-
2
-
-
0002085401
-
Phase synchronization of chaotic oscillations by a periodic external fields
-
A. Pikovsky, "Phase synchronization of chaotic oscillations by a periodic external fields," Sov. J. Commun. Technol. Electron. 30, 85-90 (1985).
-
(1985)
Sov. J. Commun. Technol. Electron.
, vol.30
, pp. 85-90
-
-
Pikovsky, A.1
-
3
-
-
0000196681
-
Frequency entrainment of a phase coherent attractor
-
E. Stone, "Frequency entrainment of a phase coherent attractor," Phys. Lett. A 163, 47-50 (1992).
-
(1992)
Phys. Lett. A
, vol.163
, pp. 47-50
-
-
Stone, E.1
-
4
-
-
17444382843
-
Phase synchronization of chaotic oscillators by external driving
-
A. Pikovsky, M. Rosenblum, G. Osipov, and J. Kurths, "Phase synchronization of chaotic oscillators by external driving," Physica D 104, 219-238 (1997).
-
(1997)
Physica D
, vol.104
, pp. 219-238
-
-
Pikovsky, A.1
Rosenblum, M.2
Osipov, G.3
Kurths, J.4
-
5
-
-
0001410639
-
Synchronous behavior of two coupled biological neurons
-
R. C. Elson, A. I. Selverston, R. Huerta, N. F. Rulkov, M. I. Rabinovich, and H. D. I. Abarbanel, "Synchronous behavior of two coupled biological neurons," Phys. Rev. Lett. 81, 5692-5695 (1998).
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 5692-5695
-
-
Elson, R.C.1
Selverston, A.I.2
Huerta, R.3
Rulkov, N.F.4
Rabinovich, M.I.5
Abarbanel, H.D.I.6
-
6
-
-
0032417622
-
Experimentally determined chaotic phase synchronization in a neuronal system
-
V. Makarenko and R. Llinás, "Experimentally determined chaotic phase synchronization in a neuronal system," Proc. Natl. Acad. Sci. U.S.A. 95, 15474-15752 (1998).
-
(1998)
Proc. Natl. Acad. Sci. U.S.A.
, vol.95
, pp. 15474-15752
-
-
Makarenko, V.1
Llinás, R.2
-
7
-
-
0028003827
-
Controlling chaos in the brain
-
S. J. Schiff, K. Jerger, D. H. Duong, T. Chang, M. L. Spano, and W. L. Ditto, "Controlling chaos in the brain," Nature (London) 370, 615-620 (1994).
-
(1994)
Nature (London)
, vol.370
, pp. 615-620
-
-
Schiff, S.J.1
Jerger, K.2
Duong, D.H.3
Chang, T.4
Spano, M.L.5
Ditto, W.L.6
-
9
-
-
0034310153
-
Phase synchronization of chaos in a plasma discharge tube
-
E. Rosa, W. Pardo, C. M. Ticos, J. A. Walkenstein, and M. Monti, "Phase synchronization of chaos in a plasma discharge tube," Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, 2551-2563 (2000).
-
(2000)
Int. J. Bifurcation Chaos Appl. Sci. Eng.
, vol.10
, pp. 2551-2563
-
-
Rosa, E.1
Pardo, W.2
Ticos, C.M.3
Walkenstein, J.A.4
Monti, M.5
-
11
-
-
0000376090
-
Phase synchronization of chaotic oscillations in terms of periodic orbits
-
A. Pikovsky. M. Zaks, M. Rosenblum, G. Osipov, and J. Kurths, "Phase synchronization of chaotic oscillations in terms of periodic orbits," Chaos 7, 680-687 (1997).
-
(1997)
Chaos
, vol.7
, pp. 680-687
-
-
Pikovsky, A.1
Zaks, M.2
Rosenblum, M.3
Osipov, G.4
Kurths, J.5
-
12
-
-
0242682586
-
Sporadically fractal basin boundaries of chaotic systems
-
B. R. Hunt, E. Ott, and E. Rosa, Jr., "Sporadically fractal basin boundaries of chaotic systems," Phys. Rev. Lett. 82, 3597-3600 (1999).
