Pattern selection at an instability with broadened sidebands

DOI10.1016/S0375-9601(01)00646-6zbMath1023.34042OpenAlexW1975360702MaRDI QIDQ5949178

Benno Rumpf

Publication date: 15 November 2001

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00646-6

zbMATH Keywords

codimension-2 bifurcationlong time scale mode interactionquartic eigenvalue spectrum

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Qualitative investigation and simulation of ordinary differential equation models (34C60) Smooth dynamical systems: general theory (37C99)

Cites Work

• Universal description of laser dynamics near threshold
• Analysis of a degenerate travelling wave instability
• Spatiotemporal intermittency regimes of the one-dimensional complex Ginzburg-Landau equation
• Pattern formation outside of equilibrium

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