]. B. Abk-+-94, M. Aebischer, M. Borer, C. Kälin, H. M. Leuenberger et al., Symplectic geometry, Progress in Mathematics, vol.124, 1992.

A. Abbondandolo and R. Matveyev, How large is the shadow of a symplectic ball?, J. Topol. Anal, vol.5, issue.1, pp.87-119, 2013.

A. Abbondandolo and P. Majer, A non-squeezing theorem for convex symplectic images of the Hilbert ball, Calc. Var. Partial Differential Equations, vol.54, issue.2, pp.1469-1506, 2015.

V. Arnold, Sur une propriété topologique des applications globalement canoniques de la mécanique classique, C. R. Acad. Sci, vol.261, pp.3719-3722, 1965.

A. Banyaga, Sur la structure du groupe des difféomorphismes qui préservent une forme symplectique, Comment. Math. Helv, vol.53, issue.2, pp.174-227, 1978.

J. Bourgain, Approximation of solutions of the cubic nonlinear Schrödinger equations by finite-dimensional equations and nonsqueezing properties, Internat. Math. Res. Notices, issue.2, pp.79-88, 1994.

M. Brunella, On a theorem of Sikorav, Enseign. Math, vol.37, issue.2, pp.83-87, 1991.

J. Bustillo, A coisotropic camel theorem in symplectic topology and its effect on the Sine-Gordon equation, 2017.

M. James-colliander, G. Keel, H. Staffilani, T. Takaoka, and . Tao, Symplectic nonsqueezing of the Korteweg-de Vries flow, Acta Math, vol.195, pp.197-252, 2005.

C. C. Conley and E. Zehnder, The Birkhoff-Lewis fixed point theorem and a conjecture of V, I. Arnold. Invent. Math, vol.73, issue.1, pp.33-49, 1983.

M. Chaperon and E. Zehnder, Quelques résultats globaux en géométrie symplectique, South Rhone seminar on geometry, III (Lyon, 1983), Travaux en Cours, pp.51-121, 1984.

Y. Eliashberg and M. Gromov, Convex symplectic manifolds, Several complex variables and complex geometry, vol.52, pp.135-162, 1989.

I. Ekeland and H. Hofer, Symplectic topology and Hamiltonian dynamics, II. Math. Z, vol.203, issue.4, pp.553-567, 1990.

.. M. Ya and . Eliashberg, A theorem on the structure of wave fronts and its application in symplectic topology, Funktsional. Anal. i Prilozhen, vol.21, issue.3, pp.65-72, 1987.

O. Fabert, Floer theory for hamiltonian pde using model theory, 2018.

A. Floer, Cuplength estimates on Lagrangian intersections, Comm. Pure Appl. Math, vol.42, issue.4, pp.335-356, 1989.

A. Floer, Symplectic fixed points and holomorphic spheres, Comm. Math. Phys, vol.120, issue.4, pp.575-611, 1989.

B. Fortune, A symplectic fixed point theorem for CP n, Invent. Math, vol.81, issue.1, pp.29-46, 1985.

P. Gérard and S. Grellier, On the growth of Sobolev norms for the cubic Szego equation, Séminaire Laurent Schwartz-Équations aux dérivées partielles et applications. Année, 2014.

P. Gérard and S. Grellier, The cubic Szego equation and Hankel operators, Astérisque, issue.389, p.112, 2017.

M. Gromov, Pseudo holomorphic curves in symplectic manifolds, Invent. Math, vol.82, issue.2, pp.307-347, 1985.

L. Guth, Symplectic embeddings of polydisks, Invent. Math, vol.172, issue.3, pp.477-489, 2008.

R. Hind and E. Kerman, New obstructions to symplectic embeddings, Invent. Math, vol.196, issue.2, pp.383-452, 2014.

H. Hofer, On the topological properties of symplectic maps, Proc. Roy. Soc. Edinburgh Sect. A, vol.115, issue.1-2, pp.25-38, 1990.

H. Hofer, Symplectic capacities, Geometry of low-dimensional manifolds, vol.2, pp.15-34, 1989.

V. Humilière, Géométrie symplectique C 0 et selecteurs d'action. Habilitationà diriger des recherches, Sorbonne Université, 2018.

H. Hofer and E. Zehnder, A new capacity for symplectic manifolds, Analysis, et cetera, pp.405-427, 1990.

H. Hofer and E. Zehnder, Symplectic invariants and Hamiltonian dynamics

B. Sergej and . Kuksin, Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDEs, Comm. Math. Phys, vol.167, issue.3, pp.531-552, 1995.

