-
1
-
-
0024037059
-
Normal forms near critical points for differential equations and maps
-
Ashkenazi M., and Chow S.N. Normal forms near critical points for differential equations and maps. IEEE Trans. Circuits Syst. 35 (1998) 850-862
-
(1998)
IEEE Trans. Circuits Syst.
, vol.35
, pp. 850-862
-
-
Ashkenazi, M.1
Chow, S.N.2
-
2
-
-
0032202459
-
van der Pol's oscillator under delayed feedback
-
Atay F.M. van der Pol's oscillator under delayed feedback. J. Sound Vibration 218 (1998) 333-339
-
(1998)
J. Sound Vibration
, vol.218
, pp. 333-339
-
-
Atay, F.M.1
-
3
-
-
3042629354
-
The forced van der Pol equation II: Canards in the reduced system
-
Bold K., Edwards C., Guckenheimer J., Guharay S., Hoffman K., Hubbard J., Oliva R., and Weckesser W. The forced van der Pol equation II: Canards in the reduced system. SIAM J. Appl. Dyn. Syst. 2 4 (2003) 570-608
-
(2003)
SIAM J. Appl. Dyn. Syst.
, vol.2
, Issue.4
, pp. 570-608
-
-
Bold, K.1
Edwards, C.2
Guckenheimer, J.3
Guharay, S.4
Hoffman, K.5
Hubbard, J.6
Oliva, R.7
Weckesser, W.8
-
4
-
-
0032153758
-
The periodic solution of van der Pol's equation
-
Buonomo A. The periodic solution of van der Pol's equation. SIAM J. Appl. Math. 59 1 (1998) 156-171
-
(1998)
SIAM J. Appl. Math.
, vol.59
, Issue.1
, pp. 156-171
-
-
Buonomo, A.1
-
7
-
-
0024037022
-
Normal forms for nonlinear vector fields - Part I: Theory and algorithm
-
Chua L.O., and Kokubu H. Normal forms for nonlinear vector fields - Part I: Theory and algorithm. IEEE Trans. Circuits Syst. 35 (1998) 863-880
-
(1998)
IEEE Trans. Circuits Syst.
, vol.35
, pp. 863-880
-
-
Chua, L.O.1
Kokubu, H.2
-
8
-
-
0024480164
-
Normal forms for nonlinear vector fields - Part II: Applications
-
Chua L.O., and Kokubu H. Normal forms for nonlinear vector fields - Part II: Applications. IEEE Trans. Circuits Syst. 35 (1998) 51-70
-
(1998)
IEEE Trans. Circuits Syst.
, vol.35
, pp. 51-70
-
-
Chua, L.O.1
Kokubu, H.2
-
9
-
-
0000840164
-
Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
-
Faria T., and Magalhães L.T. Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation. J. Differential Equations 122 (1995) 181-200
-
(1995)
J. Differential Equations
, vol.122
, pp. 181-200
-
-
Faria, T.1
Magalhães, L.T.2
-
10
-
-
0000840165
-
Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
-
Faria T., and Magalhães L.T. Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity. J. Differential Equations 122 (1995) 201-224
-
(1995)
J. Differential Equations
, vol.122
, pp. 201-224
-
-
Faria, T.1
Magalhães, L.T.2
-
11
-
-
4644363018
-
On the study of singularities for a plane system with two delays
-
Faria T. On the study of singularities for a plane system with two delays. J. Dyn. Contin. Discrete Impuls. Syst. Ser. A 10 (2003) 357-371
-
(2003)
J. Dyn. Contin. Discrete Impuls. Syst. Ser. A
, vol.10
, pp. 357-371
-
-
Faria, T.1
-
12
-
-
0035890834
-
Bifurcation in a planar system of differential delay equations modelling neural activity
-
Giannkopoulos F., and Zapp A. Bifurcation in a planar system of differential delay equations modelling neural activity. Physica D 159 (2001) 215-232
-
(2001)
Physica D
, vol.159
, pp. 215-232
-
-
Giannkopoulos, F.1
Zapp, A.2
-
13
-
-
0003478288
-
-
Springer-Verlag, New York
-
Guckenheimer J., and Holmes P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (1983), Springer-Verlag, New York
-
(1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
-
-
Guckenheimer, J.1
Holmes, P.2
-
14
-
-
3042631914
-
The forced van der Pol equation I: The slow flow and its bifurcation
-
Guckenheimer J., Hoffman K., and Weckesser W. The forced van der Pol equation I: The slow flow and its bifurcation. SIAM J. Appl. Dyn. Syst. 2 1 (2003) 1-35
-
(2003)
SIAM J. Appl. Dyn. Syst.
