An infinite period bifurcation arising in roll waves down an open inclined channel

DOI10.1098/rspa.1986.0043zbMath0593.76024OpenAlexW2082161279MaRDI QIDQ3723936

David John Needham, John H. Merkin

Publication date: 1986

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1986.0043

zbMATH Keywords

solitary wavecontinuous solutionsHopf bifurcationsaddle pointsubcritical caseroll wavesjump conditionsupercritical casedissipation termtwo limit cyclesseparatrix loopdiscontinuous roll wave solutionsevolution of the limit cyclesstable limit cycles at finite amplitude

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Bifurcations in context of PDEs (35B32)

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