Local Controllability around Closed Orbits
Volume 62 / 2014
Bulletin Polish Acad. Sci. Math. 62 (2014), 77-85
MSC: Primary 93C10; Secondary 93C15, 34H05.
DOI: 10.4064/ba62-1-8
Abstract
We give a necessary and sufficient condition for local controllability around closed orbits for general smooth control systems. We also prove that any such system on a compact manifold has a closed orbit.