-
1
-
-
84867969858
-
Stability and bifurcation analysis of a nonlinear dde model for drilling
-
Stone E, Campbell S, (2004) Stability and bifurcation analysis of a nonlinear dde model for drilling. Journal of Nonlinear Science 14: 27-57.
-
(2004)
Journal of Nonlinear Science
, vol.14
, pp. 27-57
-
-
Stone, E.1
Campbell, S.2
-
2
-
-
33846379924
-
Dual synchronization of chaos in mackey-glass electronic circuits with time-delayed feedback
-
Sano S, Uchida A, Yoshimori S, Roy R, (2007) Dual synchronization of chaos in mackey-glass electronic circuits with time-delayed feedback. Physical Review E 75: 016207.
-
(2007)
Physical Review E
, vol.75
, pp. 016207
-
-
Sano, S.1
Uchida, A.2
Yoshimori, S.3
Roy, R.4
-
4
-
-
0017714604
-
Oscillation and chaos in physiological control systems
-
Mackey M, Glass L, (1977) Oscillation and chaos in physiological control systems. Science 197: 287-289.
-
(1977)
Science
, vol.197
, pp. 287-289
-
-
Mackey, M.1
Glass, L.2
-
5
-
-
33745000977
-
Noise-resistant and synchronized oscillation of the segmentation clock
-
Horikawa K, Ishimatsu K, Yoshimoto E, Kondo S, Takeda H, (2006) Noise-resistant and synchronized oscillation of the segmentation clock. Nature 441: 719-723.
-
(2006)
Nature
, vol.441
, pp. 719-723
-
-
Horikawa, K.1
Ishimatsu, K.2
Yoshimoto, E.3
Kondo, S.4
Takeda, H.5
-
6
-
-
0041677612
-
Autoinhibition with transcriptional delay: A simple mechanism for the zebrafish somitogenesis oscillator
-
Lewis J, (2003) Autoinhibition with transcriptional delay: A simple mechanism for the zebrafish somitogenesis oscillator. Current Biology 13: 1398-1408.
-
(2003)
Current Biology
, vol.13
, pp. 1398-1408
-
-
Lewis, J.1
-
7
-
-
69249215528
-
The cyclic gene hes1 contributes to diverse differentiation responses of embryonic stem cells
-
Kobayashi T, Mizuno H, Imayoshi I, Furusawa C, Shirahige K, et al. (2009) The cyclic gene hes1 contributes to diverse differentiation responses of embryonic stem cells. Genes & Development 23: 1870-1875.
-
(2009)
Genes & Development
, vol.23
, pp. 1870-1875
-
-
Kobayashi, T.1
Mizuno, H.2
Imayoshi, I.3
Furusawa, C.4
Shirahige, K.5
-
8
-
-
79952766407
-
Intronic delay is essential for oscillatory expression in the segmentation clock
-
Takashima Y, Ohtsuka T, González A, Miyachi H, Kageyama R, (2011) Intronic delay is essential for oscillatory expression in the segmentation clock. Proceedings of the National Academy of Sciences 108: 3300-3305.
-
(2011)
Proceedings of the National Academy of Sciences
, vol.108
, pp. 3300-3305
-
-
Takashima, Y.1
Ohtsuka, T.2
González, A.3
Miyachi, H.4
Kageyama, R.5
-
9
-
-
78651491409
-
Delay in feedback repression by cryptochrome 1 is required for circadian clock function
-
Ukai-Tadenuma M, Yamada R, Xu H, Ripperger J, Liu A, et al. (2011) Delay in feedback repression by cryptochrome 1 is required for circadian clock function. Cell 144: 268-281.
-
(2011)
Cell
, vol.144
, pp. 268-281
-
-
Ukai-Tadenuma, M.1
Yamada, R.2
Xu, H.3
Ripperger, J.4
Liu, A.5
-
10
-
-
0141678045
-
Evidence from human scalp electroencephalograms of global chaotic itinerancy
-
Freeman W, (2003) Evidence from human scalp electroencephalograms of global chaotic itinerancy. Chaos 13: 1067-1077.
