-
2
-
-
0002564801
-
Geodesic flows and closed Riemannian manifolds with negative curvature
-
Anosov, D. V. [1967] "Geodesic flows and closed Riemannian manifolds with negative curvature," Proc. Steklov Inst. Math. 90, p. 1.
-
(1967)
Proc. Steklov Inst. Math.
, vol.90
, pp. 1
-
-
Anosov, D.V.1
-
3
-
-
33744891845
-
Bubbling of attractors and synchronisation of chaotic oscillators
-
Ashwin, P., Buescu, J. & Stewart, I. [1994] "Bubbling of attractors and synchronisation of chaotic oscillators," Phys. Lett. A193, 126-139.
-
(1994)
Phys. Lett.
, vol.A193
, pp. 126-139
-
-
Ashwin, P.1
Buescu, J.2
Stewart, I.3
-
4
-
-
6144229366
-
From attractor to chaotic saddle: A tale of transverse stability
-
Ashwin, P., Buescu, J. & Stewart, I. [1996] "From attractor to chaotic saddle: A tale of transverse stability," Nonlinearity 9, 703-737.
-
(1996)
Nonlinearity
, vol.9
, pp. 703-737
-
-
Ashwin, P.1
Buescu, J.2
Stewart, I.3
-
5
-
-
5544277793
-
Unstable periodic orbits and the symbolic dynamics of the complex Hénon map
-
Biham, O. & Wenzel, W. [1990] "Unstable periodic orbits and the symbolic dynamics of the complex Hénon map," Phys. Rev. A42, 4639-4646.
-
(1990)
Phys. Rev.
, vol.A42
, pp. 4639-4646
-
-
Biham, O.1
Wenzel, W.2
-
6
-
-
29444435144
-
ω-limit sets for Axiom A diffeomorphisms
-
Bowen, R. [1975] "ω-limit sets for Axiom A diffeomorphisms," J. Diff. Eq. 18, 333-339.
-
(1975)
J. Diff. Eq.
, vol.18
, pp. 333-339
-
-
Bowen, R.1
-
7
-
-
0000252317
-
Obstructions to shadowing when a Lyapunov exponent fluctuates about zero
-
Dawson, S., Grebogi, C., Sauer, T. & Yorke, J. A. [1994] "Obstructions to shadowing when a Lyapunov exponent fluctuates about zero," Phys. Rev. Lett. 73, 1927-1930.
-
(1994)
Phys. Rev. Lett.
, vol.73
, pp. 1927-1930
-
-
Dawson, S.1
Grebogi, C.2
Sauer, T.3
Yorke, J.A.4
-
8
-
-
84968480383
-
Numerical orbits of chaotic processes represent true orbits
-
Grebogi, C., Hammel, S. M. & Yorke, J. A. [1988a] "Numerical orbits of chaotic processes represent true orbits," Bull. Am. Math. Soc. 19, 465-470.
-
(1988)
Bull. Am. Math. Soc.
, vol.19
, pp. 465-470
-
-
Grebogi, C.1
Hammel, S.M.2
Yorke, J.A.3
-
9
-
-
29444438680
-
Unstable periodic orbits and the dimensions of multifractal chaotic attractors
-
Grebogi, C., Ott, E. & Yorke, J. A. [1988b] "Unstable periodic orbits and the dimensions of multifractal chaotic attractors," Phys. Rev. A37, 1711-1724.
-
(1988)
Phys. Rev.
, vol.A37
, pp. 1711-1724
-
-
Grebogi, C.1
Ott, E.2
Yorke, J.A.3
-
10
-
-
0000263135
-
Shadowing of physical trajectories in chaotic dynamics: Containment and refinement
-
Grebogi, C., Hammel, S. M., Yorke, J. A. & Sauer, T. [1990] "Shadowing of physical trajectories in chaotic dynamics: Containment and refinement," Phys. Rev. Lett. 65, 1527-1530.
-
(1990)
Phys. Rev. Lett.
, vol.65
, pp. 1527-1530
-
-
Grebogi, C.1
Hammel, S.M.2
Yorke, J.A.3
Sauer, T.4
-
11
-
-
0000265121
-
Synchronous chaos in coupled oscillator systems
-
Heagy, J. F., Carroll, T. L. & Pecora, L. M. [1994] "Synchronous chaos in coupled oscillator systems," Phys. Rev. E50, 1874-1885.
