-
1
-
-
0040177547
-
Sur l'allure finale du mouvement dans le problème des trois corps
-
Paris: Gauthier-Villars
-
V. M. Alexeyev, "Sur l'allure finale du mouvement dans le problème des trois corps," in Actes Congr. Int. Math., Nice, 1970 (Gauthier-Villars, Paris, 1971), Vol. 2, pp. 893-907.
-
(1971)
Actes Congr. Int. Math., Nice, 1970
, pp. 893-907
-
-
Alexeyev, V.M.1
-
2
-
-
33644634172
-
Dynamiques symplectiques génériques
-
M.-C. Arnaud, C. Bonatti, and S. Crovisier, "Dynamiques symplectiques génériques," Ergodic Theory Dyn. Syst. 25(5), 1401-1436 (2005).
-
(2005)
Ergodic Theory Dyn. Syst.
, vol.25
, Issue.5
, pp. 1401-1436
-
-
Arnaud, M.-C.1
Bonatti, C.2
Crovisier, S.3
-
3
-
-
4944255089
-
Récurrence et généricité
-
C. Bonatti and S. Crovisier, "Récurrence et généricité," Invent. Math. 158(1), 33-104 (2004).
-
(2004)
Invent. Math.
, vol.158
, Issue.1
, pp. 33-104
-
-
Bonatti, C.1
Crovisier, S.2
-
4
-
-
0035648602
-
Mushrooms and Other Billiards with Divided Phase Space
-
L. A. Bunimovich, "Mushrooms and Other Billiards with Divided Phase Space," Chaos 11, 802-808 (2001).
-
(2001)
Chaos
, vol.11
, pp. 802-808
-
-
Bunimovich, L.A.1
-
5
-
-
54649084411
-
On Separatrix Splitting of Some Quadratic Area-Preserving Maps of the Plane
-
V. L. Chernov, "On Separatrix Splitting of Some Quadratic Area-Preserving Maps of the Plane," Regul. Chaotic Dyn. 3(1), 49-65 (1998).
-
(1998)
Regul. Chaotic Dyn.
, vol.3
, Issue.1
, pp. 49-65
-
-
Chernov, V.L.1
-
6
-
-
0012097571
-
A Universal Instability of Many-Dimensional Oscillator Systems
-
B. V. Chirikov, "A Universal Instability of Many-Dimensional Oscillator Systems," Phys. Rep. 52, 263-379 (1979).
-
(1979)
Phys. Rep.
, vol.52
, pp. 263-379
-
-
Chirikov, B.V.1
-
7
-
-
0001073501
-
The Existence of Transverse Homoclinic Points in the Sitnikov Problem
-
H. Dankowicz and P. Holmes, "The Existence of Transverse Homoclinic Points in the Sitnikov Problem," J. Diff. Eqns. 116(2), 468-483 (1995).
-
(1995)
J. Diff. Eqns.
, vol.116
, Issue.2
, pp. 468-483
-
-
Dankowicz, H.1
Holmes, P.2
-
8
-
-
84974277538
-
Geodesic Flow on the Two-Sphere. I: Positive Measure Entropy
-
V. J. Donnay, "Geodesic Flow on the Two-Sphere. I: Positive Measure Entropy," Ergodic Theory Dyn. Syst. 8(4), 531-553 (1988).
-
(1988)
Ergodic Theory Dyn. Syst.
, vol.8
, Issue.4
, pp. 531-553
-
-
Donnay, V.J.1
-
9
-
-
18244372671
-
Symbolic Extensions and Smooth Dynamical Systems
-
T. Downarowicz and S. Newhouse, "Symbolic Extensions and Smooth Dynamical Systems," Invent. Math. 160(3), 453-499 (2005).
-
(2005)
Invent. Math.
, vol.160
, Issue.3
, pp. 453-499
-
-
Downarowicz, T.1
Newhouse, S.2
-
10
-
-
85012297095
-
Plenty of Elliptic Islands for the Standard Family of Area Preserving Maps
-
P. Duarte, "Plenty of Elliptic Islands for the Standard Family of Area Preserving Maps," Ann. Inst. Henri Poincaré, Anal. Non Linéaire 11(4), 359-409 (1994).