S. B. Kuksin, Analysis of Hamiltonian PDEs, Oxford Lecture Series in Mathematics and its Applications, vol.19, 2000.

R. Killip, M. Visan, and X. Zhang, Finite-dimensional approximation and non-squeezing for the cubic nonlinear schrödinger equation on R 2, 2016.

F. Laudenbach and J. Sikorav, Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent, Invent. Math, vol.82, issue.2, pp.349-357, 1985.

D. Mendelson, Symplectic non-squeezing for the cubic nonlinear Klein-Gordon equation on T 3, J. Funct. Anal, vol.272, issue.7, pp.3019-3092, 2017.

D. Milinkovi?, Morse homology for generating functions of Lagrangian submanifolds, Trans. Amer. Math. Soc, vol.351, issue.10, pp.3953-3974, 1999.

D. Mcduff and D. Salamon, Oxford Graduate Texts in Mathematics, 2017.

D. Mcduff and L. Traynor, The 4-dimensional symplectic camel and related results, Symplectic geometry, vol.192, pp.169-182, 1993.

L. Nicolaescu, An invitation to Morse theory, 2011.

A. Pazy, Semigroups of linear operators and applications to partial differential equations, Applied Mathematical Sciences, vol.44, 1983.

Á. Pelayo and . San-v?-ngo, Hofer's question on intermediate symplectic capacities, Proc. Lond. Math. Soc, vol.110, issue.3, pp.787-804, 2015.

L. Rigolli, Local middle dimensional symplectic non-squeezing in the analytic setting, 2015.

D. Roumégoux, A symplectic non-squeezing theorem for BBM equation, Dyn. Partial Differ. Equ, vol.7, issue.4, pp.289-305, 2010.

S. Sandon, Generating functions in symplectic topology

J. Sikorav, Sur les immersions lagrangiennes dans un fibré cotangent admettant une phase génératrice globale, C. R. Acad. Sci. Paris Sér. I Math, vol.302, issue.3, pp.119-122, 1986.

J. Sikorav, Problèmes d'intersections et de points fixes en géométrie hamiltonienne, Comment. Math. Helv, vol.62, issue.1, pp.62-73, 1987.

A. Sukhov and A. Tumanov, Pseudoholomorphic discs and symplectic structures in Hilbert space, Topics in several complex variables, vol.662, pp.23-49, 2016.

A. Sukhov and A. Tumanov, Symplectic nonsqueezing in Hilbert space and discrete Schrödinger equations, J. Fixed Point Theory Appl, vol.18, issue.4, pp.867-888, 2016.

T. Tao, Nonlinear dispersive equations, CBMS Regional Conference Series in Mathematics. Published for the Conference Board of the Mathematical Sciences, vol.106, 2006.

D. Théret, Utilisation des fonctions génératrices en géométrie symplectique globale, 1995.

D. Théret, A complete proof of Viterbo's uniqueness theorem on generating functions, Topology Appl, vol.96, issue.3, pp.249-266, 1999.

D. Théret, A Lagrangian camel, Comment. Math. Helv, vol.74, issue.4, pp.591-614, 1999.

L. Traynor, Symplectic packing constructions, J. Differential Geom, vol.42, issue.2, pp.411-429, 1995.

C. Viterbo, Intersection de sous-variétés lagrangiennes, fonctionnelles d'action et indice des systèmes hamiltoniens, Bull. Soc. Math. France, vol.115, issue.3, pp.361-390, 1987.

C. Viterbo, Recent progress in periodic orbits of autonomous Hamiltonian systems and applications to symplectic geometry, Nonlinear functional analysis, vol.121, pp.227-250, 1987.

C. Viterbo, Symplectic topology as the geometry of generating functions, Math. Ann, vol.292, issue.4, pp.685-710, 1992.

C. Viterbo, Some remarks on Massey products, tied cohomology classes, and the Lusternik-Shnirelman category, Duke Math. J, vol.86, issue.3, pp.547-564, 1997.

C. Viterbo, Symplectic topology and Hamilton-Jacobi equations, Morse theoretic methods in nonlinear analysis and in symplectic topology, vol.217, pp.439-459, 2006.

A. Weinstein, Periodic orbits for convex Hamiltonian systems, Ann. of Math, vol.108, issue.2, pp.507-518, 1978.