Local Controllability around Closed Orbits
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 1, pp. 77-85.

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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.
DOI : 10.4064/ba62-1-8
Keywords: necessary sufficient condition local controllability around closed orbits general smooth control systems prove system compact manifold has closed orbit

Marek Grochowski 1

1 Faculty of Mathematics and Natural Sciences Cardinal Stefan Wyszyński University Dewajtis 5 01-815 Warszawa, Poland and Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland
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Marek Grochowski. Local Controllability around Closed Orbits. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 1, pp. 77-85. doi : 10.4064/ba62-1-8. http://geodesic.mathdoc.fr/articles/10.4064/ba62-1-8/

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