-
2
-
-
0013823048
-
Oscillatory behaviour in enzymatic control processes
-
Goodwin B.C. Oscillatory behaviour in enzymatic control processes. Adv. Enzyme Reg. 3 (1965) 425-438
-
(1965)
Adv. Enzyme Reg.
, vol.3
, pp. 425-438
-
-
Goodwin, B.C.1
-
3
-
-
0000046438
-
Transient oscillations in continuous-time excitatory ring neural networks with delay
-
Grotta-Ragazzo C., Arino O., Vibert J.-F., Pakdaman K., and Malta C.P. Transient oscillations in continuous-time excitatory ring neural networks with delay. Phys. Rev. E 55 (1997) 3234-3248
-
(1997)
Phys. Rev. E
, vol.55
, pp. 3234-3248
-
-
Grotta-Ragazzo, C.1
Arino, O.2
Vibert, J.-F.3
Pakdaman, K.4
Malta, C.P.5
-
4
-
-
0033640658
-
Existence and learning of oscillations in recurrent neural networks
-
Townley S., Ilchmann A., Weiss M.G., Mcclements W., Ruiz A.C., Owens D.H., and Praetzel-Wolters D. Existence and learning of oscillations in recurrent neural networks. IEEE Trans. Neural Netw. 11 1 (2000) 205-214
-
(2000)
IEEE Trans. Neural Netw.
, vol.11
, Issue.1
, pp. 205-214
-
-
Townley, S.1
Ilchmann, A.2
Weiss, M.G.3
Mcclements, W.4
Ruiz, A.C.5
Owens, D.H.6
Praetzel-Wolters, D.7
-
5
-
-
0041677612
-
Autoinhibition with transcriptional delay: a simple mechanism for the zebrafish somitogenesis oscillator
-
Lewis J. Autoinhibition with transcriptional delay: a simple mechanism for the zebrafish somitogenesis oscillator. Curr. Biol. 13 (2003) 1398-1408
-
(2003)
Curr. Biol.
, vol.13
, pp. 1398-1408
-
-
Lewis, J.1
-
6
-
-
0043180477
-
Oscillatory expression of Hes1, p53, and NF-κB driven by transcriptional time delays
-
Monk N.A.M. Oscillatory expression of Hes1, p53, and NF-κB driven by transcriptional time delays. Curr. Biol. 13 (2003) 1409-1413
-
(2003)
Curr. Biol.
, vol.13
, pp. 1409-1413
-
-
Monk, N.A.M.1
-
7
-
-
0034688173
-
A synthetic oscillatory network of transcriptional regulators
-
Elowitz M.B., and Leibler S. A synthetic oscillatory network of transcriptional regulators. Nature 403 (2000) 335-338
-
(2000)
Nature
, vol.403
, pp. 335-338
-
-
Elowitz, M.B.1
Leibler, S.2
-
8
-
-
0030102885
-
The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
-
Mallet-Paret J., and Sell G. The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay. J. Differential Equations 125 (1996) 441-489
-
(1996)
J. Differential Equations
, vol.125
, pp. 441-489
-
-
Mallet-Paret, J.1
Sell, G.2
-
9
-
-
33745815315
-
Stability and convergence in strongly monotone dynamical systems
-
Hirsch M.W. Stability and convergence in strongly monotone dynamical systems. Reine Angewandte Math. 383 (1988) 1-53
-
(1988)
Reine Angewandte Math.
, vol.383
, pp. 1-53
-
-
Hirsch, M.W.1
-
12
-
-
33644537705
-
I/O monotone small-gain theorems, and biological delay systems
-
Enciso G.A., and Global attractivity E.D.Sontag. I/O monotone small-gain theorems, and biological delay systems. Discret. Contin. Dyn. Syst. 14 (2006) 549-578
-
(2006)
Discret. Contin. Dyn. Syst.
