-
2
-
-
0002256723
-
-
H. Fujisaka and T. Yamada, Prog. Theor. Phys. 69, 32 (1983); L. Pecora and T. Carroll, Phys. Rev. Lett. 64, 821 (1990); L. Kocarev and U. Parlitz, ibid. 74, 5028 (1995); U. Parlitz, L. Kocarev, T. Stojanovski, and H. Preckel, Phys. Rev. E 53, 4351 (1996).
-
(1983)
Prog. Theor. Phys.
, vol.69
, pp. 32
-
-
Fujisaka, H.1
Yamada, T.2
-
3
-
-
0343689904
-
-
H. Fujisaka and T. Yamada, Prog. Theor. Phys. 69, 32 (1983); L. Pecora and T. Carroll, Phys. Rev. Lett. 64, 821 (1990); L. Kocarev and U. Parlitz, ibid. 74, 5028 (1995); U. Parlitz, L. Kocarev, T. Stojanovski, and H. Preckel, Phys. Rev. E 53, 4351 (1996).
-
(1990)
Phys. Rev. Lett.
, vol.64
, pp. 821
-
-
Pecora, L.1
Carroll, T.2
-
4
-
-
11944272386
-
-
H. Fujisaka and T. Yamada, Prog. Theor. Phys. 69, 32 (1983); L. Pecora and T. Carroll, Phys. Rev. Lett. 64, 821 (1990); L. Kocarev and U. Parlitz, ibid. 74, 5028 (1995); U. Parlitz, L. Kocarev, T. Stojanovski, and H. Preckel, Phys. Rev. E 53, 4351 (1996).
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 5028
-
-
Kocarev, L.1
Parlitz, U.2
-
5
-
-
0000968779
-
-
H. Fujisaka and T. Yamada, Prog. Theor. Phys. 69, 32 (1983); L. Pecora and T. Carroll, Phys. Rev. Lett. 64, 821 (1990); L. Kocarev and U. Parlitz, ibid. 74, 5028 (1995); U. Parlitz, L. Kocarev, T. Stojanovski, and H. Preckel, Phys. Rev. E 53, 4351 (1996).
-
(1996)
Phys. Rev. E
, vol.53
, pp. 4351
-
-
Parlitz, U.1
Kocarev, L.2
Stojanovski, T.3
Preckel, H.4
-
6
-
-
22244479695
-
-
U. Parlitz, L. Kocarev, T. Stojanovski, and L. Junge, Physica D 9, 139 (1997).
-
(1997)
Physica D
, vol.9
, pp. 139
-
-
Parlitz, U.1
Kocarev, L.2
Stojanovski, T.3
Junge, L.4
-
7
-
-
5844395157
-
-
L. Kocarev and U. Parlitz, Phys. Rev. Lett. 77, 2206 (1996); L. Kocarev, Z. Tasev, and U. Parlitz, ibid. 79, 51 (1997); N. Parekh, S. Parthasarathy, and S. Sinha, ibid. 81, 1401 (1998); L. Junge, U. Parlitz, Z. Tasev, and L. Kocarev, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, 2265 (2000); L. Junge and U. Parlitz, Phys. Rev. E 61, 3736 (2000).
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 2206
-
-
Kocarev, L.1
Parlitz, U.2
-
8
-
-
0002636408
-
-
L. Kocarev and U. Parlitz, Phys. Rev. Lett. 77, 2206 (1996); L. Kocarev, Z. Tasev, and U. Parlitz, ibid. 79, 51 (1997); N. Parekh, S. Parthasarathy, and S. Sinha, ibid. 81, 1401 (1998); L. Junge, U. Parlitz, Z. Tasev, and L. Kocarev, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, 2265 (2000); L. Junge and U. Parlitz, Phys. Rev. E 61, 3736 (2000).
-
(1997)
Phys. Rev. Lett.