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 3597-3600
-
-
Hunt, B.R.1
Ott, E.2
Rosa E., Jr.3
-
13
-
-
0000326025
-
Transition to phase synchronization of chaos
-
E. Rosa, E. Ott, and M. H. Hess, "Transition to phase synchronization of chaos," Phys. Rev. Lett. 80, 1642-1645 (1998).
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 1642-1645
-
-
Rosa, E.1
Ott, E.2
Hess, M.H.3
-
15
-
-
0025388272
-
Oscillator death in systems of coupled neural oscillators
-
G. B. Ermentrout and N. Kopell, "Oscillator death in systems of coupled neural oscillators," SIAM J. Appl. Math. 50, 125-146 (1990).
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 125-146
-
-
Ermentrout, G.B.1
Kopell, N.2
-
18
-
-
0001181793
-
Spectral broadening of period-doubling bifurcation sequences
-
D. Farmer, "Spectral broadening of period-doubling bifurcation sequences," Phys. Rev. Lett. 47. 179-182 (1981).
-
(1981)
Phys. Rev. Lett.
, vol.47
, pp. 179-182
-
-
Farmer, D.1
-
19
-
-
0035510512
-
Phase synchronization of chaotic systems with small phase diffusion
-
K. Josić and D. J. Mar, "Phase synchronization of chaotic systems with small phase diffusion," Phys. Rev. E 64, 056234 (2001).
-
(2001)
Phys. Rev. E
, vol.64
, pp. 056234
-
-
Josić, K.1
Mar, D.J.2
-
20
-
-
0003411523
-
-
(Springer-Verlag, New York) (translated from Russian by A. B. Sosinskǐ)
-
I. P. Cornfeld. S. V. Fomin, and Ya. G. Sinaǐ, Ergodic Theory (Springer-Verlag, New York, 1982) (translated from Russian by A. B. Sosinskǐ).
-
(1982)
Ergodic Theory
-
-
Cornfeld, I.P.1
Fomin, S.V.2
Sinaǐ, Ya.G.3
-
21
-
-
84958266331
-
-
Strictly speaking we are considering the lift of φ to the line
-
Strictly speaking we are considering the lift of φ to the line.
-
-
-
-
22
-
-
0002283776
-
Central limit theorem for deterministic systems
-
Montevideo. Longman, Harlow
-
C. Liverani, "Central limit theorem for deterministic systems," in International Conference on Dynamical Systems, Montevideo. 1995 (Longman, Harlow, 1996), pp. 56-75.
-
(1995)
International Conference on Dynamical Systems
, pp. 56-75
-
-
Liverani, C.1
-
23
-
-
0003257107
-
Stochastic dynamics of deterministic systems
-
IMPA, Rio de Janeiro
-
M. Viana, Stochastic Dynamics of Deterministic Systems, Lecture Notes XXI Braz. Math. Colloq. IMPA, Rio de Janeiro, 1997.
-
(1997)
Lecture Notes XXI Braz. Math. Colloq.
-
-
Viana, M.1
-
24
-
-
0001209878
-
Developments in chaotic dynamics
-
L.-S. Young, "Developments in chaotic dynamics," Not. Am. Math. Soc. 45, 1318-1328 (1998).
-
(1998)
Not. Am. Math. Soc.
, vol.45
, pp. 1318-1328
-
-
Young, L.-S.1
-
27
-
-
0035275705
-
Phase signal coupling induced n:m phase synchronization in drive-response oscillators
-
J. Y. Chen, K. W. Wong, H. Y. Zheng, and J. W. Shuai, "Phase signal coupling induced n:m phase synchronization in drive-response oscillators," Phys. Rev. E 63, 036214 (2001).
-
(2001)
Phys. Rev. E
, vol.63
, pp. 036214
-
-
Chen, J.Y.1
Wong, K.W.2
Zheng, H.Y.3
Shuai, J.W.4
-
28
-
-
0012991938
-
Averaging in dynamical systems and large deviations
-
Y. Kifer, "Averaging in dynamical systems and large deviations," Invent. Math. 110, 337-370 (1992).
-
(1992)
Invent. Math.
, vol.110
, pp. 337-370
-
-
Kifer, Y.1
-
29
-
-
84976088163
-
Limit theorems in averaging for dynamical systems
-
Y. Kifer, "Limit theorems in averaging for dynamical systems," Ergod. Theory Dyn. Syst. 15, 1143-1172 (1995).
-
(1995)
Ergod. Theory Dyn. Syst.
, vol.15
, pp. 1143-1172
-
-
Kifer, Y.1
-
31
-
-
84995286273
-
-
An example of such a system can be found at http://math.bu.edu/people/ josic/research/research.html.
-
-
-
|