-
1
-
-
0000877933
-
Instability of dynamical systems with several degrees of freedom
-
V.I. Arnold, Instability of dynamical systems with several degrees of freedom, Soviet Math. Dokl. 5 (1964), 581-685.
-
(1964)
Soviet Math. Dokl.
, vol.5
, pp. 581-685
-
-
Arnold, V.I.1
-
2
-
-
0001630771
-
An approach to Arnold's diffusion through the Calculus of Variations
-
T.M.A.
-
U. Bessi, An approach to Arnold's diffusion through the Calculus of Variations, Nonlinear Analysis, T.M.A. 26 (1996), 1115-1135.
-
(1996)
Nonlinear Analysis
, vol.26
, pp. 1115-1135
-
-
Bessi, U.1
-
3
-
-
0004225413
-
-
Wiley, Chichester
-
P.M. Cohn, "Algebra," vol 1., second edition, Wiley, Chichester, 1982.
-
(1982)
"Algebra," Vol 1., Second Edition
, vol.1
-
-
Cohn, P.M.1
-
5
-
-
0000330238
-
A λ-lemma for partially hyperbolic tori and the obstruction property
-
J. Cresson, A λ-lemma for partially hyperbolic tori and the obstruction property, Letters in Math. Phys. 42 (1997), 363-377.
-
(1997)
Letters in Math. Phys.
, vol.42
, pp. 363-377
-
-
Cresson, J.1
-
7
-
-
0031494862
-
Exponentially small splitting of separatrices under fast quasiperiodic forcing
-
A. Delshams, A. Jorba, V. Gelfreich and T. Martínez-Seara, Exponentially small splitting of separatrices under fast quasiperiodic forcing, Comm. Math. Phys. 189 (1997), 35-71.
-
(1997)
Comm. Math. Phys.
, vol.189
, pp. 35-71
-
-
Delshams, A.1
Jorba, A.2
Gelfreich, V.3
Martínez-Seara, T.4
-
8
-
-
0002484921
-
Stabilité ou instabilité des points fixes elliptiques
-
R. Douady, Stabilité ou instabilité des points fixes elliptiques, Annal. Sci. de l'ENS, 21 (1988), 1-46.
-
(1988)
Annal. Sci. de l'ENS
, vol.21
, pp. 1-46
-
-
Douady, R.1
-
9
-
-
16244397660
-
Exemple de point fixe elliptique non topologiquement stable en dimension 4
-
C.R. Acad. Sc. Paris
-
R. Douady and P. Le Calvez, Exemple de point fixe elliptique non topologiquement stable en dimension 4, Problèmes Mathématiques de la Mécanique, C.R. Acad. Sc. Paris, 296 (1982), 895-898.
-
(1982)
Problèmes Mathématiques de la Mécanique
, vol.296
, pp. 895-898
-
-
Douady, R.1
Le Calvez, P.2
-
10
-
-
0343390372
-
Arnold diffusion in perturbations of analytic exact symplectic maps
-
T.M.A.
-
E. Fontich and P. Martín, Arnold diffusion in perturbations of analytic exact symplectic maps, Nonlinear Analysis, T.M.A. 42 (2000),. 1397-1412.
-
(2000)
Nonlinear Analysis
, vol.42
, pp. 1397-1412
-
-
Fontich, E.1
Martín, P.2
-
11
-
-
0003053373
-
On the conservation of hyperbolic invariant tori for Hamiltonian systems
-
S. Graff, On the conservation of hyperbolic invariant tori for Hamiltonian systems, J. Differential Equations, 15 (1974), 1-69.
-
(1974)
J. Differential Equations
, vol.15
, pp. 1-69
-
-
Graff, S.1
-
12
-
-
0000044573
-
Stable Manifolds and Hyperbolic Sets
-
AMS, Providence, R.I.
-
M.W. Hirsch and C.C. Pugh, Stable Manifolds and Hyperbolic Sets, in "Proc. Symp. in Pure Math." vol. 14, AMS, Providence, R.I. (1970), 133-164.
-
(1970)
Proc. Symp. in Pure Math.
