Dynamical bifurcation for the Kuramoto-Sivashinsky equation

DOI10.1016/j.na.2010.09.052zbMath1209.35017OpenAlexW2094805185MaRDI QIDQ622385

Wang Axia, Ling Yu Song, Yin Di Zhang

Publication date: 31 January 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.052

zbMATH Keywords

Kuramoto-Sivashinsky equationCenter manifoldAttractor bifurcationEigenvalue analysis

Mathematics Subject Classification ID

Bifurcations in context of PDEs (35B32)

Related Items (10)

Attractor bifurcation for FKPP type equation with periodic boundary condition ⋮ Linearized Stability of Partial Differential Equations with Application to Stabilization of the Kuramoto--Sivashinsky Equation ⋮ A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation ⋮ Hidden Symmetry in a Kuramoto–Sivashinsky Initial-Boundary Value Problem ⋮ Attractor bifurcation and phase transition for liquid \(^4\)He ⋮ Attractor bifurcation for the extended Fisher-Kolmogorov equation with periodic boundary condition ⋮ Attractor bifurcation for extended Fisher-Kolmogorov equation ⋮ Nonlinear adaptive boundary control of the modified generalized Korteweg-de Vries-Burgers equation ⋮ Cubic Hermite collocation solution of Kuramoto–Sivashinsky equation ⋮ Modelling and nonlinear boundary stabilization of the modified generalized Korteweg-de Vries-Burgers equation

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