Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation

DOI10.1016/S0898-1221(97)00127-2zbMath0913.76076MaRDI QIDQ1376725

Leonid A. Belyakov, L. Yu. Glebskiĭ, Lev M. Lerman

Publication date: 25 May 1999

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

saddle-focus equilibriumcomputer simulationssymmetric differential operatorstheory of homoclinic orbits

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Basic methods in fluid mechanics (76M99)

Related Items (9)

On periodically modulated rolls in the generalized Swift-Hohenberg equation: Galerkin' approximations ⋮ Analytical detection of stationary and dynamic patterns in a prey-predator model with reproductive Allee effect in prey growth ⋮ Localized solutions of a piecewise linear model of the stationary Swift-Hohenberg equation on the line and on the plane ⋮ BIFURCATION ANALYSIS OF THE 1D AND 2D GENERALIZED SWIFT–HOHENBERG EQUATION ⋮ Bifurcation analysis of a modified Swift-Hohenberg equation ⋮ On radial solutions of the Swift-Hohenberg equation ⋮ Localised spatial structures in the Thomas model ⋮ Dissecting the snake: transition from localized patterns to spike solutions ⋮ Localized periodic patterns for the non-symmetric generalized Swift-Hohenberg equation

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