-
(2003)
Chaos
, vol.13
, pp. 1067-1077
-
-
Freeman, W.1
-
11
-
-
28844462803
-
Model for complex heart rate dynamics in health and diseases
-
Kotani K, Struzik Z, Takamasu K, Stanley H, Yamamoto Y, (2005) Model for complex heart rate dynamics in health and diseases. Physical Review E 72: 041904.
-
(2005)
Physical Review E
, vol.72
, pp. 041904
-
-
Kotani, K.1
Struzik, Z.2
Takamasu, K.3
Stanley, H.4
Yamamoto, Y.5
-
12
-
-
0000339310
-
Bifurcations in a nonlinear model of the baroreceptor-cardiac reflex
-
Seidel H, Herzel H, (1998) Bifurcations in a nonlinear model of the baroreceptor-cardiac reflex. Physica D: Nonlinear Phenomena 115: 145-160.
-
(1998)
Physica D: Nonlinear Phenomena
, vol.115
, pp. 145-160
-
-
Seidel, H.1
Herzel, H.2
-
13
-
-
0034233547
-
Transient phase locking patterns among respiration, heart rate and blood pressure during cardiorespiratory synchronization in humans
-
Censi F, Calcagnini G, Lino S, Seydnejad S, Kitney R, et al. (2000) Transient phase locking patterns among respiration, heart rate and blood pressure during cardiorespiratory synchronization in humans. Medical and Biological Engineering and Computing 38: 416-426.
-
(2000)
Medical and Biological Engineering and Computing
, vol.38
, pp. 416-426
-
-
Censi, F.1
Calcagnini, G.2
Lino, S.3
Seydnejad, S.4
Kitney, R.5
-
14
-
-
12344281204
-
Spatial and temporal structure of phase synchronization of spontaneous alpha eeg activity
-
Ito J, Nikolaev A, Leeuwen C, (2005) Spatial and temporal structure of phase synchronization of spontaneous alpha eeg activity. Biological Cybernetics 92: 54-60.
-
(2005)
Biological Cybernetics
, vol.92
, pp. 54-60
-
-
Ito, J.1
Nikolaev, A.2
Leeuwen, C.3
-
15
-
-
0031022266
-
Visuomotor integration is associated with zero time-lag synchronization among cortical areas
-
Roelfsema P, Engel A, Konig P, Singer W, (1997) Visuomotor integration is associated with zero time-lag synchronization among cortical areas. Nature 385: 157-161.
-
(1997)
Nature
, vol.385
, pp. 157-161
-
-
Roelfsema, P.1
Engel, A.2
Konig, P.3
Singer, W.4
-
16
-
-
0035137809
-
Traveling electrical waves in cortex: Insights from phase dynamics and speculation on a computational role
-
Ermentrout G, Kleinfeld D, (2001) Traveling electrical waves in cortex: Insights from phase dynamics and speculation on a computational role. Neuron 29: 33-44.
-
(2001)
Neuron
, vol.29
, pp. 33-44
-
-
Ermentrout, G.1
Kleinfeld, D.2
-
17
-
-
33645728533
-
Eeg synchronisation during sleep-related epileptic seizures as a new tool to discriminate confusional arousals from paroxysmal arousals: preliminary findings
-
Zucconi M, Manconi M, Bizzozero D, Rundo F, Stam C, et al. (2005) Eeg synchronisation during sleep-related epileptic seizures as a new tool to discriminate confusional arousals from paroxysmal arousals: preliminary findings. Neurological Sciences 26: s199-s204.
-
(2005)
Neurological Sciences
, vol.26
-
-
Zucconi, M.1
Manconi, M.2
Bizzozero, D.3
Rundo, F.4
Stam, C.5
-
19
-
-
3042842911
-
Instability of hes7 protein is crucial for the somite segmentation clock
-
Hirata H, Bessho Y, Kokubu H, Masamizu Y, Yamada S, et al. (2004) Instability of hes7 protein is crucial for the somite segmentation clock. Nature Genetics 36: 750-754.
