-
1
-
-
0000877933
-
Instability of dynamical systems with several degrees of freedom
-
V. I. Arnold, Instability of dynamical systems with several degrees of freedom, Sov. Math. Doklady, 5 (1964), 581-585.
-
(1964)
Sov. Math. Doklady
, vol.5
, pp. 581-585
-
-
Arnold, V.I.1
-
3
-
-
56349153415
-
The dynamics of pseudographs in convex hamiltonian systems
-
P. Bernard, The Dynamics of Pseudographs in Convex Hamiltonian Systems, J. Amer. Math. Soc., 21 (2008), 615-669.
-
(2008)
J. Amer. Math. Soc.
, vol.21
, pp. 615-669
-
-
Bernard, P.1
-
4
-
-
0041413100
-
Drift in phase space: A new variational mechanism with optimal diffusion time
-
DOI 10.1016/S0021-7824(03)00032-1, PII S0021782403000321
-
M. Berti, L. Biasco and P. Bolle, Drift in phase space: a new variational mechanism with optimal diffusion time, J. Math. Pures Appl., 82 (2003), 613-664. (Pubitemid 36913798)
-
(2003)
Journal des Mathematiques Pures et Appliquees
, vol.82
, Issue.6
, pp. 613-664
-
-
Berti, M.1
Biasco, L.2
Bolle, P.3
-
5
-
-
34250588943
-
Surface transformations and their dynamical applications
-
G. D. Birkhoff, Surface transformations and their dynamical applications, Acta Math., 43 (1922), 111-229
-
(1922)
Acta Math.
, vol.43
, pp. 111-229
-
-
Birkhoff, G.D.1
-
7
-
-
0000949990
-
Sur Quelques Courbes Fermées Remarquables
-
G. D. Birkhoff, Sur quelques courbes fermées remarquables, Bull. Soc. Math. de France, 60 (1932), 1-26
-
(1932)
Bull. Soc. Math. de France
, vol.60
, pp. 1-26
-
-
Birkhoff, G.D.1
-
10
-
-
21844490275
-
A geometric criterion for positive topological entropy
-
K. Burns and H. Weiss, A geometric criterion for positive topological entropy, Comm. Math. Phys., 172 (1995), 95-118.
-
(1995)
Comm. Math. Phys.
, vol.172
, pp. 95-118
-
-
Burns, K.1
Weiss, H.2
-
11
-
-
33744991766
-
Existence of diffusion orbits in a priori unstable Hamiltonian systems
-
C.-Q. Cheng and J. Yan, Existence of diffusion orbits in a priori unstable Hamiltonian systems, J. Differential Geom., 67 (2004), 457-517. (Pubitemid 43863248)
-
(2004)
Journal of Differential Geometry
, vol.67
, Issue.3
, pp. 457-517
-
-
Cheng, C.-Q.1
Yan, J.2
-
13
-
-
0002429115
-
Drift and diffusion in phase space
-
L. Chierchia and G. Gallavotti, Drift and diffusion in phase space, Annales de l'I.H.P., section A, tome, 60 (1994), 1-144.
-
(1994)
Annales de l'I.H.P, Section A
, vol.60
, pp. 1-144
-
-
Chierchia, L.1
Gallavotti, G.2
-
14
-
-
0000883588
-
Low energy transit orbits in the restricted three-body problem
-
C. Conley, Low Energy Transit Orbits in the Restricted Three-Body Problem, SIAM Journal of Applied Mathematics, 16 (1968), 732-746.
-
(1968)
SIAM Journal of Applied Mathematics
, vol.16
, pp. 732-746
-
-
Conley, C.1
-
15
-
-
84864617747
-
Hamiltonian chaos
-
Dubois ed.
-
J. Cresson, Hamiltonian chaos, in "AIP Conf. Proc 517," Dubois ed. (2000), 510-525.
-
(2000)
AIP Conf. Proc 517
, pp. 510-525
-
-
Cresson, J.1
-
16
-
-
30344453375
-
A geometric mechanism for diffusion in hamiltonian systems overcoming the large gap problem: heuristics and rigorous verifications on a model
-
A. Delshams, R. de la Llave and T. M. Seara, A geometric mechanism for diffusion in hamiltonian systems overcoming the large gap problem: heuristics and rigorous verifications on a model, Memoirs of the American Mathematical Society, 179 (2006), 1-141.
