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	Homoclinic connections with many loops near a $0^2 iw$ resonant fixed point for Hamiltonian systems Tiphaine Jézéquel , Patrick Bernard , Eric Lombardi 2014 Pré-publication, Document de travail hal-01045008v1
	Regularization of subsolutions in discrete weak KAM theory Patrick Bernard , Maxime Zavidovique 2012 Pré-publication, Document de travail hal-00865241v1

	Non-degeneracy of closed orbits for generic potentials Patrick Bernard Journal de l'École polytechnique — Mathématiques, 2024, 11, pp.363-393. ⟨10.5802/jep.255⟩ Article dans une revue hal-04336579v2
	Normal form near orbit segments of convex Hamiltonian systems. Shahriar Aslani , Patrick Bernard International Mathematics Research Notices, 2022, 11, pp.8196-8208. ⟨10.1093/imrn/rnaa344⟩ Article dans une revue hal-02550940v3
	Cauchy and uniform temporal functions of globally hyperbolic cone fields Patrick Bernard , Stefan Suhr Proceedings of the American Mathematical Society, 2020, 148, pp.4951-4966 Article dans une revue hal-02129166v2
	Lyapounov Functions of closed Cone Fields: from Conley Theory to Time Functions. Patrick Bernard , Stefan Suhr Communications in Mathematical Physics, 2018, 359 (2), pp.467-498. ⟨10.1007/s00220-018-3127-7⟩ Article dans une revue hal-01487859v3
	Smoothing causal functions Patrick Bernard , Stefan Suhr Journal of Physics: Conference Series, 2018, 968, pp.012001. ⟨10.1088/1742-6596/968/1/012001⟩ Article dans une revue hal-01633180v2
	Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders Patrick Bernard , K Kaloshin , K Zhang Acta Mathematica, 2017, 217 (1), pp.1-79. ⟨10.1007/s11511-016-0141-5⟩ Article dans une revue hal-01435608v1
	Homoclinic orbits with many loops near a $0^2 i\omega$ resonant fixed point of Hamiltonian systems Tiphaine Jézéquel , Patrick Bernard , Eric Lombardi Discrete and Continuous Dynamical Systems - Series A, 2016, 36 (6), pp.3153-3225. ⟨10.3934/dcds.2016.36.xx⟩ Article dans une revue hal-01251087v1
	An entropic characterization of the flat metrics on the two torus Patrick Bernard , Clémence Labrousse Geometriae Dedicata, 2016, 180 (1), pp.187 - 201. ⟨10.1007/s10711-015-0098-0⟩ Article dans une revue hal-00999563v2
	Relationship between H2 sorption properties and aqueous corrosion mechanisms in A2Ni7 hydride forming alloys (A = Y, Gd or Sm) Véronique Charbonnier , Judith Monnier , Junxian Zhang , Valérie Paul-Boncour , Suzanne Joiret Journal of Power Sources, 2016, 326, pp.146-155. ⟨10.1016/j.jpowsour.2016.06.126⟩ Article dans une revue hal-01344775v1
	Formes normales de champs de vecteurs Patrick Bernard Gazette des Mathématiciens, 2016, 148 Article dans une revue hal-01435605v1
	Electrochemical Properties and Dissolution Mechanism of A2Ni7 Hydrides (A=Y, Gd, La–Sm) Beatriz Puga , Suzanne Joiret , Vincent Vivier , Véronique Charbonnier , Habiba Guerrouj ChemElectroChem, 2015, 2 (9), pp.1321-1330. ⟨10.1002/celc.201500163⟩ Article dans une revue hal-01224847v1
	Some remarks on Thom's Transversality Theorem Patrick Bernard , Vito Mandorino Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2015, XIV (2), pp.631-386. ⟨10.2422/2036-2145.201205_007⟩ Article dans une revue hal-00713024v2