-
(2004)
Nature Genetics
, vol.36
, pp. 750-754
-
-
Hirata, H.1
Bessho, Y.2
Kokubu, H.3
Masamizu, Y.4
Yamada, S.5
-
23
-
-
0000752411
-
Phase models with explicit time delays
-
Izhikevich E, (1998) Phase models with explicit time delays. Physical Review E 58: 905-908.
-
(1998)
Physical Review E
, vol.58
, pp. 905-908
-
-
Izhikevich, E.1
-
24
-
-
62749189854
-
Dynamics of epileptic seizures: Evolution, spreading, and suppression
-
Kim J, Roberts J, Robinson P, (2009) Dynamics of epileptic seizures: Evolution, spreading, and suppression. Journal of Theoretical Biology 257: 527-532.
-
(2009)
Journal of Theoretical Biology
, vol.257
, pp. 527-532
-
-
Kim, J.1
Roberts, J.2
Robinson, P.3
-
25
-
-
33947159569
-
Compact dynamical model of brain activity
-
Kim J, Robinson P, (2007) Compact dynamical model of brain activity. Physical Review E 75: 031907.
-
(2007)
Physical Review E
, vol.75
, pp. 031907
-
-
Kim, J.1
Robinson, P.2
-
26
-
-
0342936163
-
Stability, bifurcation, and multistability in a system of two coupled neurons with multiple time delays
-
Shayer L, Campbell S, (2000) Stability, bifurcation, and multistability in a system of two coupled neurons with multiple time delays. SIAM Journal on Applied Mathematics 61: 673-700.
-
(2000)
SIAM Journal on Applied Mathematics
, vol.61
, pp. 673-700
-
-
Shayer, L.1
Campbell, S.2
-
27
-
-
32844462800
-
Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system
-
Campbell S, Ncube I, Wu J, (2006) Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system. Physica D: Nonlinear Phenomena 214: 101-119.
-
(2006)
Physica D: Nonlinear Phenomena
, vol.214
, pp. 101-119
-
-
Campbell, S.1
Ncube, I.2
Wu, J.3
-
28
-
-
26944444656
-
Equivariant hopf bifurcation in a ring of identical cells with delayed coupling
-
Campbell S, Yuan Y, Bungay S, (2005) Equivariant hopf bifurcation in a ring of identical cells with delayed coupling. Nonlinearity 18: 2827-2846.
-
(2005)
Nonlinearity
, vol.18
, pp. 2827-2846
-
-
Campbell, S.1
Yuan, Y.2
Bungay, S.3
-
29
-
-
12244313650
-
Change in criticality of synchronous hopf bifurcation in a multiple-delayed neural system
-
Ncube I, Campbell S, Wu J, (2002) Change in criticality of synchronous hopf bifurcation in a multiple-delayed neural system. Fields Institute Communications 36: 179-193.
-
(2002)
Fields Institute Communications
, vol.36
, pp. 179-193
-
-
Ncube, I.1
Campbell, S.2
Wu, J.3
-
30
-
-
0027445242
-
Thalamocortical oscillations in the sleeping and aroused brain
-
Steriade M, McCormick D, Sejnowski T, (1993) Thalamocortical oscillations in the sleeping and aroused brain. Science 262: 679-685.
-
(1993)
Science
, vol.262
, pp. 679-685
-
-
Steriade, M.1
McCormick, D.2
Sejnowski, T.3
-
31
-
-
34250862190
-
Thalamic synchrony and dynamic regulation of global forebrain oscillations
-
Huguenard J, McCormick D, (2007) Thalamic synchrony and dynamic regulation of global forebrain oscillations. Trends in Neurosciences 30: 350-356.
-
(2007)
Trends in Neurosciences
, vol.30
, pp. 350-356
-
-
Huguenard, J.1
McCormick, D.2
-
32
-
-
0035318822
-
The brainweb: phase synchronization and large-scale integration
-
Varela F, Lachaux J, Rodriguez E, Martinerie J, (2001) The brainweb: phase synchronization and large-scale integration. Nature Reviews Neuroscience 2: 229-239.
