A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds. Discrete Contin, Dyn. Syst, vol.20, issue.4, pp.801-822, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00097173
Control theory from the geometric viewpoint, 2004. ,
DOI : 10.1007/978-3-662-06404-7
Mathematical methods of classical mechanics, 1989. ,
Les systèmes hamiltoniens et leur intégrabilité, Collection SMF. Société mathématique de France, 2001. ,
A panoramic view of Riemannian geometry, 2003. ,
DOI : 10.1007/978-3-642-18245-7
Dynamical systems, 1960. ,
Integrable geodesic flows on two-dimensional surfaces. Monographs in contemporary mathematics, Consultants Bureau, 2000. ,
Conjugate and cut loci of a two-sphere of revolution with application to optimal control, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.26, issue.4, pp.1081-1098, 2009. ,
DOI : 10.1016/j.anihpc.2008.03.010
URL : https://hal.archives-ouvertes.fr/hal-00212075
Riemannian metrics on 2D-manifolds related to the Euler???Poinsot rigid body motion, ESAIM: Control, Optimisation and Calculus of Variations, vol.20, issue.3, 2014. ,
DOI : 10.1051/cocv/2013087
URL : https://hal.archives-ouvertes.fr/hal-00918587
Optimal control with applications in space and quantum dynamics, AIMS Series on Applied Mathematics . American Institute of Mathematical Sciences (AIMS), vol.5, 2012. ,
Nonisotropic 3-level quantum systems : complete solutions for minimum time and minimum energy. arXiv preprint quant-ph/0409022, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00376872
Differential continuation for regular optimal control problems, Optimization Methods and Software, vol.41, issue.6, pp.177-196, 2012. ,
DOI : 10.1145/279232.279235
Contrôle optimal géométrique : méthode homotopiques et applications, 2012. ,
Riemannian Geometry Mathematics (Birkhäuser) theory, 1992. ,
Nearly Round Spheres Look Convex, American Journal of Mathematics, vol.134, issue.1, pp.109-139, 2012. ,
DOI : 10.1353/ajm.2012.0000
URL : https://hal.archives-ouvertes.fr/hal-00923321
On Almost-Riemannian Surfaces. ArXiv e-prints, 2012. ,
DOI : 10.5802/tsg.284
URL : https://hal.archives-ouvertes.fr/hal-00676980
The cut loci and the conjugate loci on ellipsoids, manuscripta mathematica, vol.114, issue.2, pp.247-264, 2004. ,
DOI : 10.1007/s00229-004-0455-z
The Cut Loci on Ellipsoids and Certain Liouville Manifolds, Asian Journal of Mathematics, vol.14, issue.2, pp.257-290, 2010. ,
DOI : 10.4310/AJM.2010.v14.n2.a6
Geometric control theory, 1997. ,
DOI : 10.1017/CBO9780511530036
Sub-Riemannian geometry and time optimal control of three spin systems: Quantum gates and coherence transfer, Physical Review A, vol.65, issue.3, p.65, 2002. ,
DOI : 10.1103/PhysRevA.65.032301
Riemannian geometry, 1982. ,
DOI : 10.1515/9783110905120
An algorithm for solving second order linear homogeneous differential equations, Journal of Symbolic Computation, vol.2, issue.1, pp.3-43, 1986. ,
DOI : 10.1016/S0747-7171(86)80010-4
Elliptic Functions and Applications, Applied Mathematical Sciences, vol.80, 2010. ,
DOI : 10.1007/978-1-4757-3980-0
Spin dynamics, 2013. ,
Efficiencies of Double- and Triple-Resonance J Cross Polarization in Multidimensional NMR, Journal of Magnetic Resonance, Series A, vol.113, issue.1, pp.19-22, 1995. ,
DOI : 10.1006/jmra.1995.1051
Integrability of dynamical systems through differential galois theory : a practical guide Complex Analysis and Orthogonal Polynomials : Jairo Charris Seminar, Differential Algebra, p.143, 2007. ,
topology. I. Simply connected surfaces, Duke Mathematical Journal, vol.1, issue.3, pp.376-391, 1935. ,
DOI : 10.1215/S0012-7094-35-00126-0
Sur Les Lignes Geodesiques Des Surfaces Convexes, Transactions of the American Mathematical Society, vol.6, issue.3, pp.237-274, 1905. ,
DOI : 10.2307/1986219
Mathematical theory of optimal processes, 1987. ,
The geometry of total curvature on complete open surfaces, Cambridge Tracts in Mathematics, vol.159, 2003. ,
DOI : 10.1017/CBO9780511543159
Jacobi's last geometric statement extends to a wider class of Liouville surfaces, Mathematics of Computation, vol.75, issue.256, pp.1779-1808, 2006. ,
DOI : 10.1090/S0025-5718-06-01924-7
Galois Groups of Second and Third Order Linear Differential Equations, Journal of Symbolic Computation, vol.16, issue.1, pp.9-36, 1993. ,
DOI : 10.1006/jsco.1993.1032
Galois theory of linear differential equations, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 2003. ,
DOI : 10.1007/978-3-642-55750-7
Geometry, optimal control and quantum computing, p.3217947, 2006. ,
Elliptic functions and efficient control of Ising spin chains with unequal couplings, Physical Review A, vol.77, issue.3, p.32340, 2008. ,
DOI : 10.1103/PhysRevA.77.032340