-
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, 5:581-585, 1964.
-
(1964)
Sov. Math. Doklady
, vol.5
, pp. 581-585
-
-
Arnold, V.I.1
-
3
-
-
0041413100
-
Drift in phase space: A new variational mechanism with optimal diffusion time
-
M. Berti, L. Biasco, and P. Bolle. Drift in phase space: a new variational mechanism with optimal diffusion time. J. Math. Pures Appl. (9), 82(6):613-664, 2003.
-
(2003)
J. Math. Pures Appl. (9)
, vol.82
, Issue.6
, pp. 613-664
-
-
Berti, M.1
Biasco, L.2
Bolle, P.3
-
4
-
-
21844490275
-
A geometric criterion for positive topological entropy
-
K. Burns and H. Weiss. A geometric criterion for positive topological entropy. Comm. Math. Phys., 172(1):95-118, 1995.
-
(1995)
Comm. Math. Phys.
, vol.172
, Issue.1
, pp. 95-118
-
-
Burns, K.1
Weiss, H.2
-
6
-
-
0012097571
-
A universal instability of many-dimensional oscillator systems
-
B.V. Chirikov. A universal instability of many-dimensional oscillator systems. Phys. Rep., 52(5):264-379, 1979.
-
(1979)
Phys. Rep.
, vol.52
, Issue.5
, pp. 264-379
-
-
Chirikov, B.V.1
-
7
-
-
0037455194
-
Symbolic dynamics and Arnold diffusion
-
J. Cresson. Symbolic dynamics and Arnold diffusion. J. Differential Equations, 187(2):269-292, 2003.
-
(2003)
J. Differential Equations
, vol.187
, Issue.2
, pp. 269-292
-
-
Cresson, J.1
-
9
-
-
51249166098
-
On Irwin's proof of the pseudostable manifold theorem
-
R. de la Llave and C. E. Wayne. On Irwin's proof of the pseudostable manifold theorem. Math. Z., 219(2):301-321, 1995.
-
(1995)
Math. Z.
, vol.219
, Issue.2
, pp. 301-321
-
-
De La Llave, R.1
Wayne, C.E.2
-
10
-
-
16244394539
-
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Announcement of results
-
A. Delshams, R. de la Llave, and T. M. Seara. A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: announcement of results. Electron. Res. Announc. Amer. Math. Soc., 9:125-134, 2003.
-
(2003)
Electron. Res. Announc. Amer. Math. Soc.
, vol.9
, pp. 125-134
-
-
Delshams, A.1
De La Llave, R.2
Seara, T.M.3
-
12
-
-
33644532419
-
A geometric mechanism for diffusion in hamiltonian systems overcoming the large gap problem: Heuristics and rigorous verification on a model
-
To appear in, Preprint 03-182
-
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 verification on a model, 2003. To appear in Memoirs of the AMS, Preprint 03-182 http://www.ma.utexas.edu/mp_arc/.
-
(2003)
Memoirs of the AMS
-
-
Delshams, A.1
De La Llave, R.2
Seara, T.M.3
-
13
-
-
85019399490
-
Orbits of unbounded energy in generic quasi-periodic perturbations of geodesic flows of certain manifolds
-
To appear, Preprint 04-280
-
A. Delshams, R. de la Llave, and T.M. Seara. Orbits of unbounded energy in generic quasi-periodic perturbations of geodesic flows of certain manifolds. To appear Adv. in Mathematics, Preprint 04-280 http://www.ma.utexas.edu/mp_arc/, 2004.
-
(2004)
Adv. in Mathematics
-
-
Delshams, A.1
De La Llave, R.2
Seara, T.M.3
-
14
-
-
0001708795
-
Homoclinic phenomena in Hamiltonian systems with several degrees of freedom
-
R. Easton. Homoclinic phenomena in Hamiltonian systems with several degrees of freedom. J. Differential Equations, 29(2):241-252, 1978.