-
(1994)
Ann. Inst. Henri Poincaré, Anal. Non Linéaire
, vol.11
, Issue.4
, pp. 359-409
-
-
Duarte, P.1
-
11
-
-
17344390264
-
Abundance of Elliptic Isles at Conservative Bifurcations
-
P. Duarte, "Abundance of Elliptic Isles at Conservative Bifurcations," Dyn. Stab. Syst. 14(4), 339-356 (1999).
-
(1999)
Dyn. Stab. Syst.
, vol.14
, Issue.4
, pp. 339-356
-
-
Duarte, P.1
-
12
-
-
0034397323
-
Persistent Homoclinic Tangencies for Conservative Maps near the Identity
-
P. Duarte, "Persistent Homoclinic Tangencies for Conservative Maps near the Identity," Ergodic Theory Dyn. Syst. 20(2), 393-438 (2000).
-
(2000)
Ergodic Theory Dyn. Syst.
, vol.20
, Issue.2
, pp. 393-438
-
-
Duarte, P.1
-
13
-
-
56549083290
-
Elliptic Isles in Families of Area-Preserving Maps
-
P. Duarte, "Elliptic Isles in Families of Area-Preserving Maps," Ergodic Theory Dyn. Syst. 28(6), 1781-1813 (2008).
-
(2008)
Ergodic Theory Dyn. Syst.
, vol.28
, Issue.6
, pp. 1781-1813
-
-
Duarte, P.1
-
14
-
-
76049109965
-
On Integrability of Quadratic Area Preserving Mappings in the Plane
-
Lect. Notes Phys, Berlin: Springer
-
E. Fontich, "On Integrability of Quadratic Area Preserving Mappings in the Plane," in Dynamical Systems and Chaos (Springer, Berlin, 1983), Lect. Notes Phys. 179, pp. 270-271.
-
(1983)
Dynamical Systems and Chaos
, vol.179
, pp. 270-271
-
-
Fontich, E.1
-
15
-
-
84971996008
-
The Splitting of Separatrices for Analytic Diffeomorphisms
-
E. Fontich and C. Simó, "The Splitting of Separatrices for Analytic Diffeomorphisms," Ergodic Theory Dyn. Syst. 10(2), 295-318 (1990).
-
(1990)
Ergodic Theory Dyn. Syst.
, vol.10
, Issue.2
, pp. 295-318
-
-
Fontich, E.1
Simó, C.2
-
16
-
-
84972004210
-
Invariant Manifolds for Near Identity Differentiable Maps and Splitting of Separatrices
-
E. Fontich and C. Simó, "Invariant Manifolds for Near Identity Differentiable Maps and Splitting of Separatrices," Ergodic Theory Dyn. Syst. 10(2), 319-346 (1990).
-
(1990)
Ergodic Theory Dyn. Syst.
, vol.10
, Issue.2
, pp. 319-346
-
-
Fontich, E.1
Simó, C.2
-
17
-
-
76049129373
-
Heteroclinic Phenomena in the Sitnikov Problem
-
World Sci. Monogr. Ser. Math, River Edge, NJ: World Sci
-
A. Garcia and E. Perez-Chavela, "Heteroclinic Phenomena in the Sitnikov Problem," in Hamiltonian Systems and Celestial Mechanics, Patzcuaro (Mexico), 1998 (World Sci., River Edge, NJ, 2000), World Sci. Monogr. Ser. Math. 6, pp. 174-185.
-
(2000)
Hamiltonian Systems and Celestial Mechanics, Patzcuaro (Mexico), 1998
, vol.6
, pp. 174-185
-
-
Garcia, A.1
Perez-Chavela, E.2
-
18
-
-
0000563240
-
Conjugation to a Shift and the Splitting of Invariant Manifolds
-
V. G. Gelfreich, "Conjugation to a Shift and the Splitting of Invariant Manifolds," Appl. Math. 24(2), 127-140 (1996).
-
(1996)
Appl. Math.
