stationary localized solutions to a class of reversible 1+1 PDEs

DOI10.1088/0951-7715/10/2/005zbMath0966.35017OpenAlexW1968729553MaRDI QIDQ3841286

L. Yu. Glebskiĭ, Lev M. Lerman

Publication date: 16 August 1998

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/10/2/005

zbMATH Keywords

reversible Hopf bifurcationnormal form of the stationary equationPDEs reversible with respect to a spatial variable

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Bifurcation theory for ordinary differential equations (34C23) Bifurcations in context of PDEs (35B32) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (3)

Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation ⋮ On periodically modulated rolls in the generalized Swift-Hohenberg equation: Galerkin' approximations ⋮ On radial solutions of the Swift-Hohenberg equation

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