Hopf bifurcation for degenerate singular points of multiplicity \(2n - 1\) in dimension 3
The authors study the Andronov-Hopf bifurcation for a class of degenerate singular points of multiplicity \(2n-1\) for a 3-dimensional system of differential equations of first order by averaging theory. It is proved that for a small bifurcation parameter (\(2n-1\)) limit cycles can bifurcate from the origin and under some additional restrictions even \((3n-1)\) ones.
scientific article; zbMATH DE number 5275731