A. A. Agrachev and A. V. Sarychev, Strong minimality of abnormal geodesics for 2-distributions, Journal of Dynamical and Control Systems, vol.113, issue.2, pp.2-139, 1995.
DOI : 10.1007/978-94-010-2675-8_1

F. Alouges, A. Desimone, and A. Lefebvre, Optimal Strokes for Low Reynolds Number Swimmers: An Example, Journal of Nonlinear Science, vol.209, issue.3, pp.277-302, 2008.
DOI : 10.1007/978-3-642-61529-0

A. Bella¨?chebella¨?che, The tangent space in sub-Riemannian geometry, J. Math. Sci, vol.4, pp.83-461, 1997.

M. Berger, La taxonomie des courbes, Pour la science, vol.297, pp.56-63, 2002.

P. Bettiol, B. Bonnard, L. Giraldi, P. Martinon, and J. Rouot, The three links Purcell swimmer and some geometric problems related to periodic optimal controls, Rad. Ser. Comp. App. Variational Methods, vol.18, 2016.
DOI : 10.1515/9783110430394-010

P. Bettiol, B. Bonnard, A. Nolot, and J. Rouot, Sub-Riemannian geometry and swimming at low Reynolds number: the Copepod case. (preprint 2017 https
DOI : 10.1051/cocv/2017071

URL : https://hal.archives-ouvertes.fr/hal-01442880

F. Bonnans, D. Giorgi, S. Maindrault, P. Martinon, and V. Grélard, Bocop -A collection of examples, Inria Research Report, p.8053, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00726992

B. Bonnard, J. Caillau, and E. Trélat, Second order optimality conditions in the smooth case and applications in optimal control, ESAIM: Control, Optimisation and Calculus of Variations, vol.6, issue.2, pp.207-236, 2007.
DOI : 10.1051/cocv:2001115

URL : https://hal.archives-ouvertes.fr/hal-00086380

B. Bonnard and M. Chyba, Singular trajectories and their role in control theory, Mathématiques & Applications, vol.40, 2003.
DOI : 10.1007/978-1-4471-5102-9_49-1

B. Bonnard and E. Trélat, On the role of abnormal minimizers in sub-riemannian geometry, Annales de la facult?? des sciences de Toulouse Math??matiques, vol.10, issue.3, pp.10-405, 2001.
DOI : 10.5802/afst.998

URL : https://hal.archives-ouvertes.fr/hal-00086308

E. Cartan, Les syst??mes de Pfaff, ?? cinq variables et les ??quations aux d??riv??es partielles du second ordre, Annales scientifiques de l'??cole normale sup??rieure, vol.27, pp.109-192, 1910.
DOI : 10.24033/asens.618

H. Chakir, J. P. Gauthier, and I. Kupka, Small Subriemannian Balls on R 3, J. Dynam. Control Systems, vol.2, issue.3, pp.359-421, 1996.

T. Chambrion, L. Giraldi, and A. Munnier, Optimal strokes for driftless swimmers: A general geometric approach, ESAIM: Control, Optimisation and Calculus of Variations, 2014.
DOI : 10.1051/cocv/2017012

URL : https://hal.archives-ouvertes.fr/hal-00969259

S. Childress, Mechanics of swimming and flying, 1981.
DOI : 10.1017/CBO9780511569593

O. Cots, Contrôle optimal géométrique : méthodes homotopiques et applications, 2012.

C. Gavriel and R. B. Vinter, Second Order Sufficient Conditions for Optimal Control Problems with Non-unique Minimizers: An Abstract Framework, Applied Mathematics & Optimization, vol.40, issue.3, pp.411-442, 2014.
DOI : 10.1137/S0363012999358725

URL : http://spiral.imperial.ac.uk/bitstream/10044/1/40471/2/final_2nd_order_Mar_02_2014.pdf

E. Hakavuori and E. L. Donne, Non-minimality of corners in sub-Riemannian geometry, 2015.

J. Gray and G. J. Hancock, The propulsion of sea-urchin spermatozoa, Journal of Experimental Biology, vol.32, pp.802-814, 1955.

K. R. Meyer and G. R. Hall, Introduction to Hamiltonian dynamical systems and the N -body problem, 1992.
DOI : 10.1007/978-1-4757-4073-8

R. Montgomery, A tour of subriemannian geometries, their geodesics and applications, p.91, 2002.
DOI : 10.1090/surv/091

E. Passov and Y. Or, Supplementary notes to: Dynamics of Purcell's three-link microswimmer with a passive elastic tail, EPJ E, vol.35, pp.1-9, 2012.

E. M. Purcell, Life at low Reynolds number, American Journal of Physics, vol.45, issue.1, pp.3-11, 1977.
DOI : 10.1119/1.10903

J. Rouot, Méthodes géométriques et numériques en contrôle optimal et applications au transfert orbital poussée faible etàetà la nagè a faible nombre de Reynolds, 2016.

Y. L. Sachkov, Symmetries of flat rank two distributions and sub-Riemannian structures, Trans. Amer. Math. Soc. n, vol.2, pp.356-457, 2004.

D. Takagi, Swimming with stiff legs at low Reynolds number, Physical Review E, vol.138, issue.2, 2015.
DOI : 10.1137/S0036144504445133

R. B. Vinter, Optimal control, Systems & Control, Foundations & Applications, p.507, 2000.

Q. Wang and J. L. Speyer, Necessary and sufficient conditions for local optimality of a periodic process, SIAM J. Control Optim. n, vol.2, pp.28-482, 1990.

M. Zhitomirski?-i, Typical singularities of differential 1-forms and Pfaffian equations, p.113, 1992.