-
4
-
-
44049111231
-
-
F. Romeiras, C. Grebogi, E. Ott, and W. P. Dayawansa, Physica D 58, 165 (1992);
-
(1992)
Physica D
, vol.58
, pp. 165
-
-
Romeiras, F.1
Grebogi, C.2
Ott, E.3
Dayawansa, W.P.4
-
5
-
-
11944254973
-
-
D. Auerbach, C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. Lett. 69, 3479 (1992);
-
(1992)
Phys. Rev. Lett.
, vol.69
, pp. 3479
-
-
Auerbach, D.1
Grebogi, C.2
Ott, E.3
Yorke, J.A.4
-
6
-
-
0000601493
-
-
T. Shinbrot, C. Grebogi, E. Ott, and J. A. Yorke, Nature (London) 363,411 (1993).
-
(1993)
Nature (London)
, vol.363
, pp. 411
-
-
Shinbrot, T.1
Grebogi, C.2
Ott, E.3
Yorke, J.A.4
-
10
-
-
0003582543
-
-
Cambridge University Press, Cambridge, England
-
E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, England, 1993).
-
(1993)
Chaos in Dynamical Systems
-
-
Ott, E.1
-
12
-
-
0001454658
-
-
T. Shinbrot, E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 65, 3215 (1990).
-
(1990)
Phys. Rev. Lett.
, vol.65
, pp. 3215
-
-
Shinbrot, T.1
Ott, E.2
Grebogi, C.3
Yorke, J.A.4
-
13
-
-
0000301863
-
-
T. Shinbrot, W. Ditto, C. Grebogi, E. Ott, M. Spano, and J. A. Yorke, Phys. Rev. Lett. 68, 2863 (1992);
-
(1992)
Phys. Rev. Lett.
, vol.68
, pp. 2863
-
-
Shinbrot, T.1
Ditto, W.2
Grebogi, C.3
Ott, E.4
Spano, M.5
Yorke, J.A.6
-
14
-
-
4243960760
-
-
T. Shinbrot, E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. A 45, 4165 (1992);
-
(1992)
Phys. Rev. A
, vol.45
, pp. 4165
-
-
Shinbrot, T.1
Ott, E.2
Grebogi, C.3
Yorke, J.A.4
-
15
-
-
0001673690
-
-
E. J. Kostelich, C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. E 47, 305 (1993).
-
(1993)
Phys. Rev. E
, vol.47
, pp. 305
-
-
Kostelich, E.J.1
Grebogi, C.2
Ott, E.3
Yorke, J.A.4
-
17
-
-
0000965724
-
-
D. Auerbach, P. Cvitanović, J. P. Eckmann, G. Gunaratne, and I. Procaccia, Phys. Rev. Lett. 58, 2387 (1987).
-
(1987)
Phys. Rev. Lett.
, vol.58
, pp. 2387
-
-
Auerbach, D.1
Cvitanović, P.2
Eckmann, J.P.3
Gunaratne, G.4
Procaccia, I.5
-
20
-
-
85035282003
-
-
T. Tél, in Directions in Chaos, edited by Hao Bai-lin (World Scientific, Singapore, 1990), Vol. 3, p. 149
-
T. Tél, in Directions in Chaos, edited by Hao Bai-lin (World Scientific, Singapore, 1990), Vol. 3, p. 149
-
-
-
-
25
-
-
0002631634
-
-
A. Csordás, G. Györgyi, P. Szépfalusy, and T. Tél, Chaos 3, 31 (1993).
-
(1993)
Chaos
, vol.3
, pp. 31
-
-
Csordás, A.1
Györgyi, G.2
Szépfalusy, P.3
Tél, T.4
-
38
-
-
24544478068
-
-
C. Grebogi, E. Ott, F. Romeiras, and J. A. Yorke, Phys. Rev. A 36, 5365 (1987).
-
(1987)
Phys. Rev. A
, vol.36
, pp. 5365
-
-
Grebogi, C.1
Ott, E.2
Romeiras, F.3
Yorke, J.A.4
-
39
-
-
45949120176
-
-
We use the term shadowing in connection with rather different phenomena
-
The term shadowing is used in many areas of physics. An important issue in nonlinear dynamics is to see whether a certain system (or class of systems) has a shadowing property. In chaotic systems, a numerical trajectory diverges exponentially fast from the true trajectory. Shadowing property of a chaotic system means that there exists a true trajectory with slightly different initial condition that stays close or shadows the numerical trajectory, e.g., see S. M. Hammel, J. A. Yorke, and C. Grebogi, J. Complexity 3, 136 (1987). We use the term shadowing in connection with rather different phenomena.
-
(1987)
J. Complexity
, vol.3
, pp. 136
-
-
Hammel, S.M.1
Yorke, J.A.2
Grebogi, C.3
|