-
(2001)
Nature Reviews Neuroscience
, vol.2
, pp. 229-239
-
-
Varela, F.1
Lachaux, J.2
Rodriguez, E.3
Martinerie, J.4
-
33
-
-
85035247673
-
Dynamics of large-scale brain activity in normal arousal states and epileptic seizures
-
Robinson P, Rennie C, Rowe D, (2002) Dynamics of large-scale brain activity in normal arousal states and epileptic seizures. Physical Review E 65: 041924.
-
(2002)
Physical Review E
, vol.65
, pp. 041924
-
-
Robinson, P.1
Rennie, C.2
Rowe, D.3
-
34
-
-
4444303207
-
Estimation of multiscale neurophysiologic parameters by electroencephalographic means
-
Robinson P, Rennie C, Rowe D, O'Connor S, (2004) Estimation of multiscale neurophysiologic parameters by electroencephalographic means. Human Brain Mapping 23: 53-72.
-
(2004)
Human Brain Mapping
, vol.23
, pp. 53-72
-
-
Robinson, P.1
Rennie, C.2
Rowe, D.3
O'Connor, S.4
-
36
-
-
0000766018
-
Delay-induced instabilities in nonlinear feedback systems
-
Wischert W, Wunderlin A, Pelster A, Olivier M, Groslambert J, (1994) Delay-induced instabilities in nonlinear feedback systems. Physical Review E 49: 203-219.
-
(1994)
Physical Review E
, vol.49
, pp. 203-219
-
-
Wischert, W.1
Wunderlin, A.2
Pelster, A.3
Olivier, M.4
Groslambert, J.5
-
38
-
-
65449145228
-
Diffusion-induced instability and chaos in random oscillator networks
-
Nakao H, Mikhailov A, (2009) Diffusion-induced instability and chaos in random oscillator networks. Physical Review E 79: 036214.
-
(2009)
Physical Review E
, vol.79
, pp. 036214
-
-
Nakao, H.1
Mikhailov, A.2
-
39
-
-
4444289719
-
Model based conjectures on mammalian clock controversies
-
Forger D, Peskin C, (2004) Model based conjectures on mammalian clock controversies. Journal of Theoretical Biology 230: 533-539.
-
(2004)
Journal of Theoretical Biology
, vol.230
, pp. 533-539
-
-
Forger, D.1
Peskin, C.2
-
40
-
-
0036594918
-
Meg responses during rhythmic finger tapping in humans to phasic stimulation and their interpretation based on neural mechanisms
-
Yoshino K, Takagi K, Nomura T, Sato S, Tonoike M, (2002) Meg responses during rhythmic finger tapping in humans to phasic stimulation and their interpretation based on neural mechanisms. Biological Cybernetics 86: 483-496.
-
(2002)
Biological Cybernetics
, vol.86
, pp. 483-496
-
-
Yoshino, K.1
Takagi, K.2
Nomura, T.3
Sato, S.4
Tonoike, M.5
-
42
-
-
0002045101
-
Theory of self-synchronization in the presence of native frequency distribution and external noises
-
Yamaguchi Y, Shimizu H, (1984) Theory of self-synchronization in the presence of native frequency distribution and external noises. Physica D: Nonlinear Phenomena 11: 212-226.
-
(1984)
Physica D: Nonlinear Phenomena
, vol.11
, pp. 212-226
-
-
Yamaguchi, Y.1
Shimizu, H.2
-
43
-
-
0035660758
-
Deep brain stimulation in epilepsy
-
Loddenkemper T, Pan A, Neme S, Baker K, Rezai A, et al. (2001) Deep brain stimulation in epilepsy. Journal of Clinical Neurophysiology 18: 514-532.