, vol.24
, Issue.2
, pp. 127-140
-
-
Gelfreich, V.G.1
-
19
-
-
0033241455
-
A Proof of the Exponentially Small Transversality of the Separatrices for the Standard Map
-
V. G. Gelfreich, "A Proof of the Exponentially Small Transversality of the Separatrices for the Standard Map," Commun. Math. Phys. 201(1), 155-216 (1999).
-
(1999)
Commun. Math. Phys.
, vol.201
, Issue.1
, pp. 155-216
-
-
Gelfreich, V.G.1
-
20
-
-
0005147868
-
Splitting of a Small Separatrix Loop near the Saddle-Center Bifurcation in Area-Preserving Maps
-
V. Gelfreich, "Splitting of a Small Separatrix Loop near the Saddle-Center Bifurcation in Area-Preserving Maps," Physica D 136(3-4), 266-279 (2000).
-
(2000)
Physica D
, vol.136
, Issue.3-4
, pp. 266-279
-
-
Gelfreich, V.1
-
21
-
-
21544449251
-
Splitting of Separatrices: Perturbation Theory and Exponential Smallness
-
[Russ. Math. Surv. 56, 499-558 (2001)]
-
V. G. Gelfreich and V. F. Lazutkin, "Splitting of Separatrices: Perturbation Theory and Exponential Smallness," Usp. Mat. Nauk 56(3), 79-142 (2001) [Russ. Math. Surv. 56, 499-558 (2001)].
-
(2001)
Usp. Mat. Nauk
, vol.56
, Issue.3
, pp. 79-142
-
-
Gelfreich, V.G.1
Lazutkin, V.F.2
-
22
-
-
0035612003
-
Borel Summation and Splitting of Separatrices for the Hénon Map
-
V. Gelfreich and D. Sauzin, "Borel Summation and Splitting of Separatrices for the Hénon Map," Ann. Inst. Fourier 51(2), 513-567 (2001).
-
(2001)
Ann. Inst. Fourier
, vol.51
, Issue.2
, pp. 513-567
-
-
Gelfreich, V.1
Sauzin, D.2
-
23
-
-
32044452038
-
On Two-Dimensional Area-Preserving Maps with Homoclinic Tangencies That Have Infinitely Many Generic Elliptic Periodic Points
-
[J. Math. Sci. 128 (2), 2767-2773 (2005)]
-
S. V. Gonchenko and L. P. Shilnikov, "On Two-Dimensional Area-Preserving Maps with Homoclinic Tangencies That Have Infinitely Many Generic Elliptic Periodic Points," Zap. Nauchn. Semin. POMI 300, 155-166 (2003) [J. Math. Sci. 128 (2), 2767-2773 (2005)].
-
(2003)
Zap. Nauchn. Semin. POMI
, vol.300
, pp. 155-166
-
-
Gonchenko, S.V.1
Shilnikov, L.P.2
-
24
-
-
33947622603
-
Homoclinic Tangencies of Arbitrarily High Orders in Conservative and Dissipative Two-Dimensional Maps
-
S. Gonchenko, D. Turaev, and L. Shilnikov, "Homoclinic Tangencies of Arbitrarily High Orders in Conservative and Dissipative Two-Dimensional Maps," Nonlinearity 20(2), 241-275 (2007).
-
(2007)
Nonlinearity
, vol.20
, Issue.2
, pp. 241-275
-
-
Gonchenko, S.1
Turaev, D.2
Shilnikov, L.3
-
25
-
-
0001039322
-
Numerical Study of Quadratic Area Preserving Mappings
-
M. Hénon, "Numerical Study of Quadratic Area Preserving Mappings," Quart. Appl. Math. 27(3), 291-312 (1969).
-
(1969)
Quart. Appl. Math.
, vol.27
, Issue.3
, pp. 291-312
-
-
Hénon, M.1
-
26
-
-
84995319980
-
Nearly Linear Mappings and Their Applications
-
F. M. Izraelev, "Nearly Linear Mappings and Their Applications," Physica D 1(3), 243-266 (1980).
-
(1980)
Physica D
, vol.1
, Issue.3
, pp. 243-266
-
-
Izraelev, F.M.1
-
27
-
-
0034349439
-
Generic Diffeomorphisms with Superexponential Growth of Number of Periodic Orbits
-
V. Yu. Kaloshin, "Generic Diffeomorphisms with Superexponential Growth of Number of Periodic Orbits," Commun. Math. Phys. 211(1), 253-271 (2000).
