Subharmonic bifurcations in a branch of Stokes waves

Steady surface waves in a two-dimensional channel are considered. I’ll talk about bifurcations, which occur on a branch of Stokes water waves starting from a uniform stream solution and approaching an extreme wave. Two types of bifurcations are considered: bifurcations in the class of Stokes waves and bifurcations in a class of periodic waves with the period M-times the period of the Stokes wave (subharmonic bifurcations). The talk is based on the papers: 1. V. Kozlov, The subharmonic bifurcation of Stokes waves on vorticity flow, JDE, 2023, 2. V. Kozlov, On first subharmonic bifurcations in a branch of Stokes waves, arXiv:2303.11440, 2023.