Mathematical methods of classical mechanics, Graduate Texts in Mathematics, vol.60, 1989. ,
On the envelope theory " . Uspekhi Math, Nauk, vol.3, pp.31-248, 1976. ,
A correction to: Wave front evolution and equivariant morse lemma, Communications on Pure and Applied Mathematics, vol.30, issue.6, pp.29-557, 1976. ,
DOI : 10.1002/cpa.3160300607
Geometrical methods in the theory of ordinary differential equations, 1988. ,
Contact geometry and wave propagation. Monographie N ? 34 de l'Enseignement Mathématique, 1989. ,
Singularities of caustics and wave fronts, 1990. ,
DOI : 10.1007/978-94-011-3330-2
Topological invariants of plane curves and caustics. University Lecture Series, 1994. ,
Simple singularities of curves, Proc. Steklov Inst, pp.27-35, 1999. ,
Topological problems in wave propagation theory and topological economy principle in algebraic geometry, The Arnoldfest Fields Inst. Commun, vol.24, pp.39-54, 1997. ,
DOI : 10.1090/fic/024/04
Astroidal geometry of hypocycloids and the Hessian topology of hyperbolic polynomials, Russian Mathematical Surveys, vol.56, issue.6, pp.3-66, 2001. ,
DOI : 10.1070/RM2001v056n06ABEH000452
Singularity theory. I. [Reprint of Dynamical systems, VI, Encyclopaedia Math. Sci, vol.6, 1993. ,
Singularity Theory II. Applications. Dynamical systems VIII, Encyclopaedia Math. Sci, vol.39, 1993. ,
Singularities of differentiable maps. Vol. I. The classification of critical points, caustics and wave fronts, Monographs in Mathematics, vol.82, 1985. ,
Simple singularities of mappings C, 0 ? C 2, J. London Math. Soc, issue.2 3, pp.26-465, 1982. ,
On the envelope of 1-parameter families of curves tangent to a semicubic cusp, Comptes Rendus Mathematique, vol.335, issue.3, pp.249-254, 2002. ,
DOI : 10.1016/S1631-073X(02)02472-X
Singularities of envelopes of curves tangent to a semicubic cusp, To appear in Proc. of Suzdal International Conf. 2002 on Differential Equations and Dynamical Systems ,
Stable tangential families and their envelopes, Preprint of the Institut de Mathématiques de Jussieu. Chapter ,
DOI : 10.1016/j.crma.2005.09.014
URL : https://hal.archives-ouvertes.fr/hal-00002154
Simple tangential family germs and perestroikas of their envelopes, preparation. Chapter ,
DOI : 10.1016/j.bulsci.2005.03.002
Legendrian graphs and singular tangential families ,
DOI : 10.1017/s0013091504000999
The unfolding and determinacy theorems for subgroups of A and, Proc. Sympos. Pure Math, pp.233-254, 1981. ,
The unfolding and determinacy theorems for subgroups of A and K . Mem. Amer, Math. Soc, vol.50, issue.306, 1984. ,
Triplets de fonctions et stabilité des enveloppes, C. R. Acad. Sci. Paris Sér. I Math, vol.10, pp.293-509, 1981. ,
A note on the order of determination of a finitely determined germ, Inventiones Mathematicae, vol.37, issue.2, pp.127-130, 1979. ,
DOI : 10.1007/BF01403059
Singularities of projections of full intersections, Journal of Soviet Mathematics, vol.62, issue.No. 3, pp.2785-2811, 1984. ,
DOI : 10.1007/BF01084821
Singular Lagrangian varieties and their Lagrangian mappings); english transl, Sovrem. Probl. Matematiki. Noveishie Dostizheniya J. Soviet. Math, vol.33, pp.3246-3278, 1988. ,
Singularities of smooth functions and maps, 1982. ,
On the classification of germs of maps from R 2 to R 3, Proc. London Math. Soc. (3), pp.50-333, 1985. ,
Sur la théorie des enveloppes, J. Math. Pures Appl, vol.9, pp.41-177, 1962. ,
Finite Determinacy of Smooth Map-Germs, Bulletin of the London Mathematical Society, vol.13, issue.6, pp.481-539, 1981. ,
DOI : 10.1112/blms/13.6.481
Mathematical methods of classical mechanics, Graduate Texts in Mathematics, vol.60, 1989. ,
Singularities of caustics and wave fronts, 1990. ,
DOI : 10.1007/978-94-011-3330-2