-
(2000)
Commun. Math. Phys.
, vol.211
, Issue.1
, pp. 253-271
-
-
Kaloshin, V.Y.1
-
28
-
-
0000118838
-
Bernoulli Diffeomorphisms on Surfaces
-
A. Katok, "Bernoulli Diffeomorphisms on Surfaces," Ann. Math., Ser. 2, 110(3), 529-547 (1979).
-
(1979)
Ann. Math., Ser. 2
, vol.110
, Issue.3
, pp. 529-547
-
-
Katok, A.1
-
29
-
-
27244458584
-
Birth of an Elliptic Island in a Chaotic Sea
-
C. Liverani, "Birth of an Elliptic Island in a Chaotic Sea," Math. Phys. Electron. J. 10, 1 (2004).
-
(2004)
Math. Phys. Electron. J.
, vol.10
, pp. 1
-
-
Liverani, C.1
-
30
-
-
0007383374
-
Oscillatory Solutions in the Planar Restricted Three-Body Problem
-
J. Llibre and C. Simó, "Oscillatory Solutions in the Planar Restricted Three-Body Problem," Math. Ann. 248, 153-184 (1980).
-
(1980)
Math. Ann.
, vol.248
, pp. 153-184
-
-
Llibre, J.1
Simó, C.2
-
31
-
-
85013722247
-
Some Homoclinic Phenomena in the Three Body Problem
-
J. Llibre and C. Simó, "Some Homoclinic Phenomena in the Three Body Problem," J. Diff Eqns. 37, 444-465 (1980).
-
(1980)
J. Diff Eqns.
, vol.37
, pp. 444-465
-
-
Llibre, J.1
Simó, C.2
-
33
-
-
0002007686
-
A Stable Manifold Theorem for Degenerate Fixed Points with Applications to Celestial Mechanics
-
R. McGehee, "A Stable Manifold Theorem for Degenerate Fixed Points with Applications to Celestial Mechanics," J. Diff. Eqns. 14, 70-88 (1973).
-
(1973)
J. Diff. Eqns.
, vol.14
, pp. 70-88
-
-
McGehee, R.1
-
34
-
-
0002238227
-
Moser's Invariant Curves and Homoclinic Bifurcations
-
L. Mora and N. Romero, "Moser's Invariant Curves and Homoclinic Bifurcations," Dyn. Syst. Appl. 6, 29-42 (1997).
-
(1997)
Dyn. Syst. Appl.
, vol.6
, pp. 29-42
-
-
Mora, L.1
Romero, N.2
-
35
-
-
0242344635
-
Abundance of Strange Attractors
-
L. Mora and M. Viana, "Abundance of Strange Attractors," Acta Math. 171(1), 1-71 (1993).
-
(1993)
Acta Math.
, vol.171
, Issue.1
, pp. 1-71
-
-
Mora, L.1
Viana, M.2
-
36
-
-
0001409680
-
Stable Intersections of Cantor Sets and Homoclinic Bifurcations
-
C. G. T. de A. Moreira, "Stable Intersections of Cantor Sets and Homoclinic Bifurcations," Ann. Inst. Henri Poincaré, Anal. Non Linéaire 13(6), 741-781 (1996).
-
(1996)
Ann. Inst. Henri Poincaré, Anal. Non Linéaire
, vol.13
, Issue.6
, pp. 741-781
-
-
de Moreira, C.G.T.A.1
-
38
-
-
0000935850
-
2
-
Proc. Symp. Pure Math, Providence, RI: Am. Math. Soc
-
2," in Global Analysis (Am. Math. Soc., Providence, RI, 1970), Proc. Symp. Pure Math. 14, pp. 191-202.
-
(1970)
Global Analysis
, vol.14
, pp. 191-202
-
-
Newhouse, S.E.1
-
39
-
-
32044475236
-
Diffeomorphisms with Infinitely Many Sinks
-
S. E. Newhouse, "Diffeomorphisms with Infinitely Many Sinks," Topology 13, 9-18 (1974).
-
(1974)
Topology
, vol.13
, pp. 9-18
-
-
Newhouse, S.E.1
-
40
-
-
0001128134
-
Quasi-elliptic Periodic Points in Conservative Dynamical Systems
-
S. E. Newhouse, "Quasi-elliptic Periodic Points in Conservative Dynamical Systems," Am. J. Math. 99(5), 1061-1087 (1977).
