On bifurcation from steady-state solutions to rotating waves in the Kuramoto-Sivashinsky equation

DOI10.1007/s11741-005-0038-6zbMath1084.65094OpenAlexW2367827024MaRDI QIDQ3368135

Zhong-hua Yang, Changpin Li, Guan-Rong Chen

Publication date: 27 January 2006

Published in: Journal of Shanghai University (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11741-005-0038-6

zbMATH Keywords

numerical resultsbifurcationnonlinear Galerkin methodrotating wave solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Numerical bifurcation problems (65P30)

Related Items (1)

Discrete Conley index and bifurcation points

Cites Work

• Unnamed Item
• Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
• Inertial manifolds for nonlinear evolutionary equations
• Infinite-dimensional dynamical systems in mechanics and physics
• A particle model for the Kuramoto-Sivashinsky equation
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Bifurcation to Rotating Waves in Equations with $O(2)$-Symmetry
• Fully discrete nonlinear galerkin methods for Kuramoto-Sivashinsky equation and their error estimates
• Nonlinear Galerkin Methods
• BIFURCATION ANALYSIS OF THE KURAMOTO–SIVASHINSKY EQUATION IN ONE SPATIAL DIMENSION

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