-
1
-
-
0004252991
-
-
Addison-Wesley, Reading, MA
-
A. A. Andronov, A. A. Vitt, and S. E. Khaikin, Theory of Oscillators, Addison-Wesley, Reading, MA, 1966.
-
(1966)
Theory of Oscillators
-
-
Andronov, A.A.1
Vitt, A.A.2
Khaikin, S.E.3
-
2
-
-
84904775594
-
The study of the sensitivity of oscillatory systems
-
E. G. Bure and E. Rosenwasser, The study of the sensitivity of oscillatory systems, Autom. Remote Control, 7 (1974), pp. 1045-1052.
-
(1974)
Autom. Remote Control
, vol.7
, pp. 1045-1052
-
-
Bure, E.G.1
Rosenwasser, E.2
-
3
-
-
0033700459
-
Phase noise in oscillators: aunifying theory and numerical methods for characterization
-
I Regul. Pap.
-
A. Demir, A. Mehrotra, and J. Roychowdhury, Phase noise in oscillators: A unifying theory and numerical methods for characterization, IEEE Trans. Circuits Syst. I Regul. Pap., 47 (2000), pp. 655-674.
-
(2000)
IEEE Trans. Circuits Syst.
, vol.47
, pp. 655-674
-
-
Demir, A.1
Mehrotra, A.2
Roychowdhury, J.3
-
4
-
-
0037320460
-
A reliable and efficient procedure for oscillator ppv computation, with phase noise macromodeling applications
-
I Regul. Pap.
-
A. Demir and J. Roychowdhury, A reliable and efficient procedure for oscillator PPV computation, with phase noise macromodeling applications, IEEE Trans. Circuits Syst. I Regul. Pap., 22 (2003), pp. 188-197.
-
(2003)
IEEE Trans. Circuits Syst.
, vol.22
, pp. 188-197
-
-
Demir, A.1
Roychowdhury, J.2
-
5
-
-
0034148666
-
Floquet theory and non-linear perturbation analysis for oscillators with differential-algebraic equations
-
A. Demir, Floquet theory and non-linear perturbation analysis for oscillators with differential-algebraic equations, Int. J. Circ. Theory Appl., 28 (2000), pp. 163-185.
-
(2000)
Int. J. Circ. Theory Appl.
, vol.28
, pp. 163-185
-
-
Demir, A.1
-
6
-
-
2342460324
-
Computation of periodic solution bifurcations in odes using bordered systems
-
E. J. Doedel, W. Govaerts, and Y. A. Kuznetsov, Computation of periodic solution bifurcations in ODEs using bordered systems, SIAM J. Numer. Anal., 41 (2003), pp. 401-435.
-
(2003)
SIAM J. Numer. Anal.
, vol.41
, pp. 401-435
-
-
Doedel, E.J.1
Govaerts, W.2
Kuznetsov, Y.A.3
-
8
-
-
0031257067
-
Efficient sensitivity analysis of large-scale differential-algebraic systems
-
W. F. Feehery, J. E. Tolsma, and P. I. Barton, Efficient sensitivity analysis of large-scale differential-algebraic systems, Appl. Numer. Math., 25 (1997), pp. 41-54.
-
(1997)
Appl. Numer. Math.
, vol.25
, pp. 41-54
-
-
Feehery, W.F.1
Tolsma, J.E.2
Barton, P.I.3
-
9
-
-
0344736694
-
A detailed predictive model of the mammalian circadian clock
-
USA
-
D. B. Forger and C. S. Peskin, A detailed predictive model of the mammalian circadian clock, Proc. Natl. Acad. Sci. USA, 100 (2003), pp. 14806-14811.
-
(2003)
Proc. Natl. Acad. Sci.
, vol.100
, pp. 14806-14811
-
-
Forger, D.B.1
Peskin, C.S.2
-
10
-
-
33748465152
-
Isochron-based phase response analysis of circadian rhythms
-
R. Gunwan and F. J. Doyle, III, Isochron-based phase response analysis of circadian rhythms, Biophys. J., 91 (2006), pp. 2131-2141.
-
(2006)
Biophys. J.