, vol.2
, Issue.1
, pp. 1-35
-
-
Guckenheimer, J.1
Hoffman, K.2
Weckesser, W.3
-
16
-
-
33947577308
-
-
E. Horozov, Versal deformations of equivariant vector fields for the cases of symmetry of order 2 and 3, in: Proceedings of Petrovskii Seminar, 5, Moscow State University, 1979, pp. 163-192 (in Russian)
-
-
-
-
17
-
-
33947581316
-
Bifurcated periodic solutions of for delayed van der Pol equation
-
Murakami K. Bifurcated periodic solutions of for delayed van der Pol equation. Neural Parallel Sci. Comput. 7 (1999)
-
(1999)
Neural Parallel Sci. Comput.
, vol.7
-
-
Murakami, K.1
-
18
-
-
0037113597
-
Oscillations in a Van der Pol equation with delayed argument
-
Oliveira J.C.F. Oscillations in a Van der Pol equation with delayed argument. J. Math. Anal. Appl. 275 (2002) 789-803
-
(2002)
J. Math. Anal. Appl.
, vol.275
, pp. 789-803
-
-
Oliveira, J.C.F.1
-
19
-
-
0037098114
-
Bifurcation analysis of a class of first-order nonlinear delay-differential equations with reflectional symmetry
-
Redmond B.F., LeBlanc V.G., and Longtin A. Bifurcation analysis of a class of first-order nonlinear delay-differential equations with reflectional symmetry. Physica D 166 (2002) 121-145
-
(2002)
Physica D
, vol.166
, pp. 121-145
-
-
Redmond, B.F.1
LeBlanc, V.G.2
Longtin, A.3
-
20
-
-
15944421482
-
Stability and bifurcation analysis in Van der Pol's oscillator with delayed feedback
-
Wei J., and Jiang W. Stability and bifurcation analysis in Van der Pol's oscillator with delayed feedback. J. Sound Vibration 283 (2005) 801-819
-
(2005)
J. Sound Vibration
, vol.283
, pp. 801-819
-
-
Wei, J.1
Jiang, W.2
-
21
-
-
0035507108
-
Multiple bifurcations in a delayed predator-prey system with non-monotonic function response
-
Xiao D., and Ruan S. Multiple bifurcations in a delayed predator-prey system with non-monotonic function response. J. Differential Equations 176 (2001) 494-510
-
(2001)
J. Differential Equations
, vol.176
, pp. 494-510
-
-
Xiao, D.1
Ruan, S.2
-
22
-
-
33845533069
-
Multiple bifurcation analysis in a neural network model with delays
-
Yuan Y., and Wei J. Multiple bifurcation analysis in a neural network model with delays. Internat. J. Bifur. Chaos 10 (2006) 2903-2913
-
(2006)
Internat. J. Bifur. Chaos
, vol.10
, pp. 2903-2913
-
-
Yuan, Y.1
Wei, J.2
-
23
-
-
0035324893
-
Computation of simplest normal forms of differential equations associated with a double-zero eigenvalues
-
Yuan Y., and Yu P. Computation of simplest normal forms of differential equations associated with a double-zero eigenvalues. Internat. J. Bifur. Chaos 12 5 (2001) 1307-1330
-
(2001)
Internat. J. Bifur. Chaos
, vol.12
, Issue.5
, pp. 1307-1330
-
-
Yuan, Y.1
Yu, P.2
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