	Semi-concave singularities and the Hamilton-Jacobi equation Patrick Bernard Regular and Chaotic Dynamics, 2013, 18 (6), pp.674-685. ⟨10.1134/S1560354713060075⟩ Article dans une revue hal-00999547v1
	Regularization of Subsolutions in Discrete Weak KAM Theory Patrick Bernard , Maxime Zavidovique Canadian Journal of Mathematics, 2013, 65, pp.740-756. ⟨10.4153/CJM-2012-059-3⟩ Article dans une revue hal-00678699v3
	The Lax–Oleinik semi-group: a Hamiltonian point of view Patrick Bernard Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2012, 142 (6), pp.1131-1177. ⟨10.1017/S0308210511000059⟩ Article dans une revue hal-00678990v2
	A geometric definition of the Mãné-Mather set and a Theorem of Marie-Claude Arnaud Patrick Bernard , Joana Santos Mathematical Proceedings of the Cambridge Philosophical Society, 2012, 152 (1), pp.167-178. ⟨10.1017/S0305004111000685⟩ Article dans une revue hal-00678709v3
	On the number of Mather measures of Lagrangian systems Patrick Bernard Archive for Rational Mechanics and Analysis, 2010, 197 (3), pp.1011-1031. ⟨10.1007/s00205-009-0289-7⟩ Article dans une revue hal-00448263v2
	A geometric definition of the Aubry-Mather set Patrick Bernard , Joana Santos Journal of Topology and Analysis, 2010, 2 (3), pp.385-393. ⟨10.1142/S1793525310000343⟩ Article dans une revue hal-00678691v1
	Large Normally Hyperbolic Cylinders in a priori Stable Hamiltonian Systems Patrick Bernard Annales de l'Institut Henri Poincaré, 2010, 11 (5), pp.929-942. ⟨10.1007/s00023-010-0040-9⟩ Article dans une revue hal-00438208v3
	Lasry-Lions Regularization and a Lemma of Ilmanen Patrick Bernard Rendiconti del Seminario Matematico della Università di Padova, 2010, 124, pp.221-229. ⟨10.4171/RSMUP/124-15⟩ Article dans une revue hal-00448255v2
	On the Conley decomposition of Mather sets Patrick Bernard Revista Matemática Iberoamericana, 2010, 26 (1), pp.115-132. ⟨10.4171/RMI/596⟩ Article dans une revue hal-00294640v3
	Young measures, Cartesian maps, and polyconvexity Patrick Bernard , Ugo Bessi Journal of the Korean Mathematical Society, 2010, 47 (2), pp.331-350. ⟨10.4134/JKMS.2010.47.2.331⟩ Article dans une revue hal-00294644v2
	Young measure, superposition and transport Patrick Bernard Indiana University Mathematics Journal, 2008, 57 (1), pp.247-276. ⟨10.1512/iumj.2008.57.3163⟩ Article dans une revue hal-00124907v3
	Uniqueness of signed measures solving the continuity equation for Osgood vector fields Luigi Ambrosio , Patrick Bernard Rendiconti Lincei. Matematica e Applicazioni, 2008, 19 (3), pp.237--245. ⟨10.4171/RLM/522⟩ Article dans une revue hal-00294648v1
	A generic property of families of Lagrangian systems Patrick Bernard , Gonzalo Contreras Annals of Mathematics, 2008, 167 (3), pp.1-10. ⟨10.4007/annals.2008.167.1099⟩ Article dans une revue hal-00294671v1
	The dynamics of pseudographs in convex Hamiltonian systems Patrick Bernard Journal of the American Mathematical Society, 2008, 21 (3), pp.615-669. ⟨10.1090/S0894-0347-08-00591-2⟩ Article dans une revue hal-00003588v2
	Existence of $C^{1,1}$ critical sub-solutions of the Hamilton-Jacobi equation on compact manifolds Patrick Bernard Annales Scientifiques de l'École Normale Supérieure, 2007, 40 (3), pp.445-452 Article dans une revue hal-00014965v4
