-
1
-
-
0002031610
-
Markov partitions for two-dimensional hyperbolic billiards
-
L. A. Bunimovich, Ya. G. Sinai, and N. I. Chernov, Markov partitions for two-dimensional hyperbolic billiards, Russian Math. Surveys 45:105-152 (1990); Translation of Uspekhi Mat. Nauk 45, 3(273), 97-134, 221.
-
(1990)
Russian Math. Surveys
, vol.45
, pp. 105-152
-
-
Bunimovich, L.A.1
Sinai, Ya.G.2
Chernov, N.I.3
-
2
-
-
85204074240
-
-
L. A. Bunimovich, Ya. G. Sinai, and N. I. Chernov, Markov partitions for two-dimensional hyperbolic billiards, Russian Math. Surveys 45:105-152 (1990); Translation of Uspekhi Mat. Nauk 45, 3(273), 97-134, 221.
-
Uspekhi Mat. Nauk
, vol.45
, Issue.3-273
, pp. 97-134
-
-
-
3
-
-
0030523248
-
Elliptic islands in generalized Sinai billiards
-
V. J. Donnay, Elliptic islands in generalized Sinai billiards, Ergodic Theory Dynam. Systems 16:975-1010 (1996).
-
(1996)
Ergodic Theory Dynam. Systems
, vol.16
, pp. 975-1010
-
-
Donnay, V.J.1
-
4
-
-
0033241709
-
Non-ergodicity of two particles interacting via a smooth potential
-
V. J. Donnay, Non-ergodicity of two particles interacting via a smooth potential, J. Stat. Phys. 96:1021-1048 (1999).
-
(1999)
J. Stat. Phys.
, vol.96
, pp. 1021-1048
-
-
Donnay, V.J.1
-
5
-
-
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. H. Poincaré Anal. Non Linéaire 11:359-409 (1994).
-
(1994)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.11
, pp. 359-409
-
-
Duarte, P.1
-
6
-
-
36549101751
-
Scattering from a classically chaotic repellor
-
P. Gaspard and S. A. Rice, Scattering from a classically chaotic repellor, J. Chem. Phys. 4:2225-2241 (1989).
-
(1989)
J. Chem. Phys.
, vol.4
, pp. 2225-2241
-
-
Gaspard, P.1
Rice, S.A.2
-
7
-
-
0040009833
-
Integrable Hamiltonians with exponential potential
-
E. Gutkin, Integrable Hamiltonians with exponential potential, Phys. D 16:398-404 (1985).
-
(1985)
Phys. D
, vol.16
, pp. 398-404
-
-
Gutkin, E.1
-
8
-
-
0038984258
-
Continuity of the scattering data for particles on the line with directed repulsive interactions
-
E. Gutkin, Continuity of the scattering data for particles on the line with directed repulsive interactions, J. Math. Phys. 28:351-359 (1987).
-
(1987)
J. Math. Phys.
, vol.28
, pp. 351-359
-
-
Gutkin, E.1
-
9
-
-
0005776565
-
Bifurcations and complete chaos for the diamagnetic kepler problem
-
K. T. Hansen, Bifurcations and complete chaos for the diamagnetic kepler problem, Phys. Rev. E 51:1838-1844 (1995).
-
(1995)
Phys. Rev. E
, vol.51
, pp. 1838-1844
-
-
Hansen, K.T.1
-
10
-
-
0035981037
-
Observation of islands of stability in soft wall atom-optics billiards
-
A. Kaplan, N. Friedman, M. Andersen, and N. Davidson, Observation of islands of stability in soft wall atom-optics billiards, Phys. Rev. Lett. 87:274101-1-4 (2001).
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 2741011-2741014
-
-
Kaplan, A.1
Friedman, N.2
Andersen, M.3
Davidson, N.4
-
11
-
-
0004188386
-
-
Springer-Verlag, Berlin
-
Anatole Katok, Jean-Marie Strelcyn, F. Ledrappier, and F. Przytycki, Invariant Manifolds, Entropy and Billiards; Smooth Maps with Singularities (Springer-Verlag, Berlin, 1986).
-
(1986)
Invariant Manifolds, Entropy and Billiards; Smooth Maps with Singularities
-
-
Katok, A.1
Strelcyn, J.-M.2
Ledrappier, F.3
Przytycki, F.4
-
12
-
-
0009250841
-
Polynomial integrals of Hamiltonian systems with exponential interaction
-
V. V. Kozlov and D. V. Treshchëv, Polynomial integrals of Hamiltonian systems with exponential interaction, Izv. Akad. Nauk SSSR Ser. Mat. 53:537-556, 671 (1989).
-
(1989)
Izv. Akad. Nauk SSSR Ser. Mat.
