-
2
-
-
1542351229
-
On the phase reduction and response dynamics of neural oscillator populations
-
E. Brown, P. Holmes, and J. Moehlis, On the phase reduction and response dynamics of neural oscillator populations, Neural Comp., 16 (2004), pp. 673-715.
-
(2004)
Neural Comp.
, vol.16
, pp. 673-715
-
-
Brown, E.1
Holmes, P.2
Moehlis, J.3
-
3
-
-
27744477144
-
The parameterization method for invariant manifolds. III. Overview and applications
-
X. Cabré, E. Fontich, and R. de la Llave, The parameterization method for invariant manifolds. III. Overview and applications, J. Differential Equations, 218 (2005), pp. 444-515.
-
(2005)
J. Differential Equations
, vol.218
, pp. 444-515
-
-
Cabré, X.1
Fontich, E.2
De La Llave, R.3
-
4
-
-
0037379998
-
Role of melatonin in the regulation of human circadian rhythms and sleep
-
C. Cajochen, K. Kräuchi, and A. Wirz-Justice, Role of melatonin in the regulation of human circadian rhythms and sleep, J. Neuroendocrinology, 15 (2003), pp. 432-437.
-
(2003)
J. Neuroendocrinology
, vol.15
, pp. 432-437
-
-
Cajochen, C.1
Kräuchi, K.2
Wirz-Justice, A.3
-
6
-
-
0027998170
-
A functional model of the circadian system based on the degree of intercommunication in a complex system
-
A. Diez-Noguera, A functional model of the circadian system based on the degree of intercommunication in a complex system, Am. J. Physiol. Regul. Integr. Comp. Physiol., 267 (1994), pp. R1118-R1135.
-
(1994)
Am. J. Physiol. Regul. Integr. Comp. Physiol.
, vol.267
, pp. R1118-R1135
-
-
Diez-Noguera, A.1
-
7
-
-
0011924251
-
Simulating, analyzing, and animating dynamical systems: A guide to XPPAUT for researchers and students
-
SIAM, Philadelphia
-
B. Ermentrout, Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students, Software Environ. Tools 14, SIAM, Philadelphia, 2002.
-
(2002)
Software Environ. Tools
, vol.14
-
-
Ermentrout, B.1
-
8
-
-
0030195232
-
Type i membranes, phase resetting curves, and synchrony
-
G. B. Ermentrout, Type I membranes, phase resetting curves, and synchrony, Neural Comp., 8 (1996), pp. 979-1001.
-
(1996)
Neural Comp.
, vol.8
, pp. 979-1001
-
-
Ermentrout, G.B.1
-
9
-
-
33846421760
-
Multiple pulse interactions and averaging in systems of coupled neural oscillators
-
G. B. Ermentrout and N. Kopell, Multiple pulse interactions and averaging in systems of coupled neural oscillators, J. Math. Biol., 29 (1991), pp. 195-217.
-
(1991)
J. Math. Biol.
, vol.29
, pp. 195-217
-
-
Ermentrout, G.B.1
Kopell, N.2
-
10
-
-
34547894217
-
Limit cycles and Lie symmetries
-
E. Freire, A. Gasull, and A. Guillamon, Limit cycles and Lie symmetries, Bull. Sci. Math., 131 (2007), pp. 501-517.
-
(2007)
Bull. Sci. Math.
, vol.131
, pp. 501-517
-
-
Freire, E.1
Gasull, A.2
Guillamon, A.3
-
11
-
-
33645722312
-
Computation of the phase response curve: A direct numerical approach
-
W. Govaerts and B. Sautois, Computation of the phase response curve: A direct numerical approach, Neural Comp., 18 (2006), pp. 817-847.
-
(2006)
Neural Comp.
, vol.18
, pp. 817-847
-
-
Govaerts, W.1
Sautois, B.2
-
12
-
-
0003767674
-
Evaluating derivatives: Principles and techniques of algorithmic differentiation frontiers
-
SIAM, Philadelphia
-
A. Griewank, Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation, Frontiers Appl. Math. 19, SIAM, Philadelphia, 2000.
-
(2000)
Appl. Math.
, vol.19
-
-
Griewank, A.1
-
13
-
-
0016314153
-
Isochrons and phaseless sets
-
J. Guckenheimer, Isochrons and phaseless sets, J. Math. Biol., 1 (1974/75), pp. 259-273.
-
(1974)
J. Math. Biol.
, vol.1
, pp. 259-273
-
-
Guckenheimer, J.1
-
15
-
-
33750532700
-
A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: Numerical algorithms
-
A. Haro and R. de la Llave, A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: Numerical algorithms, Discrete Contin. Dyn. Syst. Ser. B, 6 (2006), pp. 1261-1300.