, vol.79
, pp. 51
-
-
Kocarev, L.1
Tasev, Z.2
Parlitz, U.3
-
9
-
-
0001019888
-
-
L. Kocarev and U. Parlitz, Phys. Rev. Lett. 77, 2206 (1996); L. Kocarev, Z. Tasev, and U. Parlitz, ibid. 79, 51 (1997); N. Parekh, S. Parthasarathy, and S. Sinha, ibid. 81, 1401 (1998); L. Junge, U. Parlitz, Z. Tasev, and L. Kocarev, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, 2265 (2000); L. Junge and U. Parlitz, Phys. Rev. E 61, 3736 (2000).
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 1401
-
-
Parekh, N.1
Parthasarathy, S.2
Sinha, S.3
-
10
-
-
0033475307
-
-
L. Kocarev and U. Parlitz, Phys. Rev. Lett. 77, 2206 (1996); L. Kocarev, Z. Tasev, and U. Parlitz, ibid. 79, 51 (1997); N. Parekh, S. Parthasarathy, and S. Sinha, ibid. 81, 1401 (1998); L. Junge, U. Parlitz, Z. Tasev, and L. Kocarev, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, 2265 (2000); L. Junge and U. Parlitz, Phys. Rev. E 61, 3736 (2000).
-
(2000)
Int. J. Bifurcation Chaos Appl. Sci. Eng.
, vol.9
, pp. 2265
-
-
Junge, L.1
Parlitz, U.2
Tasev, Z.3
Kocarev, L.4
-
11
-
-
0000896054
-
-
L. Kocarev and U. Parlitz, Phys. Rev. Lett. 77, 2206 (1996); L. Kocarev, Z. Tasev, and U. Parlitz, ibid. 79, 51 (1997); N. Parekh, S. Parthasarathy, and S. Sinha, ibid. 81, 1401 (1998); L. Junge, U. Parlitz, Z. Tasev, and L. Kocarev, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, 2265 (2000); L. Junge and U. Parlitz, Phys. Rev. E 61, 3736 (2000).
-
(2000)
Phys. Rev. E
, vol.61
, pp. 3736
-
-
Junge, L.1
Parlitz, U.2
-
12
-
-
12044257605
-
-
G. Hu and Z. Qu, Phys. Rev. Lett. 72, 68 (1994); R.O. Grigoriev, M.C. Cross, and H.G. Schuster, ibid. 79, 2795 (1997).
-
(1994)
Phys. Rev. Lett.
, vol.72
, pp. 68
-
-
Hu, G.1
Qu, Z.2
-
13
-
-
6144286656
-
-
G. Hu and Z. Qu, Phys. Rev. Lett. 72, 68 (1994); R.O. Grigoriev, M.C. Cross, and H.G. Schuster, ibid. 79, 2795 (1997).
-
(1997)
Phys. Rev. Lett.
, vol.79
, pp. 2795
-
-
Grigoriev, R.O.1
Cross, M.C.2
Schuster, H.G.3
-
14
-
-
0000156596
-
-
S. Boccaletti, J. Bragard, F.T. Arecchi, and H. Mancini, Phys. Rev. Lett. 83, 536 (1999).
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 536
-
-
Boccaletti, S.1
Bragard, J.2
Arecchi, F.T.3
Mancini, H.4
-
15
-
-
4243262725
-
-
M.G. Rosenblum, A. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996); U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, Phys. Rev. E 54, 2115 (1996); G. Osipov, A. Pikovsky, M. Rosenblum, and J. Kurths, ibid. 55, 2353 (1997); M.G. Rosenblum, A.S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 78, 4193 (1997).
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 1804
-
-
Rosenblum, M.G.1
Pikovsky, A.2
Kurths, J.3
-
16
-
-
0000272882
-
-
M.G. Rosenblum, A. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996); U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, Phys. Rev. E 54, 2115 (1996); G. Osipov, A. Pikovsky, M. Rosenblum, and J. Kurths, ibid. 55, 2353 (1997); M.G. Rosenblum, A.S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 78, 4193 (1997).
-
(1996)
Phys. Rev. E
, vol.54
, pp. 2115
-
-
Parlitz, U.1
Junge, L.2
Lauterborn, W.3
Kocarev, L.4
-
17
-
-
0000655970
-
-
M.G. Rosenblum, A. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996); U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, Phys. Rev. E 54, 2115 (1996); G. Osipov, A. Pikovsky, M. Rosenblum, and J. Kurths, ibid. 55, 2353 (1997); M.G. Rosenblum, A.S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 78, 4193 (1997).