, vol.53
, pp. 537-556
-
-
Kozlov, V.V.1
Treshchëv, D.V.2
-
13
-
-
85204090134
-
-
Translations of Mathematical Monographs (American Mathematical Society, Providence, RI)
-
V. V. Kozlov and D. V. Treshchëv, Billiards, Translations of Mathematical Monographs, Vol. 89 (American Mathematical Society, Providence, RI).
-
Billiards
, vol.89
-
-
Kozlov, V.V.1
Treshchëv, D.V.2
-
15
-
-
0346703292
-
Big islands in dispersing billiard-like potentials
-
V. Rom-Kedar and D. Turaev, Big islands in dispersing billiard-like potentials, Phys. D 130:187-210 (1999).
-
(1999)
Phys. D
, vol.130
, pp. 187-210
-
-
Rom-Kedar, V.1
Turaev, D.2
-
16
-
-
0035981913
-
The complete hyperbolicity of cylindric billiards
-
N. Simányi, The complete hyperbolicity of cylindric billiards, Ergodic Theory Dynam. Systems 22:281-302 (2002).
-
(2002)
Ergodic Theory Dynam. Systems
, vol.22
, pp. 281-302
-
-
Simányi, N.1
-
17
-
-
0001738670
-
On the foundations of the ergodic hypothesis for dynamical system of statistical mechanics
-
Ya. G. Sinai, On the foundations of the ergodic hypothesis for dynamical system of statistical mechanics, Dokt. Akad. Nauk. SSSR 153:1261-1264 (1963).
-
(1963)
Dokt. Akad. Nauk. SSSR
, vol.153
, pp. 1261-1264
-
-
Sinai, Ya.G.1
-
18
-
-
84927896522
-
Dynamical systems with elastic reflections: Ergodic properties of scattering billiards
-
Ya. G. Sinai, Dynamical systems with elastic reflections: Ergodic properties of scattering billiards, Russian Math. Surveys 25:137-189 (1970).
-
(1970)
Russian Math. Surveys
, vol.25
, pp. 137-189
-
-
Sinai, Ya.G.1
-
19
-
-
85204061914
-
-
Proceedings of the 1994 Les-Houches summer school on "Mesoscopic quantum Physics," A. Akkermans,. G. Montambaux, and J. L. Pichard, eds.
-
U. Smilansky, Semiclassical Quantization of Chaotic Billiards - a Scattering Approach, Proceedings of the 1994 Les-Houches summer school on "Mesoscopic quantum Physics," A. Akkermans,. G. Montambaux, and J. L. Pichard, eds. (1995).
-
(1995)
Semiclassical Quantization of Chaotic Billiards - A Scattering Approach
-
-
Smilansky, U.1
-
20
-
-
1542574947
-
Boltzmann's ergodic hypothesis, a conjecture for centuries?
-
D. Szász, Boltzmann's ergodic hypothesis, a conjecture for centuries?, Studia Sci. Math. Hungar. 31:299-322 (1996).
-
(1996)
Studia Sci. Math. Hungar.
, vol.31
, pp. 299-322
-
-
Szász, D.1
-
21
-
-
0007679077
-
Islands appearing in near-ergodic flows
-
D. Turaev and V. Rom-Kedar, Islands appearing in near-ergodic flows, Nonlinearity 11:575-600 (1998).
-
(1998)
Nonlinearity
, vol.11
, pp. 575-600
-
-
Turaev, D.1
Rom-Kedar, V.2
-
22
-
-
0000928980
-
Principles for the design of billiards with nonvanishing Lyapunov exponents
-
M. Wojtkowski, Principles for the design of billiards with nonvanishing Lyapunov exponents, Comm. Math. Phys. 105:391-414 (1986).
-
(1986)
Comm. Math. Phys.
, vol.105
, pp. 391-414
-
-
Wojtkowski, M.1
-
23
-
-
1542686682
-
On the non-integrability of some generalized Toda lattices
-
H. Yoshida, A. Ramani, B. Grammaticos, and J. Hietarinta, On the non-integrability of some generalized Toda lattices, Phys. A 144:310-321 (1987).
-
(1987)
Phys. A
, vol.144
, pp. 310-321
-
-
Yoshida, H.1
Ramani, A.2
Grammaticos, B.3
Hietarinta, J.4
-
24
-
-
0041020915
-
Branching of solutions and non-existence of first integrals in Hamiltonian mechanics, i, II
-
S. L. Ziglin, Branching of solutions and non-existence of first integrals in Hamiltonian mechanics, i, II., Funct. Anal. Appl. 16 and 17:181-189, 6-16 (1982, 1983).
-
(1982)
Funct. Anal. Appl.
, vol.16-17
, pp. 181-189
-
-
Ziglin, S.L.1
|