Dynamical bifurcation of the damped Kuramoto-Sivashinsky equation

DOI10.1016/j.jmaa.2014.07.009zbMath1333.37068OpenAlexW2070506071MaRDI QIDQ401368

Yuncherl Choi, Jongmin Han

Publication date: 26 August 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.009

zbMATH Keywords

center manifoldattractor bifurcationdamped Kuramoto-Sivashinsky equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Bifurcations in context of PDEs (35B32) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (5)

Center manifold for the third-order nonlinear Schrödinger equation with critical lengths ⋮ DYNAMICAL BIFURCATION OF THE ONE-DIMENSIONAL CONVECTIVE CAHN-HILLIARD EQUATION ⋮ Bifurcation Analysis and Pattern Selection of Solutions for the Modified Swift–Hohenberg Equation ⋮ Bifurcation analysis of the damped Kuramoto-Sivashinsky equation with respect to the period ⋮ Bifurcation and final patterns of a modified Swift-Hohenberg equation

Cites Work

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• Pattern selection of solutions of the Swift--Hohenberg equation
• Attractor bifurcation and final patterns of the \(N\)-dimensional and generalized Swift-Hohenberg equations
• DYNAMIC BIFURCATION OF THE PERIODIC SWIFT-HOHENBERG EQUATION
• Some Canonical Bifurcations in the Swift–Hohenberg Equation
• Spatial patterns. Higher order models in physics and mechanics

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