Euclidean invariant phase dynamics for propagating pattern

DOI10.1016/0167-2789(87)90003-0zbMath0632.76002OpenAlexW1994016200MaRDI QIDQ1095725

Takao Ohta, Kyozi Kawasaki

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90003-0

zbMATH Keywords

nonlinear standing wavepropagating wavebifurcation thresholdEuclidean invariant phase dynamicspropagating spatially modulated structuressmooth deformation of a striped patternstability criterions

Mathematics Subject Classification ID

Diffusion (76R50) Foundations of fluid mechanics (76A02)

Related Items (4)

Phase dynamics in aligned coordinate frame ⋮ Collective phase description of oscillatory convection ⋮ Pattern formation in rotating Bénard convection ⋮ Phase description of oscillatory convection with a spatially translational mode

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Stable spatio-temporal oscillations of diffusive Lotka-Volterra system with three or more species
• Instability and Turbulence of Wavefronts in Reaction-Diffusion Systems
• Phase Dynamics of Weakly Unstable Periodic Structures
• Euclidean Invariant Formulation of Phase Dynamics. I: Non-Propagating Periodic Pattern
• Derivation of the amplitude equation at the Rayleigh–Bènard instability
• Amplitude equations at the critical points of unstable dispersive physical systems
• Oscillatory motion in Bénard cell due to the Soret effect

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