Bifurcation of spatially quasi-periodic solutions in hydrodynamic stability problems

DOI10.1088/0951-7715/3/3/014zbMath0708.35012OpenAlexW2011138395MaRDI QIDQ3490342

Gérard Iooss, Jérôme E. Los

Publication date: 1990

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/3/3/014

zbMATH Keywords

persistencenormal formsCantor setcentre manifoldspatially periodic solutionsquasi- periodic

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear effects in hydrodynamic stability (76E30) Navier-Stokes equations (35Q30) Bifurcations in context of PDEs (35B32)

Related Items (8)

Whitney smooth families of invariant tori within the reversible context 2 of KAM theory ⋮ Water waves for small surface tension: an approach via normal form ⋮ THE QUASI-PERIODIC REVERSIBLE HOPF BIFURCATION ⋮ Water waves as a spatial dynamical system; infinite depth case ⋮ Lower-dimensional tori in reversible systems ⋮ Reversible systems with first integrals ⋮ Convergence properties of the 8, 10 and 12 mode representations of quasipatterns ⋮ Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders

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