, vol.91
, pp. 2131-2141
-
-
Gunwan, R.1
Doyle III, F.J.2
-
11
-
-
33847231933
-
-
2nd ed., SIAM, Philadelphia, PA
-
P. Hartman, Ordinary Differential Equations, 2nd ed., SIAM, Philadelphia, PA, 2002.
-
(2002)
Ordinary Differential Equations
-
-
Hartman, P.1
-
12
-
-
68149134268
-
User documentation for CVODES
-
Lawrence Livermore National Library, Livermore, CA
-
A. C. Hindmarsh and R. Serban, User Documentation for CVODES, an ODE Solver with Sensitivity Analysis Capabilities, Lawrence Livermore National Library, Livermore, CA, 2002.
-
(2002)
An ODE Solver with Sensitivity Analysis Capabilities
-
-
Hindmarsh, A.C.1
Serban, R.2
-
13
-
-
33645642280
-
Autonomously oscillating biochemical systems: parametric sensitivities of ext rema an d period
-
B. P. Ingalls, Autonomously oscillating biochemical systems: Parametric sensitivities of ext rema an d period, IEE Syst. Biol., 1 (2004), pp. 62-70.
-
(2004)
IEE Syst. Biol.
, vol.1
, pp. 62-70
-
-
Ingalls, B.P.1
-
14
-
-
0025491739
-
Analysis of white and f-αnoise in oscillators
-
F. X. Kaertner, Analysis of white and f-αnoise in oscillators, Int. J. Circ. Theor. Appl., 18 (1990), pp. 485-519.
-
(1990)
Int. J. Circ. Theor. Appl.
, vol.18
, pp. 485-519
-
-
Kaertner, F.X.1
-
15
-
-
0021502682
-
Sensitivity analysis of oscillatory systems
-
M. A. Kramer, H. Rabitz, and J. M. Calo, Sensitivity analysis of oscillatory systems, Appl. Math. Model., 8 (1984), pp. 328-340.
-
(1984)
Appl. Math. Model.
, vol.8
, pp. 328-340
-
-
Kramer, M.A.1
Rabitz, H.2
Calo, J.M.3
-
16
-
-
0041545040
-
Oscillations in differential-algebraic equations
-
E. Griepentrog, M. Hanke, and R. Maerz, eds., Technical report, Humboldt University, Berlin, Germany
-
R. Lamour, Oscillations in differential-algebraic equations, in Berliner Seminar on Differential Algebraic Equations, E. Griepentrog, M. Hanke, and R. Maerz, eds., Technical report, Humboldt University, Berlin, Germany, 1992.
-
(1992)
Berliner Seminar on Differential Algebraic Equations
-
-
Lamour, R.1
-
17
-
-
36549101824
-
Sensitivity analysis of limit cycles with application to the brusselator
-
R. Larter, H. Rabitz, and M. A. Kramer, Sensitivity analysis of limit cycles with application to the Brusselator, J. Chem. Phys., 80 (1984), pp. 4210-4128.
-
(1984)
J. Chem. Phys.
, vol.80
, pp. 4210-4128
-
-
Larter, R.1
Rabitz, H.2
Kramer, M.A.3
-
18
-
-
0012744123
-
Sensitivity analysis of autonomous oscillators. separation of secular terms and determination of structural stability
-
R. Larter, Sensitivity analysis of autonomous oscillators. Separation of secular terms and determination of structural stability, J. Phys. Chem., 87 (1983), pp. 3114-3121.
-
(1983)
J. Phys. Chem.
, vol.87
, pp. 3114-3121
-
-
Larter, R.1
-
19
-
-
0030083833
-
Efficient sensitivity analysis of large-scale differential-algebraic systems
-
T. Maly and L. R. Petzold, Efficient sensitivity analysis of large-scale differential-algebraic systems, Appl. Numer. Math., 20 (1996), pp. 57-79.
-
(1996)
Appl. Numer. Math.
, vol.20
, pp. 57-79
-
-
Maly, T.1
Petzold, L.R.2
-
20
-
-
25444433053
-
Cheap second order directional derivatives of stiff ode embedded functionals
-
D. B. Ozyurt and P. I. Barton, Cheap second order directional derivatives of stiff ODE embedded functionals, SIAM J. Sci. Comput., 26 (2005), pp. 1725-1743.
-
(2005)
SIAM J. Sci. Comput.