-
(2006)
Memoirs of the American Mathematical Society
, vol.179
, pp. 1-141
-
-
Delshams, A.1
De La Llave, R.2
Seara, T.M.3
-
17
-
-
33645884133
-
Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows
-
DOI 10.1016/j.aim.2005.03.005, PII S0001870805000861
-
A. Delshams, R. de la Llave and T. M. Seara, Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows, Advances in Mathematics, 202 (2006), 64-188. (Pubitemid 43574721)
-
(2006)
Advances in Mathematics
, vol.202
, Issue.1
, pp. 64-188
-
-
Delshams, A.1
De La Llave, R.2
Seara, T.M.3
-
18
-
-
37549070397
-
Geometric properties of the scattering map of a normally hyperbolic invariant manifold
-
A. Delshams, R. de la Llave and T. M. Seara, Geometric properties of the scattering map of a normally hyperbolic invariant manifold, Advances in Mathematics, 217 (2008), 1096-1153.
-
(2008)
Advances in Mathematics
, vol.217
, pp. 1096-1153
-
-
Delshams, A.1
De La Llave, R.2
Seara, T.M.3
-
19
-
-
79955948772
-
Geometric approaches to the problem of instability in hamiltonian systems. An informal presentation
-
(Eds. W. Craig) Springer, Dordrecht
-
A. Delshams, M. Gidea, R. de la Llave and T. M. Seara, Geometric approaches to the problem of instability in Hamiltonian systems. An informal presentation, in "Hamiltonian Dynamical Systems and Applications (Eds. W. Craig)," Springer, Dordrecht, 2008.
-
(2008)
Hamiltonian Dynamical Systems and Applications
-
-
Delshams, A.1
Gidea, M.2
De La Llave, R.3
Seara, T.M.4
-
20
-
-
0002936068
-
Orbit structure near trajectories biasymptotic to invariant tori
-
R. Devaney and Z. Nitecki (eds.) Marcel Dekker
-
R. Easton, Orbit Structure near Trajectories Biasymptotic to Invariant Tori, in "Classical Mechanics and Dynamical Systems," R. Devaney and Z. Nitecki (eds.), Marcel Dekker, 1981, 55-67.
-
(1981)
Classical Mechanics and Dynamical Systems
, pp. 55-67
-
-
Easton, R.1
-
21
-
-
0001711093
-
Homoclinic phenomena for orbits doubly asymptotic to an invariant three-sphere
-
R. Easton and R. McGehee, Homoclinic phenomena for orbits doubly asymptotic to an invariant three-sphere, Indiana Univ. Math. J., 28 (1979), 211-240.
-
(1979)
Indiana Univ. Math. J.
, vol.28
, pp. 211-240
-
-
Easton, R.1
McGehee, R.2
-
22
-
-
0034258283
-
Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma
-
E. Fontich and P. Martín, Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma, Nonlinearity, 13 (2000), 1561-1593.
-
(2000)
Nonlinearity
, vol.13
, pp. 1561-1593
-
-
Fontich, E.1
Martín, P.2
-
23
-
-
33644518721
-
Topological methods in the instability problem of Hamiltonian systems
-
DOI 10.3934/dcds.2006.14.295
-
M. Gidea and R. de la Llave, Topological Methods in the Instability Problem of Hamiltonian Systems, Discrete and Continuous Dynamical Systems-Series A, 14 (2006), 295-328. (Pubitemid 43294314)
-
(2006)
Discrete and Continuous Dynamical Systems
, vol.14
, Issue.2
, pp. 295-328
-
-
Gidea, M.1
De La Llave, R.2
-
24
-
-
0041513381
-
Topologically crossing heteroclinic connections to invariant tori
-
DOI 10.1016/S0022-0396(03)00065-2
-
M. Gidea and C. Robinson, Topologically crossing heteroclinic connections to invariant tori, Jour. Diff. Equat., 193 (2003), 49-74. (Pubitemid 37006940)
-
(2003)
Journal of Differential Equations
, vol.193
, Issue.1
, pp. 49-74
-
-
Gidea, M.1
Robinson, C.2
-
25
-
-
34249311964
-
Shadowing orbits for transition chains of invariant tori alternating with Birkhoff zones of instability
-
M. Gidea and C. Robinson, Shadowing orbits for transition chains of invariant tori alternating with Birkhoff zones of instability, Nonlinearity, 20 (2007), 1115-1143.
-
(2007)
Nonlinearity
, vol.20
, pp. 1115-1143
-
-
Gidea, M.1
Robinson, C.2
-
26
-
-
0033196554
-
Converse KAM theory for monotone positive symplectomorphisms
-
A. Haro, Converse KAM theory for monotone positive symplectomorphisms, Nonlinearity, 12 (1999), 1299-1322.
-
(1999)
Nonlinearity
, vol.12
, pp. 1299-1322
-
-
Haro, A.1
-
28
-
-
84971916727
-
A method for proving that monotone twist maps have no invariant circles
-
I. Jungreis, A method for proving that monotone twist maps have no invariant circles, Ergodic Theory. Dynam. Systems 11 (1991), 79-84.