Invariants and perestroikas of wave fronts on the plane, Proc. V.A. Steklov Inst, pp.11-64, 1995. ,
Singularity Theory II. Applications. Dynamical systems VIII, Encyclopaedia Math. Sci, vol.39, 1993. ,
The framed Morse complex and its invariants, Singularities and bifurcations. Adv. Soviet Math. 21 Amer, pp.93-115, 1994. ,
On Hopf's formulas for solutions of Hamilton-Jacobi equations, Nonlinear Analysis: Theory, Methods & Applications, vol.8, issue.11, pp.1373-1381, 1984. ,
DOI : 10.1016/0362-546X(84)90020-8
Singularities of viscosity solutions of Hamilton-Jacobi equations, Singularity theory and differential equations, 1999. ,
Caractérisation géométrique des solutions de minimax pour l'´ equation de Hamilton-Jacobi, Enseign. Math, issue.2, pp.49-52, 2003. ,
Generic singularities of minimax solutions to Hamilton???Jacobi equations, Journal of Geometry and Physics, vol.52, issue.4 ,
DOI : 10.1016/j.geomphys.2004.04.006
URL : https://hal.archives-ouvertes.fr/hal-00002177
The global finite structure of generic envelope loci for Hamilton???Jacobi equations, Journal of Mathematical Physics, vol.43, issue.1, pp.43-417, 2002. ,
DOI : 10.1063/1.1423400
La stratification naturelle des espaces de fonctions diff??rentiables r??elles et le th??or??me de la pseudo-isotopie, Publications math??matiques de l'IH??S, vol.14, issue.1, pp.5-173, 1970. ,
DOI : 10.1007/BF02684687
URL : http://archive.numdam.org/article/PMIHES_1970__39__5_0.pdf
Lois de conservation et géométrie symplectique, C. R. Acad. Sci. Paris, vol.312, pp.345-348, 1991. ,
Critical points of quasi-functions and generating families of legendrian manifolds 56-69 ; traduction en anglais in Funct, Funktsional. Anal. i Prilozhen. Anal. Appl, vol.30, issue.22, pp.30-118, 1996. ,
New Invariants of Legendrian Knots, European Congress of Mathematics Progress in Mathematics, vol.202, 2000. ,
DOI : 10.1007/978-3-0348-8266-8_45
Arnold's four cusps conjecture and invariants of legendrian knots ,
Viscosity solutions of Hamilton-Jacobi equations, Transactions of the American Mathematical Society, vol.277, issue.1, pp.1-42, 1983. ,
DOI : 10.1090/S0002-9947-1983-0690039-8
Modern geometry?methods and applications. Part III. Introduction to homology theory, Graduate Texts in Mathematics, vol.124, 1990. ,
DOI : 10.1007/978-1-4612-4474-5
A theorem on the structure of wave fronts and its application in symplectic topology " . Functional Anal, Appl, vol.21, issue.3, pp.227-232, 1987. ,
Whitney singularities of solutions of partial differential equations, Journal of Geometry and Physics, vol.15, issue.4, pp.353-368, 1995. ,
DOI : 10.1016/0393-0440(94)00013-T
Plane curves, wavefronts and Legendrian knots, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.359, issue.1784, pp.1497-1510, 2001. ,
DOI : 10.1098/rsta.2001.0837
Bifurcations of shock waves for viscosity solutions of Hamilton-Jacobi equations of one space variable, Bull. Sci. Math, vol.121, issue.8, pp.619-667, 1997. ,
Singularités de minimax et solutions faibles d'´ equations aux dérivées partielles, 1993. ,
Morse theory, 1963. ,
Probl??mes d'intersections et de points fixes en g??om??trie hamiltonienne, Commentarii Mathematici Helvetici, vol.62, issue.1, pp.62-73, 1987. ,
DOI : 10.1007/BF02564438
URL : http://www.e-periodica.ch/cntmng?pid=com-001:1987:62::3
A complete proof of Viterbo's uniqueness Theorem on generating functions " . Topology and its appl, pp.249-266, 1999. ,
Introduction to topology, AMS STML, vol.14, 2001. ,
DOI : 10.1090/stml/014
Symplectic topology as the geometry of generating functions, Mathematische Annalen, vol.100, issue.1, pp.685-710, 1992. ,
DOI : 10.1007/BF01444643
Solutions d'´ equations d'Hamilton-Jacobi et géométrie symplectique, Séminaire sur leséquationsleséquations aux dérivées partielles, 1996. ,