Zobrazeno 1 - 10
of 39
pro vyhledávání: '"MARIE-CLAUDE ARNAUD"'
Publikováno v:
Astérisque. 416:1-31
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9da33738959f378ac9a87220e9ae558
https://doi.org/10.24033/ast.1109
https://doi.org/10.24033/ast.1109
Autor:
Marie-Claude Arnaud, Patrice Le Calvez
Publikováno v:
Comptes Rendus Mathematique. 355:914-919
We introduce a notion of Denjoy sub-system that generalizes that of the Aubry–Mather set. For such systems, we prove a result similar to Denjoy theorem (non-existence of C 2 Denjoy sub-systems), and study their Lyapunov exponents.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd30b0b58d94b5f4820fdd5e1d0f846b
https://doi.org/10.1016/j.crma.2017.07.010
https://doi.org/10.1016/j.crma.2017.07.010
Autor:
Marie-Claude Arnaud
Publikováno v:
Communications in Mathematical Physics. 343:783-810
The globally positive diffeomorphisms of the 2n-dimensional annulus are important because they represent what happens close to a completely elliptic periodic point of a symplectic diffeomorphism where the torsion is positive definite. For these globa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::854ddc61b111e9ea0e330b4f10477712
https://doi.org/10.1007/s00220-016-2599-6
https://doi.org/10.1007/s00220-016-2599-6
Autor:
Marie-Claude Arnaud, Pierre Berger
Publikováno v:
Revista Matemática Iberoamericana. 32:1295-1310
The key result of this article is key lemma: if a Jordan curve γ is invariant by a given C 1+α -diffeomorphism f of a surface and if γ carries an ergodic hyperbolic probability µ, then µ is supported on a periodic orbit. From this Lemma we deduc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4dc1d9cbeb89dcd0088b21b6d69f494d
https://doi.org/10.4171/rmi/917
https://doi.org/10.4171/rmi/917
Autor:
Marie-Claude Arnaud
Publikováno v:
Nonlinearity. 28:2731-2742
We prove the following rigidity result for the Tonelli Hamiltonians.Let T*M be the cotangent bundle of a closed manifold M endowed with its usual symplectic form. Let (Fn) be a sequence of Tonelli Hamiltonians that C0 converges on the compact subsets
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7000f7cb26b412280275dd0ddb7e6da
https://doi.org/10.1088/0951-7715/28/8/2731
https://doi.org/10.1088/0951-7715/28/8/2731
Publikováno v:
Mathematische Zeitschrift. 280:165-194
We prove that all the Tonelli Hamiltonians defined on the cotangent bundle $T^*\T^n$ of the $n$-dimensional torus that have no conjugate points are $C^0$ integrable, i.e. $T^*\T^n$ is $C^0$ foliated by a family $\Fc$ of invariant $C^0$ Lagrangian gra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c13047835a3e196576b9d044457a0a59
https://doi.org/10.1007/s00209-015-1417-8
https://doi.org/10.1007/s00209-015-1417-8
Autor:
Marie-Claude Arnaud
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 34:1811-1827
Let L be a D-dimensional submanifold of a 2D-dimensional exact symplectic manifold (M, w) and let f be a symplectic diffeomorphism onf M. In this article, we deal with the link between the dynamics of f restricted to L and the geometry of L (is L Lag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed2add25e55b8c9e5f185831a3b304a7
https://doi.org/10.3934/dcds.2014.34.1811
https://doi.org/10.3934/dcds.2014.34.1811
Autor:
Marie-Claude Arnaud
Publikováno v:
Regular and Chaotic Dynamics. 18:697-702
We prove that the set of periodic points of a generic C^1-billiard table is dense in the phase space.
6 pages
6 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8ece3ea38b74bb4f69608f4480f13ee
https://doi.org/10.1134/s1560354713060099
https://doi.org/10.1134/s1560354713060099
Autor:
Marie-Claude Arnaud
Publikováno v:
Journal of the Institute of Mathematics of Jussieu. 13:19-41
Very few things are known about the curves that are at the boundary of the instability zones of symplectic twist maps. It is known that in general they have an irrational rotation number and that they cannot be KAM curves. We address the following qu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::136004f81156a89da00d2e2dd59bd0e1
https://doi.org/10.1017/s1474748013000029
https://doi.org/10.1017/s1474748013000029
Autor:
Marie-Claude Arnaud, Andrea Venturelli
Let M be a closed and connected manifold, $$H:T^*M\times {{\mathbb {R}}}/\mathbb {Z}\rightarrow \mathbb {R}$$ a Tonelli 1-periodic Hamiltonian and $${\mathscr {L}}\subset T^*M$$ a Lagrangian submanifold Hamiltonianly isotopic to the zero section. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0b7277c1591c495109dad35d55a4850