-
(2001)
Journal of Clinical Neurophysiology
, vol.18
, pp. 514-532
-
-
Loddenkemper, T.1
Pan, A.2
Neme, S.3
Baker, K.4
Rezai, A.5
-
44
-
-
0013458618
-
A mathematical model for the intracellular circadian rhythm generator
-
Scheper T, Klinkenberg D, Pennartz C, van Pelt J, (1999) A mathematical model for the intracellular circadian rhythm generator. The Journal of Neuroscience 19: 40-47.
-
(1999)
The Journal of Neuroscience
, vol.19
, pp. 40-47
-
-
Scheper, T.1
Klinkenberg, D.2
Pennartz, C.3
van Pelt, J.4
-
45
-
-
4444345315
-
A two variable delay model for the circadian rhythm of neurospora crassa
-
Sriram K, Gopinathan M, (2004) A two variable delay model for the circadian rhythm of neurospora crassa. Journal of Theoretical Biology 231: 23-38.
-
(2004)
Journal of Theoretical Biology
, vol.231
, pp. 23-38
-
-
Sriram, K.1
Gopinathan, M.2
-
49
-
-
0034652340
-
Gamma rhythms and beta rhythms have different synchronization properties
-
Kopell N, Ermentrout G, Whittington M, Traub R, (2000) Gamma rhythms and beta rhythms have different synchronization properties. Proceedings of the National Academy of Sciences 97: 1867-1872.
-
(2000)
Proceedings of the National Academy of Sciences
, vol.97
, pp. 1867-1872
-
-
Kopell, N.1
Ermentrout, G.2
Whittington, M.3
Traub, R.4
-
50
-
-
0033539518
-
Continuous and lurching traveling pulses in neuronal networks with delay and spatially decaying connectivity
-
Golomb D, Ermentrout G, (1999) Continuous and lurching traveling pulses in neuronal networks with delay and spatially decaying connectivity. Proceedings of the National Academy of Sciences 96: 13480-13485.
-
(1999)
Proceedings of the National Academy of Sciences
, vol.96
, pp. 13480-13485
-
-
Golomb, D.1
Ermentrout, G.2
-
51
-
-
7444259575
-
Chemical and electrical synapses perform complementary roles in the synchronization of interneuronal networks
-
Kopell N, Ermentrout G, (2004) Chemical and electrical synapses perform complementary roles in the synchronization of interneuronal networks. Proceedings of the National Academy of Sciences 101: 15482-15487.
-
(2004)
Proceedings of the National Academy of Sciences
, vol.101
, pp. 15482-15487
-
-
Kopell, N.1
Ermentrout, G.2
-
52
-
-
79251577062
-
Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling
-
Wang Q, Chen G, Perc M, (2011) Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling. PLoS ONE 6: e15851.
-
(2011)
PLoS ONE
, vol.6
-
-
Wang, Q.1
Chen, G.2
Perc, M.3
-
53
-
-
79051469197
-
Synchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability
-
Wang Q, Duan Z, Perc M, Chen G, (2008) Synchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability. EPL (Europhysics Letters) 83: 50008.
-
(2008)
EPL (Europhysics Letters)
, vol.83
, pp. 50008
-
-
Wang, Q.1
Duan, Z.2
Perc, M.3
Chen, G.4
-
54
-
-
69449089341
-
Synchronization transitions on scale-free neuronal networks due to finite information transmission delays
-
Wang Q, Perc M, Duan Z, Chen G, (2009) Synchronization transitions on scale-free neuronal networks due to finite information transmission delays. Physical Review E 80: 026206.
-
(2009)
Physical Review E
, vol.80
, pp. 026206
-
-
Wang, Q.1
Perc, M.2
Duan, Z.3
Chen, G.4
-
55
-
-
79957852030
-
Gap junctions and epileptic seizures-two sides of the same coin?
-
Volman V, Perc M, Bazhenov M, (2011) Gap junctions and epileptic seizures-two sides of the same coin? PLoS ONE 6: e20572.
-
(2011)
PLoS ONE
, vol.6
-
-
Volman, V.1
Perc, M.2
Bazhenov, M.3
|