-
1
-
-
54049109601
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.101.154101
-
K. Yoshimura and K. Arai, Phys. Rev. Lett. 101, 154101 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.101.154101
-
(2008)
Phys. Rev. Lett.
, vol.101
, pp. 154101
-
-
Yoshimura, K.1
Arai, K.2
-
4
-
-
34247893807
-
-
To phase-average the noise, the method of averaging is applied to the full Fokker-Planck equation (FPE) associated with Eq.d2. If we change to a moving reference frame Φ=φ+ψ with φ̇= ω̄+εZ(φ)x(t), we can derive the FPE for the density (ψ,t). If σ□1, (ψ,t) varies slowly compared to the oscillation period, hence we can average the diffusion coefficient, as in PRLTAO 0031-9007 10.1103/PhysRevLett.98.184101
-
To phase-average the noise, the method of averaging is applied to the full Fokker-Planck equation (FPE) associated with Eq. d2. If we change to a moving reference frame Φ=φ+ψ with φ̇= ω̄+εZ(φ)x(t), we can derive the FPE for the density (ψ,t). If σ□1, (ψ,t) varies slowly compared to the oscillation period, hence we can average the diffusion coefficient, as in H. Nakao, K. Arai, and Y. Kawamura, Phys. Rev. Lett. 98, 184101 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.184101
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 184101
-
-
Nakao, H.1
Arai, K.2
Kawamura, Y.3
-
5
-
-
0004291629
-
-
MIT Press, Cambridge, MA
-
P. Dayan and L.F. Abbott, Theoretical Neuroscience (MIT Press, Cambridge, MA, 2001), p. 20.
-
(2001)
Theoretical Neuroscience
, pp. 20
-
-
Dayan, P.1
Abbott, L.F.2
-
8
-
-
27244452102
-
-
PLEEE8 1539-3755 10.1103/PhysRevE.72.021911
-
B. Lindner, M.J. Chacron, and A. Longtin, Phys. Rev. E PLEEE8 1539-3755 72, 021911 (2005). 10.1103/PhysRevE.72.021911
-
(2005)
Phys. Rev. e
, vol.72
, pp. 021911
-
-
Lindner, B.1
Chacron, M.J.2
Longtin, A.3
-
10
-
-
0042531347
-
-
SMJMAP 0036-1399 10.1137/S0036139993258691
-
J. Franklin and W. Bair, SIAM J. Appl. Math. 55, 1074 (1995). SMJMAP 0036-1399 10.1137/S0036139993258691
-
(1995)
SIAM J. Appl. Math.
, vol.55
, pp. 1074
-
-
Franklin, J.1
Bair, W.2
-
11
-
-
1542351229
-
-
NEUCEB 0899-7667 10.1162/089976604322860668
-
E. Brown, J. Moehlis, and P. Holmes, Neural Comput. 16, 673 (2004). NEUCEB 0899-7667 10.1162/089976604322860668
-
(2004)
Neural Comput.
, vol.16
, pp. 673
-
-
Brown, E.1
Moehlis, J.2
Holmes, P.3
-
12
-
-
68949147887
-
-
PLEEE8 1539-3755 10.1103/PhysRevE.80.011911
-
A. Abouzeid and B. Ermentrout, Phys. Rev. E PLEEE8 1539-3755 80, 011911 (2009). 10.1103/PhysRevE.80.011911
-
(2009)
Phys. Rev. e
, vol.80
, pp. 011911
-
-
Abouzeid, A.1
Ermentrout, B.2
-
13
-
-
33846436806
-
-
BIOJAU 0006-3495 10.1529/biophysj.106.088021
-
T. Tateno and H. Robinson, Biophys. J. 92, 683 (2007). BIOJAU 0006-3495 10.1529/biophysj.106.088021
-
(2007)
Biophys. J.
, vol.92
, pp. 683
-
-
Tateno, T.1
Robinson, H.2
-
14
-
-
68649123371
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.103.024101
-
K. Ota, M. Nomura, and T. Aoyagi, Phys. Rev. Lett. 103, 024101 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.024101
-
(2009)
Phys. Rev. Lett.
, vol.103
, pp. 024101
-
-
Ota, K.1
Nomura, M.2
Aoyagi, T.3
-
16
-
-
19744369589
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.93.204103
-
J.N. Teramae and D. Tanaka, Phys. Rev. Lett. 93, 204103 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.204103
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 204103
-
-
Teramae, J.N.1
Tanaka, D.2
-
17
-
-
41349083704
-
-
PLEEE8 1539-3755 10.1103/PhysRevE.71.045201
-
D.S. Goldobin and A. Pikovsky, Phys. Rev. E PLEEE8 1539-3755 71, 045201(R) (2005); 10.1103/PhysRevE.71.045201
-
(2005)
Phys. Rev. e
, vol.71
-
-
Goldobin, D.S.1
Pikovsky, A.2
-
19
-
-
18044399484
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.87.068102
-
M. Rabinovich, Phys. Rev. Lett. 87, 068102 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.068102
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 068102
-
-
Rabinovich, M.1
-
20
-
-
33751048906
-
-
EULEEJ 0295-5075 10.1209/epl/i2006-10289-y
-
M. Timme, Europhys. Lett. 76, 367 (2006); EULEEJ 0295-5075 10.1209/epl/i2006-10289-y
-
(2006)
Europhys. Lett.
, vol.76
, pp. 367
-
-
Timme, M.1
-
21
-
-
34547245559
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.98.224101
-
M. Timme, Phys. Rev. Lett. 98, 224101 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.224101
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 224101
-
-
Timme, M.1
-
22
-
-
57949101731
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.101.248105
-
J.N. Teramae and T. Fukai, Phys. Rev. Lett. 101, 248105 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.248105
-
(2008)
Phys. Rev. Lett.
, vol.101
, pp. 248105
-
-
Teramae, J.N.1
Fukai, T.2
-
23
-
-
72049101585
-
-
arXive:0709.1947.
-
G.T. Kenyon, arXive:0709.1947.
-
-
-
Kenyon, G.T.1
|