A five-mode bifurcation analysis of a Kuramoto-Sivashinsky equation with dispersion

DOI10.1016/0375-9601(94)90774-9zbMath0941.35510OpenAlexW2025468620MaRDI QIDQ1964407

C. M. Alfaro, M. Cristina Depassier

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90774-9

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrodynamic stability (76E99) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items

Dynamics of a nonlocal Kuramoto-Sivashinsky equation ⋮ Reduced-order-based feedback control of the Kuramoto--Sivashinsky equation ⋮ Evolution equation for bidirectional surface waves in a convecting fluid

Uses Software

• AUTO-86

Cites Work

• Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations
• Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry
• Finite mode analysis of the generalized Kuramoto-Sivashinsky equation
• Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
• Forced reflectional symmetry breaking of an O(2)-symmetric homoclinic cycle
• Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
• Hopf bifurcation with broken circular symmetry
• The interaction of two spatially resonant patterns in thermal convection. Part 1. Exact 1:2 resonance
• Long Waves on Liquid Films

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