-
(1994)
Phys. Rev.
, vol.E50
, pp. 1874-1885
-
-
Heagy, J.F.1
Carroll, T.L.2
Pecora, L.M.3
-
12
-
-
0002591468
-
A two dimensional mapping with a strange attractor
-
Hénon, M. [1976] "A two dimensional mapping with a strange attractor," Commun. Math. Phys. 50, p. 69.
-
(1976)
Commun. Math. Phys.
, vol.50
, pp. 69
-
-
Hénon, M.1
-
13
-
-
0002623916
-
Unstable dimension variability: A source of nonhyperbolicity in chaotic systems
-
Kostelich, E. J., Kan, I., Grebogi, C., Ott, E. & Yorke, J. A. [1997] "Unstable dimension variability: A source of nonhyperbolicity in chaotic systems," Physica D109, 81-90.
-
(1997)
Physica
, vol.D109
, pp. 81-90
-
-
Kostelich, E.J.1
Kan, I.2
Grebogi, C.3
Ott, E.4
Yorke, J.A.5
-
14
-
-
0000861771
-
Characterization of the natural measure by unstable periodic orbits in chaotic attractors
-
Lai, Y.-C., Nagai, Y. & Grebogi, C. [1997] "Characterization of the natural measure by unstable periodic orbits in chaotic attractors," Phys. Rev. Lett. 79, 649-652.
-
(1997)
Phys. Rev. Lett.
, vol.79
, pp. 649-652
-
-
Lai, Y.-C.1
Nagai, Y.2
Grebogi, C.3
-
15
-
-
0001460304
-
Unstable dimension variability and complexity in chaotic systems
-
Lai, Y.-C. [1999] "Unstable dimension variability and complexity in chaotic systems," Phys. Rev. E59, R3807-R3810.
-
(1999)
Phys. Rev.
, vol.E59
-
-
Lai, Y.-C.1
-
16
-
-
0032614845
-
Modeling of coupled chaotic oscillators
-
Lai, Y.-C. & Grebogi, C. [1999] "Modeling of coupled chaotic oscillators," Phys. Rev. Lett. 82, 4803-4806.
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 4803-4806
-
-
Lai, Y.-C.1
Grebogi, C.2
-
17
-
-
0033092741
-
Modeling of deterministic chaotic systems
-
Lai, Y.-C., Grebogi, C. & Kurths, J. [1999] "Modeling of deterministic chaotic systems," Phys. Rev. E59, 2907-2910.
-
(1999)
Phys. Rev.
, vol.E59
, pp. 2907-2910
-
-
Lai, Y.-C.1
Grebogi, C.2
Kurths, J.3
-
18
-
-
4243299076
-
Periodic-orbit theory of the blowout bifurcation
-
Nagai, Y. & Lai, Y.-C. [1997] "Periodic-orbit theory of the blowout bifurcation," Phys. Rev. E56, 4031-4041.
-
(1997)
Phys. Rev.
, vol.E56
, pp. 4031-4041
-
-
Nagai, Y.1
Lai, Y.-C.2
-
19
-
-
4243241129
-
Master stability functions for synchronized coupled systems
-
Pecora, L. M. & Carroll, T. L. [1998] "Master stability functions for synchronized coupled systems," Phys. Rev. Lett. 80, 2109-2112.
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 2109-2112
-
-
Pecora, L.M.1
Carroll, T.L.2
-
20
-
-
0040693784
-
-
preprint
-
Poon, L., Grebogi, C., Sauer, T. & Yorke, J. A. [1996] "Obstruction to deterministic modeling," preprint.
-
(1996)
Obstruction to Deterministic Modeling
-
-
Poon, L.1
Grebogi, C.2
Sauer, T.3
Yorke, J.A.4
-
21
-
-
0003153450
-
How long do numerical chaotic solutions remain valid?
-
Sauer, T., Grebogi, C. & Yorke, J. A. [1997] "How long do numerical chaotic solutions remain valid?" Phys. Rev. Lett. 79, 59-62.
-
(1997)
Phys. Rev. Lett.
, vol.79
, pp. 59-62
-
-
Sauer, T.1
Grebogi, C.2
Yorke, J.A.3
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