-
(1997)
Phys. Rev. E
, vol.55
, pp. 2353
-
-
Osipov, G.1
Pikovsky, A.2
Rosenblum, M.3
Kurths, J.4
-
18
-
-
0031548743
-
-
M.G. Rosenblum, A. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996); U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, Phys. Rev. E 54, 2115 (1996); G. Osipov, A. Pikovsky, M. Rosenblum, and J. Kurths, ibid. 55, 2353 (1997); M.G. Rosenblum, A.S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 78, 4193 (1997).
-
(1997)
Phys. Rev. Lett.
, vol.78
, pp. 4193
-
-
Rosenblum, M.G.1
Pikovsky, A.S.2
Kurths, J.3
-
20
-
-
0342431625
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-
note
-
We can set the initial phase difference |Δφ|<π because the initial phases are only determined up to multiples of 2π.
-
-
-
-
21
-
-
0000248127
-
-
P. Tass, M. Rosenblum, J. Weule, J. Kurths, A. Pikovsky, J. Volkmann, A. Schnitzler, and H.-J. Freund, Phys. Rev. Lett. 81, 3291 (1998); C. Schäfer, M.G. Rosenblum, J. Kurths, and H.-H. Abel, Nature (London) 392, 239 (1998).
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 3291
-
-
Tass, P.1
Rosenblum, M.2
Weule, J.3
Kurths, J.4
Pikovsky, A.5
Volkmann, J.6
Schnitzler, A.7
Freund, H.-J.8
-
22
-
-
2642666488
-
-
P. Tass, M. Rosenblum, J. Weule, J. Kurths, A. Pikovsky, J. Volkmann, A. Schnitzler, and H.-J. Freund, Phys. Rev. Lett. 81, 3291 (1998); C. Schäfer, M.G. Rosenblum, J. Kurths, and H.-H. Abel, Nature (London) 392, 239 (1998).
-
(1998)
Nature (London)
, vol.392
, pp. 239
-
-
Schäfer, C.1
Rosenblum, M.G.2
Kurths, J.3
Abel, H.-H.4
-
23
-
-
0342866147
-
-
to be published
-
M. Palus, J. Kurths, U. Schwarz, D. Movotna, and I. Charvatova, Int. J. Bifurcation Chaos (to be published).
-
Int. J. Bifurcation Chaos
-
-
Palus, M.1
Kurths, J.2
Schwarz, U.3
Novotna, D.4
Charvatova, I.5
-
26
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0342866146
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note
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2 = 0; n,m ∈ N, which are the classical n:m resonances.
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27
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0343300566
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note
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v|〉 to a constant value when varying the coupling strength c. A motivation for this measure of PS is not given in Ref. [6] and we consider it not to be suitable for verifying PS or FS.
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28
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0342865540
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note
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This argument applies only in the noise-free case. In experiments the (usually Gaussian) noise induces phase slips and support on a proper subset of the circle is no longer possible. Therefore, with noisy data PS can only be verified in a statistical sense by observing a sharp peak in the histogram Fig. 4.
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-
-
-
29
-
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33744833457
-
-
N. Rulkov, M. Sushchik, L. Tsimring, and H. Abarbanel, Phys. Rev. E 51, 980 (1995); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996).
-
(1995)
Phys. Rev. E
, vol.51
, pp. 980
-
-
Rulkov, N.1
Sushchik, M.2
Tsimring, L.3
Abarbanel, H.4
-
30
-
-
0000929946
-
-
N. Rulkov, M. Sushchik, L. Tsimring, and H. Abarbanel, Phys. Rev. E 51, 980 (1995); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996).
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 1816
-
-
Kocarev, L.1
Parlitz, U.2
-
31
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0343736143
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note
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⊥ < 0 is not a sufficient condition, because there may exist some transversely unstable sets that can locally destroy the functional relationship.
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