Controllability on the Group of Diffeomorphisms
Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 6, pp. 2503-2509.
@article{AIHPC_2009__26_6_2503_0,
     author = {Agrachev, A. A. and Caponigro, M.},
     title = {Controllability on the {Group} of {Diffeomorphisms}},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {2503--2509},
     publisher = {Elsevier},
     volume = {26},
     number = {6},
     year = {2009},
     doi = {10.1016/j.anihpc.2009.07.003},
     mrnumber = {2569905},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1016/j.anihpc.2009.07.003/}
}
TY  - JOUR
AU  - Agrachev, A. A.
AU  - Caponigro, M.
TI  - Controllability on the Group of Diffeomorphisms
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2009
SP  - 2503
EP  - 2509
VL  - 26
IS  - 6
PB  - Elsevier
UR  - http://archive.numdam.org/articles/10.1016/j.anihpc.2009.07.003/
DO  - 10.1016/j.anihpc.2009.07.003
LA  - en
ID  - AIHPC_2009__26_6_2503_0
ER  - 
%0 Journal Article
%A Agrachev, A. A.
%A Caponigro, M.
%T Controllability on the Group of Diffeomorphisms
%J Annales de l'I.H.P. Analyse non linéaire
%D 2009
%P 2503-2509
%V 26
%N 6
%I Elsevier
%U http://archive.numdam.org/articles/10.1016/j.anihpc.2009.07.003/
%R 10.1016/j.anihpc.2009.07.003
%G en
%F AIHPC_2009__26_6_2503_0
Agrachev, A. A.; Caponigro, M. Controllability on the Group of Diffeomorphisms. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 6, pp. 2503-2509. doi : 10.1016/j.anihpc.2009.07.003. http://archive.numdam.org/articles/10.1016/j.anihpc.2009.07.003/

[1] Agrachev A. A., Sachkov Yu. L., Control Theory From the Geometric Viewpoint, Springer-Verlag, Berlin, 2004, xiv+412 pp. | MR | Zbl

[2] Chow W.-L., Über Systeme Von Linearen Partiellen Differentialgleichungen Erster Ordinung, Math. Ann. 117 (1939) 98-105. | JFM | MR

[3] Khesin B., Lee P., A Nonholonomic Moser Theorem and Optimal Mass Transport, J. Symplectic Geom. 7 (4) (2009) 1-34. | MR

[4] Kuranishi M., On Everywhere Dense Imbedding of Free Groups in Lie Groups, Nagoya Math. J. 2 (1951) 63-71. | MR | Zbl

[5] Lobry C., Une Propriété Générique Des Couples De Champs De Vecteurs, Czechoslovak Math. J. 22 (97) (1972) 230-237. | MR | Zbl

[6] Palis J., Smale S., Structural Stability Theorems, in: Global Analysis, Berkeley, CA, 1968, Proc. Sympos. Pure Math., vol. XIV, Amer. Math. Soc., 1970, pp. 223-231. | MR | Zbl

[7] Rashevsky P. K., About Connecting Two Points of Complete Nonholonomic Space by Admissible Curve, Uch. Zap. Ped. Inst. Libknehta 2 (1938) 83-94.

[8] Sussmann H. J., Orbits of Families of Vector Fields and Integrability of Distributions, Trans. Amer. Math. Soc. 180 (1973) 171-188. | MR | Zbl

[9] Thurston W., Foliations and Groups of Diffeomorphisms, Bull. Amer. Math. Soc. 80 (1974) 304-307. | MR | Zbl

Cité par Sources :