, vol.26
, pp. 1725-1743
-
-
Ozyurt, D.B.1
Barton, P.I.2
-
21
-
-
0001374796
-
NITSOL: A newton iterative solver for nonlinear systems
-
M. Pernice and H. F. Walker, NITSOL: A Newton iterative solver for nonlinear systems, SIAM J. Sci. Comput., 19 (1998), pp. 302-318.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 302-318
-
-
Pernice, M.1
Walker, H.F.2
-
23
-
-
0029991824
-
The temperature-compensated goodwin model simulates many circadian clock properties
-
P. Ruoff and L. Rensing, The temperature-compensated Goodwin model simulates many circadian clock properties, J. Theoret. Biol., 179 (1996), pp. 275-285.
-
(1996)
J. Theoret. Biol.
, vol.179
, pp. 275-285
-
-
Ruoff, P.1
Rensing, L.2
-
25
-
-
17744384248
-
Nonlinear dynamics and chaos
-
Cambridge, MA
-
S. H. Strogatz, Nonlinear Dynamics and Chaos, Perseus Books, Cambridge, MA, 1994.
-
(1994)
Perseus Books
-
-
Strogatz, S.H.1
-
26
-
-
0034083394
-
DAEPACK an open modeling environment for legacy models
-
J. Tolsma and P. I. Barton, DAEPACK: An open modeling environment for legacy models, Ind. Eng. Chem. Res., 39 (2000), pp. 1826-1839.
-
(2000)
Ind. Eng. Chem. Res.
, vol.39
, pp. 1826-1839
-
-
Tolsma, J.1
Barton, P.I.2
-
28
-
-
0032758081
-
A simple model of circadian rhythm based on dimerization proteolysis of per TIM
-
J. J. Tyson, C. I. Hong, C. D. Thron, and B. Novak, A simple model of circadian rhythm based on dimerization and proteolysis of PER and TIM, Biophys. J., 77 (1999), pp. 2411-2417.
-
(1999)
Biophys. J.
, vol.77
, pp. 2411-2417
-
-
Tyson, J.J.1
Hong, C.I.2
Thron, C.D.3
Novak, B.4
-
29
-
-
0003691678
-
-
Cambridge University Press, Cambridge, UK
-
A. Varma, M. Morbidelli, and H. Wu, Parametric Sensitivity in Chemical Systems, Cambridge University Press, Cambridge, UK, 1999.
-
(1999)
Parametric Sensitivity in Chemical Systems
-
-
Varma, A.1
Morbidelli, M.2
Wu, H.3
-
30
-
-
50549097178
-
Sensitivity analysis for oscillators
-
I. Vytyaz, D. C. Lee, P. K. Hanumolu, U.-K. Moon, and K. Mayaram, Sensitivity analysis for oscillators, IEEE Trans. Comput. Aided Design Integr. Circuits Syst., 27 (2008), pp. 1521-1534.
-
(2008)
IEEE Trans. Comput. Aided Design Integr. Circuits Syst.
, vol.27
, pp. 1521-1534
-
-
Vytyaz, I.1
Lee, D.C.2
Hanumolu, P.K.3
Moon, U.-K.4
Mayaram, K.5
-
31
-
-
37849004604
-
The per2 negative feedback loop sets the period in the mammalian circadian clock mechanism
-
A. K. Wilkins, P. I. Barton, and B. Tidor, The Per2 negative feedback loop sets the period in the mammalian circadian clock mechanism, PLoS Comput. Biol., 3 (2007), pp. 2476-2486.
-
(2007)
PLoS Comput. Biol.
, vol.3
, pp. 2476-2486
-
-
Wilkins, A.K.1
Barton, P.I.2
Tidor, B.3
-
32
-
-
15744389129
-
Sensitivity analysis of oscillatory (bio)chemical systems
-
D. E. Zak, J. Stelling, and F. J. Doyle, III, Sensitivity analysis of oscillatory (bio)chemical systems, Comput. Chem. Eng., 29 (2005), pp. 663-673.
-
(2005)
Comput. Chem. Eng.
, vol.29
, pp. 663-673
-
-
Zak, D.E.1
Stelling, J.2
Doyle III, F.J.3
-
33
-
-
58149358313
-
-
LLC Jacobian 3.0 Cambridge, MA
-
Jacobian 3.0, Numerica Technology, LLC, Cambridge, MA, 2007.
-
(2007)
Numerica Technology
-
-
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