-
1
-
-
0041029265
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.72.2009
-
R. Roy and K. S. Thornburg, Jr., Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.2009 72, 2009 (1994);
-
(1994)
Phys. Rev. Lett.
, vol.72
, pp. 2009
-
-
Roy, R.1
Thornburg Jr., K.S.2
-
2
-
-
37649027534
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.93.244102
-
A. Uchida, R. McAllister, and R. Roy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.244102 93, 244102 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 244102
-
-
Uchida, A.1
McAllister, R.2
Roy, R.3
-
3
-
-
0029030249
-
-
SCIEAS 0036-8075 10.1126/science.7770778
-
Z. F. Mainen and T. J. Sejnowski, Science SCIEAS 0036-8075 10.1126/science.7770778 268, 1503 (1995).
-
(1995)
Science
, vol.268
, pp. 1503
-
-
Mainen, Z.F.1
Sejnowski, T.J.2
-
5
-
-
33645578085
-
-
JNRSDS 0270-6474 10.1523/JNEUROSCI.4605-05.2006
-
R. F. Galan, N. F. Trocme, G. B. Ermentrout, and N. N. Urban, J. Neurosci. JNRSDS 0270-6474 10.1523/JNEUROSCI.4605-05.2006 26 (14), 3646 (2006).
-
(2006)
J. Neurosci.
, vol.26
, Issue.14
, pp. 3646
-
-
Galan, R.F.1
Trocme, N.F.2
Ermentrout, G.B.3
Urban, N.N.4
-
7
-
-
0035642257
-
-
CHAOEH 1054-1500 10.1063/1.1386397
-
R. Toral, C. R. Mirasso, E. HernÃndez-Garca, and O. Piro, Chaos CHAOEH 1054-1500 10.1063/1.1386397 11, 665 (2001).
-
(2001)
Chaos
, vol.11
, pp. 665
-
-
Toral, R.1
Mirasso, C.R.2
Hernãndez-Garca, E.3
Piro, O.4
-
8
-
-
0037054250
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.88.230602
-
C. Zhou and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.230602 88, 230602 (2002).
-
(2002)
Phys. Rev. Lett.
, vol.88
, pp. 230602
-
-
Zhou, C.1
Kurths, J.2
-
9
-
-
0036546156
-
-
NEUCEB 0899-7667 10.1162/089976602317318956
-
K. Pakdaman, Neural Comput. NEUCEB 0899-7667 10.1162/089976602317318956 14, 781 (2002).
-
(2002)
Neural Comput.
, vol.14
, pp. 781
-
-
Pakdaman, K.1
-
11
-
-
19744369589
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.93.204103
-
J. N. Teramae and D. Tanaka, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.204103 93, 204103 (2004);
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 204103
-
-
Teramae, J.N.1
Tanaka, D.2
-
13
-
-
41349083704
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.71.045201
-
D. S. Goldobin and A. Pikovsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.045201 71, 045201 (R) (2005);
-
(2005)
Phys. Rev. e
, vol.71
, pp. 045201
-
-
Goldobin, D.S.1
Pikovsky, A.2
-
14
-
-
15344351536
-
-
PHYADX 0378-4371 10.1016/j.physa.2004.12.014
-
D. S. Goldobin and A. Pikovsky, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.12.014 351, 126 (2005);
-
(2005)
Physica A
, vol.351
, pp. 126
-
-
Goldobin, D.S.1
Pikovsky, A.2
-
15
-
-
33745053321
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.73.061906
-
D. S. Goldobin and A. Pikovsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.061906 73, 061906 (2006).
-
(2006)
Phys. Rev. e
, vol.73
, pp. 061906
-
-
Goldobin, D.S.1
Pikovsky, A.2
-
16
-
-
41349109698
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.71.036217
-
K. Nagai, H. Nakao, and Y. Tsubo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.036217 71, 036217 (2005);
-
(2005)
Phys. Rev. e
, vol.71
, pp. 036217
-
-
Nagai, K.1
Nakao, H.2
Tsubo, Y.3
-
18
-
-
27244458227
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.72.026220
-
H. Nakao, K. S. Arai, K. Nagai, Y. Tsubo, and Y. Kuramoto, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.026220 72, 026220 (2005).
-
(2005)
Phys. Rev. e
, vol.72
, pp. 026220
-
-
Nakao, H.1
Arai, K.S.2
Nagai, K.3
Tsubo, Y.4
Kuramoto, Y.5
-
19
-
-
34247893807
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.98.184101
-
H. Nakao, K. Arai, and Y. Kawamura, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.184101 98, 184101 (2007).
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 184101
-
-
Nakao, H.1
Arai, K.2
Kawamura, Y.3
-
22
-
-
27944494462
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.71.065202
-
Y. Zhai, I. Z. Kiss, P. A. Tass, and J. L. Hudson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.065202 71, 065202 (R) (2005).
-
(2005)
Phys. Rev. e
, vol.71
, pp. 065202
-
-
Zhai, Y.1
Kiss, I.Z.2
Tass, P.A.3
Hudson, J.L.4
-
24
-
-
0003886783
-
-
Springer-Verlag, Tokyo, Dover, New York 2003
-
Y. Kuramoto, Chemical Oscillation, Waves, and Turbulence (Springer-Verlag, Tokyo, 1984) (republished by Dover, New York, 2003).
-
(1984)
Chemical Oscillation, Waves, and Turbulence
-
-
Kuramoto, Y.1
-
27
-
-
0038971304
-
-
IJESAN 0020-7225 10.1016/0020-7225(95)00085-2
-
E. Wong and M. Zakai, Int. J. Eng. Sci. IJESAN 0020-7225 10.1016/0020-7225(95)00085-2 3, 213 (1965).
-
(1965)
Int. J. Eng. Sci.