-
(1978)
J. Differential Equations
, vol.29
, Issue.2
, pp. 241-252
-
-
Easton, R.1
-
15
-
-
0002936068
-
Orbit structure near trajectories biasymptotic to invariant tori
-
Classical mechanics and dynamical systems (Medford, Mass., 1979), Dekker, New York
-
R. Easton. Orbit structure near trajectories biasymptotic to invariant tori. In Classical mechanics and dynamical systems (Medford, Mass., 1979), volume 70 of Lecture Notes in Pure and Appl. Math., pages 55-67. Dekker, New York, 1981.
-
(1981)
Lecture Notes in Pure and Appl. Math.
, vol.70
, pp. 55-67
-
-
Easton, R.1
-
16
-
-
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(2):211-240, 1979.
-
(1979)
Indiana Univ. Math. J.
, vol.28
, Issue.2
, pp. 211-240
-
-
Easton, R.1
McGehee, R.2
-
17
-
-
0001305111
-
A rigorous partial justification of Greene's criterion
-
C. Falcolini and R. de la Llave. A rigorous partial justification of Greene's criterion. J. Statist. Phys., 67(3-4):609-643, 1992.
-
(1992)
J. Statist. Phys.
, vol.67
, Issue.3-4
, pp. 609-643
-
-
Falcolini, C.1
De La Llave, R.2
-
18
-
-
0016070051
-
Asymptotic stability with rate conditions
-
74
-
N. Fenichel. Asymptotic stability with rate conditions. Indiana Univ. Math. J., 23:1109-1137, 1973/74.
-
(1973)
Indiana Univ. Math. J.
, vol.23
, pp. 1109-1137
-
-
Fenichel, N.1
-
19
-
-
0001356311
-
Persistence and smoothness of invariant manifolds for flows
-
Neil Fenichel. Persistence and smoothness of invariant manifolds for flows. Indiana Univ. Math. J., 21:193-226, 1971/1972.
-
(1971)
Indiana Univ. Math. J.
, vol.21
, pp. 193-226
-
-
Fenichel, N.1
-
20
-
-
0034420828
-
Transition tori near an elliptic fixed point
-
A. García. Transition tori near an elliptic fixed point. Discrete Contin. Dynam. Systems, 6(2):381-392, 2000.
-
(2000)
Discrete Contin. Dynam. Systems
, vol.6
, Issue.2
, pp. 381-392
-
-
García, A.1
-
21
-
-
0041513381
-
Topologically crossing heteroclinic connections to invariant tori
-
M. Gidea and C. Robinson. Topologically crossing heteroclinic connections to invariant tori. J. Differential Equations, 193(1):49-74, 2003.
-
(2003)
J. Differential Equations
, vol.193
, Issue.1
, pp. 49-74
-
-
Gidea, M.1
Robinson, C.2
-
23
-
-
3543134841
-
Covering relations for multidimensional dynamical systems. II
-
M. Gidea and P. Zgliczyński. Covering relations for multidimensional dynamical systems. II. J. Differential Equations, 202(1):59-80, 2004.
-
(2004)
J. Differential Equations
, vol.202
, Issue.1
, pp. 59-80
-
-
Gidea, M.1
Zgliczyński, P.2
-
24
-
-
0005329777
-
-
Differential topology, Springer-Verlag, New York, Corrected reprint of the 1976 original
-
M.W. Hirsch. Differential topology, volume 33 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1994. Corrected reprint of the 1976 original.
-
(1994)
Graduate Texts in Mathematics
, vol.33
-
-
Hirsch, M.W.1
-
25
-
-
0004034109
-
-
Invariant manifolds, Springer-Verlag, Berlin
-
M.W. Hirsch, C.C. Pugh, and M. Shub. Invariant manifolds, volume 583 of Lecture Notes in Math. Springer-Verlag, Berlin, 1977.
-
(1977)
Lecture Notes in Math.
, vol.583
-
-
Hirsch, M.W.1
Pugh, C.C.2
Shub, M.3
-
26
-
-
36749107242
-
Melnikov's method and Arnol'd diffusion for perturbations of integrable Hamiltonian systems
-
P.J. Holmes and J.E. Marsden. Melnikov's method and Arnol'd diffusion for perturbations of integrable Hamiltonian systems. J. Math. Phys., 23(4):669-675, 1982.