-
(1977)
Am. J. Math.
, vol.99
, Issue.5
, pp. 1061-1087
-
-
Newhouse, S.E.1
-
41
-
-
9344263591
-
Topological Entropy and Hausdorff Dimension for Area Preserving Diffeomorphisms of Surfaces
-
Paris: Soc. Math. France
-
S. E. Newhouse, "Topological Entropy and Hausdorff Dimension for Area Preserving Diffeomorphisms of Surfaces," in Dynamical Systems, Warsaw, June 27-July 2, 1977 (Soc. Math. France, Paris, 1978), Vol. 3, Astérisque 51, pp. 323-334.
-
(1978)
Dynamical Systems, Warsaw, June 27-July 2, 1977
, pp. 323-334
-
-
Newhouse, S.E.1
-
42
-
-
51249181043
-
The Abundance of Wild Hyperbolic Sets and Non-smooth Stable Sets for Diffeomorphisms
-
S. E. Newhouse, "The Abundance of Wild Hyperbolic Sets and Non-smooth Stable Sets for Diffeomorphisms," Publ. Math., Inst. Hautes Étud. Sci. 50, 101-151 (1979).
-
(1979)
Publ. Math., Inst. Hautes Étud. Sci.
, vol.50
, pp. 101-151
-
-
Newhouse, S.E.1
-
43
-
-
0002218584
-
Lectures on Dynamical Systems
-
Progr. Math, Boston: Birkhäuser
-
S. E. Newhouse, "Lectures on Dynamical Systems," in Dynamical Systems, Centro Intern. Mat. Estivo Lect., Bressanone (Italy), 1978 (Birkhäuser, Boston, 1980), Progr. Math. 8, pp. 1-114.
-
(1980)
Dynamical Systems, Centro Intern. Mat. Estivo Lect., Bressanone (Italy), 1978
, vol.8
, pp. 1-114
-
-
Newhouse, S.E.1
-
44
-
-
0003377111
-
Cycles and Bifurcation Theory
-
Paris: Soc. Math. France
-
S. Newhouse and J. Palis, "Cycles and Bifurcation Theory," in Trois études en dynamique qualitative (Soc. Math. France, Paris, 1976), Astérisque 31, pp. 44-140.
-
(1976)
Trois études En Dynamique Qualitative
, pp. 44-140
-
-
Newhouse, S.1
Palis, J.2
-
45
-
-
0001526473
-
Hyperbolicity and the Creation of Homoclinic Orbits
-
J. Palis and F. Takens, "Hyperbolicity and the Creation of Homoclinic Orbits," Ann. Math., Ser. 2, 125(2), 337-374 (1987).
-
(1987)
Ann. Math., Ser. 2
, vol.125
, Issue.2
, pp. 337-374
-
-
Palis, J.1
Takens, F.2
-
47
-
-
0001731090
-
On the Continuity of Hausdorff Dimension and Limit Capacity for Horseshoes
-
Lect. Notes Math, Berlin: Springer
-
J. Palis and M. Viana, "On the Continuity of Hausdorff Dimension and Limit Capacity for Horseshoes," in Dynamical Systems: Proc. Symp., Valparaiso (Chile), 1986 (Springer, Berlin, 1988), Lect. Notes Math. 1331, pp. 150-160.
-
(1988)
Dynamical Systems: Proc. Symp., Valparaiso (Chile), 1986
, vol.1331
, pp. 150-160
-
-
Palis, J.1
Viana, M.2
-
49
-
-
84961291543
-
Characteristic Lyapunov Exponents and Smooth Ergodic Theory
-
[Russ. Math. Surv. 32 (4), 55-114 (1977)]
-
Ya. B. Pesin, "Characteristic Lyapunov Exponents and Smooth Ergodic Theory," Usp. Mat. Nauk 32(4), 55-112 (1977) [Russ. Math. Surv. 32 (4), 55-114 (1977)].