, vol.3
, pp. 213
-
-
Wong, E.1
Zakai, M.2
-
30
-
-
41549151278
-
-
arXiv:0705.4520v1). In uncoupled cases, the long-time average frequency of each oscillator remains unchanged, so that the average frequency difference between two oscillators never vanishes. Therefore, the phase difference continues to increase, unlike coupled oscillators where the phase difference locks at a certain value. In uncoupled cases, the synchronization appears as the tendency for the phase difference to stay at a certain value between successive one-period slips of the phase difference.
-
Strictly speaking, synchronization between uncoupled oscillators due to common external drive is somewhat different from synchronization between coupled oscillators (K. Yoshimura, P. Davis, and A. Uchida, e-print arXiv:0705.4520v1). In uncoupled cases, the long-time average frequency of each oscillator remains unchanged, so that the average frequency difference between two oscillators never vanishes. Therefore, the phase difference continues to increase, unlike coupled oscillators where the phase difference locks at a certain value. In uncoupled cases, the synchronization appears as the tendency for the phase difference to stay at a certain value between successive one-period slips of the phase difference.
-
-
-
Yoshimura, K.1
Davis, P.2
Uchida, A.3
-
31
-
-
0016440822
-
-
NATUAS 0028-0836 10.1038/253315a0
-
A. T. Winfree, Nature (London) NATUAS 0028-0836 10.1038/253315a0 253, 315 (1975).
-
(1975)
Nature (London)
, vol.253
, pp. 315
-
-
Winfree, A.T.1
-
32
-
-
35748968484
-
-
NCBIFN 1465-7392
-
H. Ukai, T. J. Kobayashi, M. Nagano, K. Masumoto, M. Sujino, T. Kondo, K. Yagita, Y. Shigeyoshi, and H. R. Ueda, Nat. Cell Biol. NCBIFN 1465-7392 9, 1327 (2007).
-
(2007)
Nat. Cell Biol.
, vol.9
, pp. 1327
-
-
Ukai, H.1
Kobayashi, T.J.2
Nagano, M.3
Masumoto, K.4
Sujino, M.5
Kondo, T.6
Yagita, K.7
Shigeyoshi, Y.8
Ueda, H.R.9
-
33
-
-
0002256723
-
-
PTPKAV 0033-068X 10.1143/PTP.69.32
-
H. Fujisaka and T. Yamada, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.69.32 69, 32 (1983);
-
(1983)
Prog. Theor. Phys.
, vol.69
, pp. 32
-
-
Fujisaka, H.1
Yamada, T.2
-
34
-
-
0000177111
-
-
PTPKAV 0033-068X 10.1143/PTP.70.1264
-
H. Fujisaka, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.70.1264 70, 1264 (1983);
-
(1983)
Prog. Theor. Phys.
, vol.70
, pp. 1264
-
-
Fujisaka, H.1
-
35
-
-
0000130634
-
-
PTPKAV 0033-068X 10.1143/PTP.74.918
-
H. Fujisaka and T. Yamada, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.74.918 74, 918 (1985).
-
(1985)
Prog. Theor. Phys.
, vol.74
, pp. 918
-
-
Fujisaka, H.1
Yamada, T.2
-
36
-
-
0001296111
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.49.1140
-
J. F. Heagy, N. Platt, and S. M. Hammel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.1140 49, 1140 (1994).
-
(1994)
Phys. Rev. e
, vol.49
, pp. 1140
-
-
Heagy, J.F.1
Platt, N.2
Hammel, S.M.3
-
37
-
-
0002881538
-
-
PDNPDT 0167-2789 10.1016/0167-2789(96)00014-0
-
S. C. Venkataramani, T. M. Antonsen, Jr., E. Ott, and J. C. Sommerer, Physica D PDNPDT 0167-2789 10.1016/0167-2789(96)00014-0 96, 66 (1996).
-
(1996)
Physica D
, vol.96
, pp. 66
-
-
Venkataramani, S.C.1
Antonsen Jr., T.M.2
Ott, E.3
Sommerer, J.C.4
-
38
-
-
0000899978
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.54.2468
-
M. Sauer and F. Kaiser, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.2468 54, 2468 (1996).
-
(1996)
Phys. Rev. e
, vol.54
, pp. 2468
-
-
Sauer, M.1
Kaiser, F.2
-
40
-
-
0000876302
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.83.749
-
T. John, R. Stannarius, and U. Behn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.749 83, 749 (1999).
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 749
-
-
John, T.1
Stannarius, R.2
Behn, U.3
-
41
-
-
0002696479
-
-
PYLAAG 0375-9601 10.1016/0375-9601(92)91049-W
-
A. S. Pikovsky, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(92) 91049-W 165, 33 (1992).
-
(1992)
Phys. Lett. A
, vol.165
, pp. 33
-
-
Pikovsky, A.S.1
-
42
-
-
29144488379
-
-
JSVIAG 0022-460X 10.1016/j.jsv.2005.03.010
-
K. Yoshida, K. Sato, and A. Sugamaga, J. Sound Vib. JSVIAG 0022-460X 10.1016/j.jsv.2005.03.010 290, 34 (2006).
-
(2006)
J. Sound Vib.
, vol.290
, pp. 34
-
-
Yoshida, K.1
Sato, K.2
Sugamaga, A.3
-
44
-
-
33846436806
-
-
BIOJAU 0006-3495 10.1529/biophysj.106.088021
-
T. Tateno and H. P. C. Robinson, Biophys. J. BIOJAU 0006-3495 10.1529/biophysj.106.088021 92, 683 (2007).
-
(2007)
Biophys. J.
, vol.92
, pp. 683
-
-
Tateno, T.1
Robinson, H.P.C.2
|