Branches of forced oscillations for a class of constrained ODEs: a topological approach (Q692794)

The authors are interested in the study of periodic solutions of some periodically perturbed ordinary differential equations on a differentiable manifold in \(\mathbb R^n\) depending on a parameter. For this aim, they derive a formula for computing the topological degree and then apply it for proving the global continuation of periodic solutions to some differential-algebraic equations.