The 1:2 resonance with \(O(2)\) symmetry and its applications in hydrodynamics
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Publication:1804601
DOI10.1007/BF01208376zbMath0820.76016OpenAlexW2030228458MaRDI QIDQ1804601
Publication date: 11 June 1995
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01208376
homoclinic orbitsreduced Hamiltonianadditional symmetrycircular basinpolar blowing-upprojection on orbit spacestably stratified two-layer fluidtwo- dimensional capillary-gravity surface waves
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Reaction effects in flows (76V05)
Related Items
Classification and unfoldings of \(1:2\) resonant Hopf bifurcation, The instability of Wilton ripples, Resonant triad interactions of gravity waves in cylindrical basins, Bifurcation of relative equilibria in mechanical systems with symmetry, Resonant triad dynamics in weakly damped Faraday waves with two-frequency forcing, Gröbner bases, invariant theory and equivariant dynamics, Finite-amplitude steady-state resonant waves in a circular basin
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