A note on the computation of bifurcation diagrams of the Kuramoto- Sivashinsky equation by pseudospectral methods

DOI10.1016/0168-9274(93)90138-HzbMath0788.65124WikidataQ126844387 ScholiaQ126844387MaRDI QIDQ1308570

M. A. López-Marcos

Publication date: 20 December 1993

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

Kuramoto-Sivashinsky equationpseudospectral methodsbifurcation diagrams

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05)

Related Items (1)

Two-dimensional simulation of the damped Kuramoto-Sivashinsky equation via radial basis function-generated finite difference scheme combined with an exponential time discretization

Cites Work

• Unnamed Item
• Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension
• Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
• Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
• Symmetry and bifurcation near families of solutions
• Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
• The Computation of Symmetry-Breaking Bifurcation Points
• Subharmonic Branching in Reversible Systems
• Kuramoto–Sivashinsky Dynamics on the Center–Unstable Manifold
• Numerical analysis of pseudospectral methods for the Kuramoto-Sivashinsky equation

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