, vol.14
, pp. 133-164
-
-
Hirsch, M.W.1
Pugh, C.C.2
-
13
-
-
0003706768
-
Invariant manifolds
-
Springer, Berlin
-
M.W. Hirsch, C.C. Pugh and M. Shub, "Invariant manifolds," Lecture Notes in Mathematics, Springer, Berlin, 1977.
-
(1977)
Lecture Notes in Mathematics
-
-
Hirsch, M.W.1
Pugh, C.C.2
Shub, M.3
-
14
-
-
0001837697
-
On the smoothness of the composition map
-
M.C. Irwin, On the smoothness of the composition map, Quart. J. Math. Oxford, 23 (1972), 113-133.
-
(1972)
Quart. J. Math. Oxford
, vol.23
, pp. 113-133
-
-
Irwin, M.C.1
-
15
-
-
0001957192
-
Effective speed of Arnold's diffusion and small denominators
-
P. Lochak, Effective speed of Arnold's diffusion and small denominators, Phys. Lett. A, 143 (1990), 39-42.
-
(1990)
Phys. Lett. A
, vol.143
, pp. 39-42
-
-
Lochak, P.1
-
16
-
-
0001514616
-
Estimates in the theorem of N. N. Nekhoroshev for systems with a quasi-convex Hamiltonian
-
P. Lochak and A.I. Neishtadt, Estimates in the theorem of N. N. Nekhoroshev for systems with a quasi-convex Hamiltonian, Chaos, 2 (1992), 495-499.
-
(1992)
Chaos
, vol.2
, pp. 495-499
-
-
Lochak, P.1
Neishtadt, A.I.2
-
17
-
-
0001449034
-
Transition le long des chaînès de tores invariants pour les systèmes hamiltoniens analytiques
-
J.P. Marco, Transition le long des chaînès de tores invariants pour les systèmes hamiltoniens analytiques, Annales de l'I.H.P., Physique Théorique, 64 (1996), 205-252.
-
(1996)
Annales de L'I.H.P., Physique Théorique
, vol.64
, pp. 205-252
-
-
Marco, J.P.1
-
19
-
-
84908024292
-
An exponential estimate of the time of stability of nearly-integrable Hamiltonian systems
-
N.N. Nekhoroshev, An exponential estimate of the time of stability of nearly-integrable Hamiltonian systems, Russian Math. Surveys, 32 (1977), 1-65.
-
(1977)
Russian Math. Surveys
, vol.32
, pp. 1-65
-
-
Nekhoroshev, N.N.1
-
21
-
-
0001193375
-
Nekhoroshev estimates for quasi-convex Hamiltonian systems
-
J. Pöschel, Nekhoroshev estimates for quasi-convex Hamiltonian systems, Math. Z. 213 (1993), 187-217.
-
(1993)
Math. Z.
, vol.213
, pp. 187-217
-
-
Pöschel, J.1
-
22
-
-
0002682326
-
Existence of exponentially small separatrix splittings and homoclinics connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems
-
M. Rudnev and S. Wiggins, Existence of exponentially small separatrix splittings and homoclinics connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems, Physica D, 114 (1998), 3-80.
-
(1998)
Physica D
, vol.114
, pp. 3-80
-
-
Rudnev, M.1
Wiggins, S.2
-
23
-
-
0002761035
-
Averaging under fast quasiperiodic forcing
-
J. Seimenis, editor, "Hamiltonian Mechanichs: Integrability and Chaotic Behavior," (ed. J. Seimenis)
-
C. Simó, Averaging under fast quasiperiodic forcing, in J. Seimenis, editor, "Hamiltonian Mechanichs: Integrability and Chaotic Behavior," (ed. J. Seimenis) vol. 331 NATO Adv. Sci. Inst. Ser. Phys. (1994), 13-34.
-
(1994)
NATO Adv. Sci. Inst. Ser. Phys.
, vol.331
, pp. 13-34
-
-
Simó, C.1
-
24
-
-
3042926459
-
The mechanism of destruction of resonance tori of hamiltonian systems
-
D. V. Treshev, The mechanism of destruction of resonance tori of hamiltonian systems, Math USSR Sbornik, 68 (1991), 181-203.
-
(1991)
Math USSR Sbornik
, vol.68
, pp. 181-203
-
-
Treshev, D.V.1
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