, vol.14
, pp. 549-578
-
-
Enciso, G.A.1
Sontag, E.D.2
-
13
-
-
33645940926
-
Non-monotone systems decomposable into monotone systems with negative feedback
-
Enciso G.A., Smith H.L., and Sontag E.D. Non-monotone systems decomposable into monotone systems with negative feedback. J. Differential Equations 224 (2006) 205-227
-
(2006)
J. Differential Equations
, vol.224
, pp. 205-227
-
-
Enciso, G.A.1
Smith, H.L.2
Sontag, E.D.3
-
14
-
-
11144226518
-
On the stability of a model of testosterone dynamics
-
Enciso G.A., and Sontag E.D. On the stability of a model of testosterone dynamics. J. Math. Biol. 49 (2004) 627-634
-
(2004)
J. Math. Biol.
, vol.49
, pp. 627-634
-
-
Enciso, G.A.1
Sontag, E.D.2
-
15
-
-
4444294821
-
Interconnections of monotone systems with steady-state characteristics
-
Malisoff de Queiroz M., and Wolenski P. (Eds), Springer Verlag, Heidelberg
-
Angeli D., and Sontag E.D. Interconnections of monotone systems with steady-state characteristics. In: Malisoff de Queiroz M., and Wolenski P. (Eds). Optimal, Control, Stabilization, Nonsmooth Analalysis (2004), Springer Verlag, Heidelberg 135-154
-
(2004)
Optimal, Control, Stabilization, Nonsmooth Analalysis
, pp. 135-154
-
-
Angeli, D.1
Sontag, E.D.2
-
16
-
-
34249709050
-
-
E.D. Sontag. A remark on monotone i/o systems. arXiv:math.OC/0503311v1, March 2005.
-
-
-
-
17
-
-
0000000622
-
On a high order differential delay equation
-
Hale J., and Ivanov A. On a high order differential delay equation. J. Math. Anal. Appl. 173 (1993) 505-514
-
(1993)
J. Math. Anal. Appl.
, vol.173
, pp. 505-514
-
-
Hale, J.1
Ivanov, A.2
-
18
-
-
0001842517
-
Global continuation and asymptotic behavior for periodic solutions of a differential-delay equation
-
Mallet-Paret J., and Nussbaum R.D. Global continuation and asymptotic behavior for periodic solutions of a differential-delay equation. Ann. Mat. Pura. App. IV (1986) 33-128
-
(1986)
Ann. Mat. Pura. App.
, vol.IV
, pp. 33-128
-
-
Mallet-Paret, J.1
Nussbaum, R.D.2
-
19
-
-
0017439216
-
Periodic solutions of difference differential equations
-
Hadeler K.P., and Tomiuk J. Periodic solutions of difference differential equations. Arch. Rat. Mech. Anal. 65 (1977) 87-95
-
(1977)
Arch. Rat. Mech. Anal.
, vol.65
, pp. 87-95
-
-
Hadeler, K.P.1
Tomiuk, J.2
-
20
-
-
4944240909
-
Periodic solutions for three-dimensional systems with time-delays
-
Ivanov A.F., and Lani-Wayda B. Periodic solutions for three-dimensional systems with time-delays. Discret. Contin. Dyn. Syst. 11 2 (2004) 667-692
-
(2004)
Discret. Contin. Dyn. Syst.
, vol.11
, Issue.2
, pp. 667-692
-
-
Ivanov, A.F.1
Lani-Wayda, B.2
-
22
-
-
0000226142
-
Morse decompositions for delay differential equations
-
Mallet-Paret J. Morse decompositions for delay differential equations. J. Differential Equations 72 (1988) 270-315
-
(1988)
J. Differential Equations
, vol.72
, pp. 270-315
-
-
Mallet-Paret, J.1
-
23
-
-
34249703033
-
-
G.A. Enciso, E.D. Sontag, A characterization of the stability of strongly monotone systems, submitted for publication.
-
-
-
-
24
-
-
0037357623
-
Wright type delay differential equations with negative schwarzian
-
Liz E., Pinto M., Robledo G., Trofimchuk S., and Tkachenko V. Wright type delay differential equations with negative schwarzian. Discret. Contin. Dyn. Syst. 9 2 (2003) 309-321
-
(2003)
Discret. Contin. Dyn. Syst.
, vol.9
, Issue.2
, pp. 309-321
-
-
Liz, E.1
Pinto, M.2
Robledo, G.3
Trofimchuk, S.4
Tkachenko, V.5
-
25
-
-
13744262451
-
Modelling periodic oscillation in gene regulatory networks by cyclic feedback systems
-
Wang R., Jing Z., and Chen L. Modelling periodic oscillation in gene regulatory networks by cyclic feedback systems. Bull. Math. Biol. 67 (2005) 339-367
-
(2005)
Bull. Math. Biol.
