Bifurcation of traveling waves resulting from resonant mode crossings in oceanic currents

DOI10.1016/S0997-7546(99)80004-1zbMath0935.76028OpenAlexW2081047907WikidataQ126815444 ScholiaQ126815444MaRDI QIDQ1302943

Michael Renardy

Publication date: 9 May 2000

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0997-7546(99)80004-1

zbMATH Keywords

rotating system1:1 resonanceparallel currentsreversible Hopf bifurcationreversible Hopf bifurcation with \(O(2)\)-symmetry

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (1)

Bounded traveling waves of the oceanic currents motion equations

Cites Work

• Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
• The Hamiltonian Hopf bifurcation
• A simple global characterization for normal forms of singular vector fields
• On an eigenvalue problem arising in the study of the stability of ocean currents
• Well-posedness of the shallow water equations in the presence of a front
• Stable and unstable shear modes of rotating parallel flows in shallow water
• Ageostrophic instability of ocean currents
• Periodic orbits near ?4 for mass ratios near the critical mass ratio of routh
• Hopf bifurcation for equivariant conservative and time-reversible systems
• Hamiltonian Hopf bifurcation with symmetry

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