	Symplectic aspects of Aubry-Mather theory Patrick Bernard Duke Mathematical Journal, 2007, 136 (3), pp.401-420. ⟨10.1215/S0012-7094-07-13631-7⟩ Article dans une revue hal-00005069v1
	Smooth critical sub-solutions of the Hamilton-Jacobi equation Patrick Bernard Mathematical Research Letters, 2007, 14 (3), pp.503 - 511. ⟨10.4310/MRL.2007.v14.n3.a14⟩ Article dans une revue hal-00014966v2
	Optimal mass transportation and Mather theory Patrick Bernard , Boris Buffoni Journal of the European Mathematical Society, 2007, 9, pp.85-121. ⟨10.4171/JEMS/74⟩ Article dans une revue hal-00003587v3
	Weak KAM pairs and Monge-Kantorovich duality Patrick Bernard , Boris Buffoni Advanced Studies in Pure Mathematics., 2007, Asymptotic analysis and singularities : elliptic and parabolic PDEs and related problems, 47 (2), pp.397-420 Article dans une revue hal-00014963v2
	The Monge problem for supercritical Mane potentials on compact manifolds Patrick Bernard , Boris Buffoni Advances in Mathematics, 2006, 207, pp.691-706. ⟨10.1016/j.aim.2006.01.003⟩ Article dans une revue hal-00004172v2
	The asymptotic behaviour of solutions of the forced Burgers equation on the circle Patrick Bernard Nonlinearity, 2005, 18, pp.101-124. ⟨10.1088/0951-7715/18/1/006⟩ Article dans une revue hal-01251197v1
	Convergence to Time-Periodic Solutions in Time-Periodic Hamilton–Jacobi Equations on the Circle Patrick Bernard , Jean-Michel Roquejoffre Communications in Partial Differential Equations, 2005, 29 (3-4), pp.457-469. ⟨10.1081/PDE-120030404⟩ Article dans une revue hal-01251188v1
	The Action Spectrum Near Positive Definite Invariant Tori Patrick Bernard Bulletin de la société mathématique de France, 2003, 131 (4), pp.603-616 Article dans une revue hal-01251171v1
	Une propriété de transfert en approximation diophantienne Patrick Bernard Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2003, XII (4), pp.453-463 Article dans une revue hal-01251176v1
	Homoclinic orbit to a center manifold Patrick Bernard Calculus of Variations and Partial Differential Equations, 2003, 17 (2), pp.121-157. ⟨10.1007/s00526-002-0162-0⟩ Article dans une revue hal-01251761v1
	Homoclinic orbits near saddle-center fixed points of Hamiltonian systems with two degrees of freedom Patrick Bernard , Clodoaldo Grotta Ragazzo , Pedro Salamao Asterisque, 2003, 286, pp.151-165 Article dans une revue hal-01251205v1
	Connecting orbits of time dependent Lagrangian systems Patrick Bernard Annales de l'Institut Fourier, 2002, 52 (5), pp.1533-1568 Article dans une revue hal-00294655v1
	Homoclinic Orbits in Families of Hypersurfaces with Hyperbolic Periodic Orbits Patrick Bernard Journal of Differential Equations, 2002, 180 (2), pp.427-452. ⟨10.1006/jdeq.2001.4062⟩ Article dans une revue hal-01250629v1
	Homoclinic orbits to invariant sets of quasi-integrable exact maps Patrick Bernard Ergodic Theory and Dynamical Systems, 2000, 20 (6), pp.1583-1601 Article dans une revue hal-01251209v1
	Perturbation d'un hamiltonien partiellement hyperbolique Patrick Bernard Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1996, 323, pp.00 Article dans une revue hal-00294674v1