-
(1982)
J. Math. Phys.
, vol.23
, Issue.4
, pp. 669-675
-
-
Holmes, P.J.1
Marsden, J.E.2
-
27
-
-
33644500987
-
-
G. Huget. Work in progress
-
G. Huget. Work in progress.
-
-
-
-
28
-
-
0011447739
-
-
Geometry in the neighborhood of invariant manifolds of maps and flows and linearization, Longman Scientific & Technical, Harlow
-
U. Kirchgraber and K. J. Palmer. Geometry in the neighborhood of invariant manifolds of maps and flows and linearization, volume 233 of Pitman Research Notes in Mathematics Series. Longman Scientific & Technical, Harlow, 1990.
-
(1990)
Pitman Research Notes in Mathematics Series
, vol.233
-
-
Kirchgraber, U.1
Palmer, K.J.2
-
29
-
-
84951230350
-
Chaotic motion along resonance layers in near-integrable Hamiltonian systems with three or more degrees of freedom
-
Claude Wendell Horton, Jr. and Linda E. Reichl, editors, Wiley, New York
-
M. A. Lieberman and J. L. Tennyson. Chaotic motion along resonance layers in near-integrable Hamiltonian systems with three or more degrees of freedom. In Claude Wendell Horton, Jr. and Linda E. Reichl, editors, Long-time prediction in dynamics (Lakeway, Tex., 1981), pages 179-211. Wiley, New York, 1983.
-
(1983)
Long-time Prediction in Dynamics (Lakeway, Tex., 1981)
, pp. 179-211
-
-
Lieberman, M.A.1
Tennyson, J.L.2
-
30
-
-
0030578641
-
Transition tori in the five-body problem
-
R. Moeckel. Transition tori in the five-body problem. J. Differential Equations, 129(2) :290-314, 1996.
-
(1996)
J. Differential Equations
, vol.129
, Issue.2
, pp. 290-314
-
-
Moeckel, R.1
-
31
-
-
33644547245
-
Lectures on partial hyperbolicity and stable ergodicity
-
European Mathematical Society (EMS), Zürich
-
Ya. B. Pesin. Lectures on partial hyperbolicity and stable ergodicity. Zurich Lectures in Advanced Mathematics. European Mathematical Society (EMS), Zürich, 2004.
-
(2004)
Zurich Lectures in Advanced Mathematics
-
-
Pesin, Ya.B.1
-
32
-
-
0041546089
-
Linearization of normally hyperbolic diffeomorphisms and flows
-
C. Pugh and M. Shub. Linearization of normally hyperbolic diffeomorphisms and flows. Invent. Math., 10:187-198, 1970.
-
(1970)
Invent. Math.
, vol.10
, pp. 187-198
-
-
Pugh, C.1
Shub, M.2
-
33
-
-
51249190829
-
Differentiable conjugacy near compact invariant manifolds
-
C. Robinson. Differentiable conjugacy near compact invariant manifolds. Bol. Soc. Brasil. Mat., 2(1):33-44, 1971.
-
(1971)
Bol. Soc. Brasil. Mat.
, vol.2
, Issue.1
, pp. 33-44
-
-
Robinson, C.1
-
34
-
-
4243441213
-
Resonance transport in near-integrable systems with many degrees of freedom
-
J. Tennyson. Resonance transport in near-integrable systems with many degrees of freedom. Phys. D, 5(1):123-135, 1982.
-
(1982)
Phys. D
, vol.5
, Issue.1
, pp. 123-135
-
-
Tennyson, J.1
-
35
-
-
4744350842
-
Evolution of slow variables in a priori unstable hamiltonian systems
-
D. Treschev. Evolution of slow variables in a priori unstable hamiltonian systems. Nonlinearity, 17(5):1803-1841, 2004.
-
(2004)
Nonlinearity
, vol.17
, Issue.5
, pp. 1803-1841
-
-
Treschev, D.1
-
36
-
-
3543092733
-
Covering relations for multidimensional dynamical systems
-
P. Zgliczyński and M. Gidea. Covering relations for multidimensional dynamical systems. J. Differential Equations, 202(1):32-58, 2004.
-
(2004)
J. Differential Equations
, vol.202
, Issue.1
, pp. 32-58
-
-
Zgliczyński, P.1
Gidea, M.2
|