@article {2010, title = {Dynamics control by a time-varying feedback}, journal = {Journal of Dynamical and Control Systems. Volume 16, Issue 2, April 2010, Pages :149-162}, year = {2010}, publisher = {SISSA}, abstract = {We consider a smooth bracket generating control-affine system in R^d and show that any orientation preserving diffeomorphism of R^d can be approximated, in the very strong sense, by a diffeomorphism included in the flow generated by a time-varying feedback control which is polynomial with respect to the state variables and trigonometric-polynomial with respect to the time variable.}, keywords = {Discrete-time dynamics}, doi = {10.1007/s10883-010-9087-7}, url = {http://hdl.handle.net/1963/6461}, author = {Andrei A. Agrachev and Marco Caponigro} }