Bifurcation of a limit cycle from the equilibrium submanifold in a system with multiple cosymmetries (Q1972536)

The authors deal with bifurcation of a limit cycle from the equilibrium submanifold in a system with multiple cosymmetries. It was known that, for the case of a single cosymmetry \((k=1)\), new effects related to the bifurcation of a limit cycle from a family of equilibria occur. Here the authors extend these results to arbitrary \(k\). The authors show that for \(k>1\) new effects arise, namely bifurcation of stability domains from a family of equilibria. Moreover they illustrate their results by an application to the auto-oscillation problem.