Degenerate Hopf bifurcation in multiparameter hudrodynamical problems

Abstract

Abstract: The method for computing Liapunov-Schmidt expansions in the analysis of degenerate Hopf bifurcation for equations with quadrate nonlinearity in Hilbert space was proposed. This algorithm was applied to the study of the loss of stability and bifurcations of Couette-Poiseuille and Kolmogorov viscous fluid flows.Note: Research direction:Mathematical problems and theory of numerical method