Stefan M. Grünvogel

Bifurcation of Control Sets at Singular Points

Abstract: We look at a control affine system in $R^d$ with a singular point $x^* \in R^d$. Motivated by the example of the perturbed Duffing-van der Pol equation we show, that under a condition on the Lyapunov exponents, there exists a control set $D /subset R^d$ with nonvoid interior such that $x^* \in closure(D)$.