-
(1977)
Usp. Mat. Nauk
, vol.32
, Issue.4
, pp. 55-112
-
-
Pesin, Y.B.1
-
50
-
-
33745536279
-
Examples of Conservative Diffeomorphisms of the Two-Dimensional Torus with Coexistence of Elliptic and Stochastic Behavior
-
F. Przytycki, "Examples of Conservative Diffeomorphisms of the Two-Dimensional Torus with Coexistence of Elliptic and Stochastic Behavior," Ergodic Theory Dyn. Syst. 2(3-4), 439-463 (1982).
-
(1982)
Ergodic Theory Dyn. Syst.
, vol.2
, Issue.3-4
, pp. 439-463
-
-
Przytycki, F.1
-
51
-
-
0000154315
-
Bifurcation to Infinitely Many Sinks
-
C. Robinson, "Bifurcation to Infinitely Many Sinks," Commun. Math. Phys. 90(3), 433-459 (1983).
-
(1983)
Commun. Math. Phys.
, vol.90
, Issue.3
, pp. 433-459
-
-
Robinson, C.1
-
52
-
-
38249024533
-
The Existence of Oscillatory and Superhyperbolic Motion in Newtonian Systems
-
D. G. Saari and Z. Xia, "The Existence of Oscillatory and Superhyperbolic Motion in Newtonian Systems," J. Diff. Eqns. 82(2), 342-355 (1989).
-
(1989)
J. Diff. Eqns.
, vol.82
, Issue.2
, pp. 342-355
-
-
Saari, D.G.1
Xia, Z.2
-
54
-
-
0004192457
-
-
Princeton Math. Ser, Princeton, NJ: Princeton Univ. Press
-
Ya. Sinai, Topics in Ergodic Theory (Princeton Univ. Press, Princeton, NJ, 1994), Princeton Math. Ser. 44.
-
(1994)
Topics in Ergodic Theory
, vol.44
-
-
Sinai, Y.1
-
55
-
-
0040427030
-
The Existence of Oscillatory Motions in the Three-Body Problem
-
[Sov. Phys., Dokl. 5, 647-650 (1960)]
-
K. A. Sitnikov, "The Existence of Oscillatory Motions in the Three-Body Problem," Dokl. Akad. Nauk SSSR 133(2), 303-306 (1960) [Sov. Phys., Dokl. 5, 647-650 (1960)].
-
(1960)
Dokl. Akad. Nauk SSSR
, vol.133
, Issue.2
, pp. 303-306
-
-
Sitnikov, K.A.1
-
56
-
-
11944253633
-
Chaotic Landau Level Mixing in Classical and Quantum Wells
-
D. L. Shepelyansky and A. D. Stone, "Chaotic Landau Level Mixing in Classical and Quantum Wells," Phys. Rev. Lett. 74, 2098-2101 (1995).
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 2098-2101
-
-
Shepelyansky, D.L.1
Stone, A.D.2
-
57
-
-
0001451552
-
The Structure of Local Homeomorphisms. III
-
S. Sternberg, "The Structure of Local Homeomorphisms. III," Am. J. Math. 81, 578-604 (1959).
-
(1959)
Am. J. Math.
, vol.81
, pp. 578-604
-
-
Sternberg, S.1
-
58
-
-
0000937192
-
A Model Problem with the Coexistence of Stochastic and Integrable Behavior
-
M. Wojtkowski, "A Model Problem with the Coexistence of Stochastic and Integrable Behavior," Commun. Math. Phys. 80, 453-464 (1981).
-
(1981)
Commun. Math. Phys.
, vol.80
, pp. 453-464
-
-
Wojtkowski, M.1
-
59
-
-
0001249689
-
Melnikov Method and Transversal Homoclinic Points in the Restricted Three-Body Problem
-
Z. Xia, "Melnikov Method and Transversal Homoclinic Points in the Restricted Three-Body Problem," J. Diff. Eqns. 96(1), 170-184 (1992).
-
(1992)
J. Diff. Eqns.
, vol.96
, Issue.1
, pp. 170-184
-
-
Xia, Z.1
|