-
(1991)
Ergodic Theory. Dynam. Systems
, vol.11
, pp. 79-84
-
-
Jungreis, I.1
-
29
-
-
30344463256
-
Geometric proofs of mather's accelerating and connecting theorems
-
S. Bezuglyi and S. Kolyada (eds.), London Mathematical Society, Lecture Notes Series, Cambridge University Press
-
V. Kaloshin, Geometric proofs of Mather's accelerating and connecting theorems, in "Topics in Dynamics and Ergodic Theory," S. Bezuglyi and S. Kolyada (eds.), London Mathematical Society, Lecture Notes Series, Cambridge University Press, 2003.
-
(2003)
Topics in Dynamics and Ergodic Theory
-
-
Kaloshin, V.1
-
30
-
-
34249297203
-
Diffusion times and stability exponents for nearly integrable analytic systems
-
P. Lochak and J-P. Marco, Diffusion times and stability exponents for nearly integrable analytic systems, Central European Journal of Mathematics, 3 (2005), 342-397.
-
(2005)
Central European Journal of Mathematics
, vol.3
, pp. 342-397
-
-
Lochak, P.1
Marco, J.-P.2
-
32
-
-
84926873799
-
Non-existence of invariant circles
-
J. Mather, Non-existence of invariant circles, Ergod. Th. & Dyn. Sys., 4 (1984), 301-309.
-
(1984)
Ergod. Th. & Dyn. Sys.
, vol.4
, pp. 301-309
-
-
Mather, J.1
-
33
-
-
0003582538
-
Hamiltonian mechanics and the N-body problem
-
Springer-Verlag, Berlin
-
K. R. Meyer and R. Hall, "Hamiltonian Mechanics and the N-Body Problem," Texts in Applied Mathematics Science, Springer-Verlag, Berlin, 1992.
-
(1992)
Texts in Applied Mathematics Science
-
-
Meyer, K.R.1
Hall, R.2
-
34
-
-
27844448560
-
Generic drift on cantor sets of annuli
-
R. Moeckel, Generic Drift on Cantor Sets of Annuli, Contemporary Math., 292 (2002), 163-171.
-
(2002)
Contemporary Math.
, vol.292
, pp. 163-171
-
-
Moeckel, R.1
-
35
-
-
0038690325
-
Smoothing a topological manifold
-
DOI 10.1016/S0166-8641(01)00255-3, PII S0166864101002553
-
C. Pugh, Smoothing a topological manifold, Topology and its Applications, 124 (2002), 487-503. (Pubitemid 36794780)
-
(2002)
Topology and Its Applications
, vol.124
, Issue.3
, pp. 487-503
-
-
Pugh, C.C.1
-
36
-
-
0041546089
-
Linearization of normally hyperbolic diffeomorphisms and flows
-
C. Pugh and M. Shub, Linearization of Normally Hyperbolic Diffeomorphisms and Flows, Inventiones Math., 10 (1970), 187-198.
-
(1970)
Inventiones Math.
, vol.10
, pp. 187-198
-
-
Pugh, C.1
Shub, M.2
-
37
-
-
0041919134
-
Symbolic dynamics for transition tori
-
C. Robinson, Symbolic Dynamics for Transition Tori, Contemporary Math., 292 (2002), 199-208.
-
(2002)
Contemporary Math.
, vol.292
, pp. 199-208
-
-
Robinson, C.1
-
38
-
-
84864596499
-
-
Personal communication
-
C. Siḿ, Personal communication.
-
-
-
Simó, C.1
-
39
-
-
3543092733
-
Covering relations for multidimensional dynamical systems
-
DOI 10.1016/j.jde.2004.03.013, PII S0022039604000944
-
P. Zgliczyński and M. Gidea, Covering relations for multidimensional dynamical systems-I, Journal of Differential Equations, 202 (2004), 32-58. (Pubitemid 39025510)
-
(2004)
Journal of Differential Equations
, vol.202
, Issue.1
, pp. 32-58
-
-
Zgliczynski, P.1
Gidea, M.2
-
40
-
-
0001472437
-
Arnold diffusion: A variational construction
-
(Berlin, 1998), Doc. Math., Extra Vol. II
-
Z. Xia, Arnold diffusion: a variational construction, in "Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998)," Doc. Math., Extra Vol. II, 867-877.
-
Proceedings of the International Congress of Mathematicians
, vol.1
, pp. 867-877
-
-
Xia, Z.1
|