	Arnold's Diffusion: from the a priori unstable to the a priori stable case. Patrick Bernard International Congress of Mathematicians, 2010, Hyderabad, India. pp.1680-1700 Communication dans un congrès hal-00678681v1
	Some remarks on the continuity equation Patrick Bernard Séminaire: Équations aux Dérivées Partielles, Ecole Polytechnique., 2008, Palaiseau, France Communication dans un congrès hal-00678723v1

	Hamiltonian Systems: Stability and Instability Theory Patrick Bernard J.-P. Francoise, G.L. Naber and Tsou S.T. Encyclopedia of Mathematical Physics, Elsevier, pp.261, 2006 Chapitre d'ouvrage hal-00294667v1

	La dynamique des systèmes hamiltoniens presque intégrables Patrick Bernard Mathématiques [math]. Université Joseph-Fourier - Grenoble I, 2004 HDR tel-00008074v1

Patrick Bernard

Présentation

Publications

Homoclinic connections with many loops near a $0^2 iw$ resonant fixed point for Hamiltonian systems

Regularization of subsolutions in discrete weak KAM theory

Non-degeneracy of closed orbits for generic potentials

Normal form near orbit segments of convex Hamiltonian systems.

Cauchy and uniform temporal functions of globally hyperbolic cone fields

Lyapounov Functions of closed Cone Fields: from Conley Theory to Time Functions.

Smoothing causal functions

Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders

Homoclinic orbits with many loops near a $0^2 i\omega$ resonant fixed point of Hamiltonian systems

An entropic characterization of the flat metrics on the two torus

Relationship between H2 sorption properties and aqueous corrosion mechanisms in A2Ni7 hydride forming alloys (A = Y, Gd or Sm)

Formes normales de champs de vecteurs

Electrochemical Properties and Dissolution Mechanism of A2Ni7 Hydrides (A=Y, Gd, La–Sm)

Some remarks on Thom's Transversality Theorem

Semi-concave singularities and the Hamilton-Jacobi equation

Regularization of Subsolutions in Discrete Weak KAM Theory

The Lax–Oleinik semi-group: a Hamiltonian point of view

A geometric definition of the Mãné-Mather set and a Theorem of Marie-Claude Arnaud

On the number of Mather measures of Lagrangian systems

A geometric definition of the Aubry-Mather set

Large Normally Hyperbolic Cylinders in a priori Stable Hamiltonian Systems

Lasry-Lions Regularization and a Lemma of Ilmanen

On the Conley decomposition of Mather sets

Young measures, Cartesian maps, and polyconvexity

Young measure, superposition and transport

Uniqueness of signed measures solving the continuity equation for Osgood vector fields

A generic property of families of Lagrangian systems

The dynamics of pseudographs in convex Hamiltonian systems

Existence of $C^{1,1}$ critical sub-solutions of the Hamilton-Jacobi equation on compact manifolds

Symplectic aspects of Aubry-Mather theory

Smooth critical sub-solutions of the Hamilton-Jacobi equation

Optimal mass transportation and Mather theory

Weak KAM pairs and Monge-Kantorovich duality

The Monge problem for supercritical Mane potentials on compact manifolds

The asymptotic behaviour of solutions of the forced Burgers equation on the circle

Convergence to Time-Periodic Solutions in Time-Periodic Hamilton–Jacobi Equations on the Circle

The Action Spectrum Near Positive Definite Invariant Tori

Une propriété de transfert en approximation diophantienne

Homoclinic orbit to a center manifold

Homoclinic orbits near saddle-center fixed points of Hamiltonian systems with two degrees of freedom

Connecting orbits of time dependent Lagrangian systems

Homoclinic Orbits in Families of Hypersurfaces with Hyperbolic Periodic Orbits

Homoclinic orbits to invariant sets of quasi-integrable exact maps

Perturbation d'un hamiltonien partiellement hyperbolique

Arnold's Diffusion: from the a priori unstable to the a priori stable case.

Some remarks on the continuity equation

Hamiltonian Systems: Stability and Instability Theory

La dynamique des systèmes hamiltoniens presque intégrables