-
(2006)
Discrete Contin. Dyn. Syst. Ser. B
, vol.6
, pp. 1261-1300
-
-
Haro, A.1
De La Llave, R.2
-
16
-
-
0000044573
-
-
(Berkeley, CA, 1968), AMS, Providence, RI
-
M. W. Hirsch and C. C. Pugh, Stable manifolds and hyperbolic sets, in Global Analysis (Berkeley, CA, 1968), AMS, Providence, RI, 1970, pp. 133-163.
-
(1970)
Stable Manifolds and Hyperbolic Sets, in Global Analysis
, pp. 133-163
-
-
Hirsch, M.W.1
Pugh, C.C.2
-
17
-
-
4644319486
-
Dynamical systems in neuroscience: The geometry of excitability and bursting
-
MIT Press, Cambridge, MA
-
E. M. Izhikevich, Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting, Computational Neuroscience, MIT Press, Cambridge, MA, 2007.
-
(2007)
Computational Neuroscience
-
-
Izhikevich, E.M.1
-
19
-
-
0000010680
-
Growing 1D and quasi-2D unstable manifolds of maps
-
B. Krauskopf and H. Osinga, Growing 1D and quasi-2D unstable manifolds of maps, J. Comput. Phys., 146 (1998), pp. 404-419.
-
(1998)
J. Comput. Phys.
, vol.146
, pp. 404-419
-
-
Krauskopf, B.1
Osinga, H.2
-
20
-
-
0019405994
-
Voltage oscillations in the barnacle giant muscle fiber
-
C. Morris and H. Lecar, Voltage oscillations in the barnacle giant muscle fiber, Biophys. J., 35 (1981), pp. 193-213.
-
(1981)
Biophys. J.
, vol.35
, pp. 193-213
-
-
Morris, C.1
Lecar, H.2
-
21
-
-
0003686926
-
-
2nd ed., Grad Texts in Math. Springer- Verlag, New York
-
P. J. Olver, Applications of Lie Groups to Differential Equations, 2nd ed., Grad. Texts in Math. 107, Springer-Verlag, New York, 1993.
-
(1993)
Applications of Lie Groups to Differential Equations
, vol.107
-
-
Olver, P.J.1
-
22
-
-
0036583147
-
The influence of limit cycle topology on the phase resetting curve
-
S. Oprisan and C. Canavier, The influence of limit cycle topology on the phase resetting curve, Neural Comp., 14 (2002), pp. 1027-1057.
-
(2002)
Neural Comp.
, vol.14
, pp. 1027-1057
-
-
Oprisan, S.1
Canavier, C.2
-
23
-
-
34347341785
-
Digital signal processing reveals circadian baseline oscillation in majority of mammalian genes
-
A. Ptitsyn, S. Zvonic, and J. Gimble, Digital signal processing reveals circadian baseline oscillation in majority of mammalian genes, PLoS Comput. Biol., 3 (2007), pp. 1108-1114.
-
(2007)
PLoS Comput. Biol.
, vol.3
, pp. 1108-1114
-
-
Ptitsyn, A.1
Zvonic, S.2
Gimble, J.3
-
24
-
-
0002453062
-
Analysis of neural excitability and oscillations
-
C. Koch and I. Segev, eds., MIT Press, Cambridge, MA
-
J. Rinzel and G. Ermentrout, Analysis of neural excitability and oscillations, in Methods in Neural Modeling, C. Koch and I. Segev, eds., MIT Press, Cambridge, MA, 1998, pp. 135-169.
-
(1998)
Methods in Neural Modeling
, pp. 135-169
-
-
Rinzel, J.1
Ermentrout, G.2
-
26
-
-
0014258550
-
On the mechanism of single-frequency self-oscillations in glycolysis. A simple kinetic model
-
E. Selkov, On the mechanism of single-frequency self-oscillations in glycolysis. A simple kinetic model, European J. Biochem., 4 (1968), pp. 79-86.
-
(1968)
European J. Biochem.
, vol.4
, pp. 79-86
-
-
Selkov, E.1
-
27
-
-
0003053628
-
On the analytical and numerical approximation of invariant manifolds
-
D. Benest and C. Froeschlé, eds., Editions Frontières, Gif-sur-Yvette, France
-
C. Simó, On the analytical and numerical approximation of invariant manifolds, in Les Méthodes Modernes de la Méchanique Céleste, D. Benest and C. Froeschlé, eds., Editions Frontières, Gif-sur-Yvette, France, 1990, pp. 285-329.
-
(1990)
Les Méthodes Modernes de la Méchanique Céleste
, pp. 285-329
-
-
Simó, C.1
-
28
-
-
0016194585
-
Patterns of phase compromise in biological cycles
-
A. T. Winfree, Patterns of phase compromise in biological cycles, J. Math. Biol., 1 (1974/75), pp. 73-95.
-
(1974)
J. Math. Biol.
, vol.1
, pp. 73-95
-
-
Winfree, A.T.1
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