Dynamical bifurcation of the two dimensional Swift-Hohenberg equation with odd periodic condition

DOI10.3934/dcdsb.2012.17.2431zbMath1262.35031OpenAlexW2314140138MaRDI QIDQ713377

Chun-Hsiung Hsia, Jongmin Han

Publication date: 29 October 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.2431

zbMATH Keywords

phase transitioncenter manifoldattractor bifurcationtopological type of the attractor

Mathematics Subject Classification ID

Attractors (35B41) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items

Dynamical bifurcation of the damped Kuramoto-Sivashinsky equation, Dynamic transitions and bifurcations of 1D reaction–diffusion equations: The self‐adjoint case, Stochastic Swift-Hohenberg equation with degenerate linear multiplicative noise, DYNAMICAL BIFURCATION OF THE ONE-DIMENSIONAL CONVECTIVE CAHN-HILLIARD EQUATION, Dynamic transitions of the Swift-Hohenberg equation with third-order dispersion, Bifurcation analysis of the damped Kuramoto-Sivashinsky equation with respect to the period, Bifurcation and final patterns of a modified Swift-Hohenberg equation