, vol.67
, pp. 339-367
-
-
Wang, R.1
Jing, Z.2
Chen, L.3
-
26
-
-
0023080895
-
Oscillations and multiple steady states in a cyclic gene model with repression
-
Smith H.L. Oscillations and multiple steady states in a cyclic gene model with repression. J. Math. Biol. 25 (1987) 169-190
-
(1987)
J. Math. Biol.
, vol.25
, pp. 169-190
-
-
Smith, H.L.1
-
28
-
-
21944436489
-
Some remarks on a boundedness assumption for monotone dynamical systems
-
Dancer E.N. Some remarks on a boundedness assumption for monotone dynamical systems. Proc. AMS 126 3 (1998) 801-807
-
(1998)
Proc. AMS
, vol.126
, Issue.3
, pp. 801-807
-
-
Dancer, E.N.1
-
29
-
-
1042288931
-
Multistability in monotone input/output systems
-
Angeli D., and Sontag E.D. Multistability in monotone input/output systems. Syst. Control Lett. 51 (2004) 185-202
-
(2004)
Syst. Control Lett.
, vol.51
, pp. 185-202
-
-
Angeli, D.1
Sontag, E.D.2
-
30
-
-
23044522449
-
Diagonal dominance and harmless off-diagonal delays
-
Hofbauer J., and So J.W.-H. Diagonal dominance and harmless off-diagonal delays. Proc. AMS 128 9 (2000) 2675-2682
-
(2000)
Proc. AMS
, vol.128
, Issue.9
, pp. 2675-2682
-
-
Hofbauer, J.1
So, J.W.-H.2
-
32
-
-
0002275384
-
The dynamics of feedback control circuits in biochemical pathways
-
Snell F.M., and Rosen R. (Eds), Academic Press, New York
-
Tyson J.J., and Othmer H.G. The dynamics of feedback control circuits in biochemical pathways. In: Snell F.M., and Rosen R. (Eds). Progress of Theoretical Biology, vol. 5 (1978), Academic Press, New York 1-62
-
(1978)
Progress of Theoretical Biology, vol. 5
, pp. 1-62
-
-
Tyson, J.J.1
Othmer, H.G.2
-
33
-
-
17644361813
-
-
American Mathematical Society, Providence, RI
-
Gedeon T. Cyclic Feedback Systems (1998), American Mathematical Society, Providence, RI
-
(1998)
Cyclic Feedback Systems
-
-
Gedeon, T.1
-
34
-
-
0002703577
-
Existence of periodic orbits for negative feedback cellular control systems
-
Hastings S.P., Tyson J., and Webster D. Existence of periodic orbits for negative feedback cellular control systems. J. Differential Equations 25 (1977) 39-64
-
(1977)
J. Differential Equations
, vol.25
, pp. 39-64
-
-
Hastings, S.P.1
Tyson, J.2
Webster, D.3
-
35
-
-
0001051330
-
The Poincare-Bendixson theorem for monotone cyclic feedback systems
-
Smith H.L., and Mallet-Paret J. The Poincare-Bendixson theorem for monotone cyclic feedback systems. J. Dyn. Differential Equations 2 4 (1990) 367-421
-
(1990)
J. Dyn. Differential Equations
, vol.2
, Issue.4
, pp. 367-421
-
-
Smith, H.L.1
Mallet-Paret, J.2
-
36
-
-
84967728280
-
Prevalence: a translation-invariant 'almost every' on infinite-dimensional spaces
-
Addendum, Bull. Amer. Math. Soc. 28 (1993), 306-307
-
Hunt B., Sauer T., and Yorke J. Prevalence: a translation-invariant 'almost every' on infinite-dimensional spaces. Bull. Amer. Math. Soc. 27 (1992) 217-238 Addendum, Bull. Amer. Math. Soc. 28 (1993), 306-307
-
(1992)
Bull. Amer. Math. Soc.
, vol.27
, pp. 217-238
-
-
Hunt, B.1
Sauer, T.2
Yorke, J.3
-
37
-
-
34249737558
-
-
M. Hirsch, H.L. Smith. Competitive and cooperative systems: a mini-review. In Alberto De Santis Luca Benvenuti, Lorenzo Farina, (Eds.), Proceedings of the First Multidisciplinary Symposium on Positive Systems (POSTA 2003). Springer Verlag, Heidelberg, 2003.
-
-
-
|