-
2
-
-
77249126865
-
Singular perturbations and vanishing passage through a turning point
-
De Maesschalck P., Dumortier F. Singular perturbations and vanishing passage through a turning point. J. Differential Equations 2010, 248(9):2294-2328. http://dx.doi.org/10.1016/j.jde.2009.11.009.
-
(2010)
J. Differential Equations
, vol.248
, Issue.9
, pp. 2294-2328
-
-
De Maesschalck, P.1
Dumortier, F.2
-
3
-
-
78149469696
-
-
Detectable canard cycles with singular slow dynamics of any order at the turning point, Discrete Contin. Dyn. Syst., in press
-
P. De Maesschalck, F. Dumortier, Detectable canard cycles with singular slow dynamics of any order at the turning point, Discrete Contin. Dyn. Syst., in press.
-
-
-
De Maesschalck, P.1
Dumortier, F.2
-
4
-
-
33646111687
-
Compactification and desingularization of spaces of polynomial Liénard equations
-
Dumortier F. Compactification and desingularization of spaces of polynomial Liénard equations. J. Differential Equations 2006, 224(2):296-313. http://dx.doi.org/10.1016/j.jde.2005.08.011.
-
(2006)
J. Differential Equations
, vol.224
, Issue.2
, pp. 296-313
-
-
Dumortier, F.1
-
5
-
-
0003048021
-
The versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues
-
Bogdanov R.I. The versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues. Trudy Sem. Petrovsk. 1976, 2:37-65.
-
(1976)
Trudy Sem. Petrovsk.
, vol.2
, pp. 37-65
-
-
Bogdanov, R.I.1
-
6
-
-
44949161870
-
Forced oscillations and bifurcations
-
Inst. Phys., Bristol
-
Takens F. Forced oscillations and bifurcations. Global Analysis of Dynamical Systems 2001, 1-61. Inst. Phys., Bristol.
-
(2001)
Global Analysis of Dynamical Systems
, pp. 1-61
-
-
Takens, F.1
-
7
-
-
0002336002
-
Techniques in the theory of local bifurcations: blow-up, normal forms, nilpotent bifurcations, singular perturbations
-
Kluwer Acad., Dordrecht, Bifurcations and Periodic Orbits of Vector Fields
-
Dumortier F. Techniques in the theory of local bifurcations: blow-up, normal forms, nilpotent bifurcations, singular perturbations. NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 1993, vol. 408:19-73. Kluwer Acad., Dordrecht.
-
(1993)
NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.
, vol.408
, pp. 19-73
-
-
Dumortier, F.1
-
8
-
-
78149464986
-
-
Bifurcations of multiple relaxation oscillations in polynomial Liénard equations, Trans. Amer. Math. Soc., in press
-
P. De Maesschalck, F. Dumortier, Bifurcations of multiple relaxation oscillations in polynomial Liénard equations, Trans. Amer. Math. Soc., in press.
-
-
-
De Maesschalck, P.1
Dumortier, F.2
-
9
-
-
0030136548
-
Canard cycles and center manifolds
-
with an appendix by Li Chengzhi
-
Dumortier F., Roussarie R. Canard cycles and center manifolds. Mem. Amer. Math. Soc. 1996, 121(577). x+100 pp., with an appendix by Li Chengzhi.
-
(1996)
Mem. Amer. Math. Soc.
, vol.121
, Issue.577
-
-
Dumortier, F.1
Roussarie, R.2
-
10
-
-
33646225464
-
On the saddle loop bifurcation
-
Springer, Berlin, Bifurcations of Planar Vector Fields
-
Dumortier F., Roussarie R. On the saddle loop bifurcation. Lecture Notes in Math. 1990, vol. 1455:44-73. Springer, Berlin. http://dx.doi.org/10.1007/BFb0085390.
-
(1990)
Lecture Notes in Math.
, vol.1455
, pp. 44-73
-
-
Dumortier, F.1
Roussarie, R.2
-
11
-
-
78149464561
-
Continuous dependence on parameters in the Bogdanov-Takens bifurcation
-
Longman Sci. Tech., Harlow, Geometry and Analysis in Nonlinear Dynamics
-
Annabi H., Annabi M.L., Dumortier F. Continuous dependence on parameters in the Bogdanov-Takens bifurcation. Pitman Res. Notes Math. Ser. 1992, vol. 222:1-21. Longman Sci. Tech., Harlow.
-
(1992)
Pitman Res. Notes Math. Ser.
, vol.222
, pp. 1-21
-
-
Annabi, H.1
Annabi, M.L.2
Dumortier, F.3
-
12
-
-
0000162712
-
Cubic Liénard equations with linear damping
-
Dumortier F., Rousseau C. Cubic Liénard equations with linear damping. Nonlinearity 1990, 3(4):1015-1039. http://stacks.iop.org/0951-7715/3/1015.
-
(1990)
Nonlinearity
, vol.3
, Issue.4
, pp. 1015-1039
-
-
Dumortier, F.1
Rousseau, C.2
-
13
-
-
0033586174
-
Polynomial Liénard equations near infinity
-
Dumortier F., Herssens C. Polynomial Liénard equations near infinity. J. Differential Equations 1999, 153(1):1-29.
-
(1999)
J. Differential Equations
, vol.153
, Issue.1
, pp. 1-29
-
-
Dumortier, F.1
Herssens, C.2
-
14
-
-
84892361168
-
Qualitative Theory of Planar Differential Systems
-
Springer-Verlag, Berlin
-
Dumortier F., Llibre J., Artés J. Qualitative Theory of Planar Differential Systems. Universitext 2006, Springer-Verlag, Berlin.
-
(2006)
Universitext
-
-
Dumortier, F.1
Llibre, J.2
Artés, J.3
-
15
-
-
48849115485
-
Canard cycles in the presence of slow dynamics with singularities
-
De Maesschalck P., Dumortier F. Canard cycles in the presence of slow dynamics with singularities. Proc. Roy. Soc. Edinburgh Sect. A 2008, 138(2):265-299.
-
(2008)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.138
, Issue.2
, pp. 265-299
-
-
De Maesschalck, P.1
Dumortier, F.2
-
16
-
-
0003244212
-
Bifurcation of Planar Vector Fields and Hilbert's Sixteenth Problem
-
Birkhäuser Verlag, Basel
-
Roussarie R. Bifurcation of Planar Vector Fields and Hilbert's Sixteenth Problem. Progr. Math. 1998, vol. 164. Birkhäuser Verlag, Basel.
-
(1998)
Progr. Math.
, vol.164
-
-
Roussarie, R.1
-
17
-
-
0035839416
-
Relaxation oscillation and canard explosion
-
Krupa M., Szmolyan P. Relaxation oscillation and canard explosion. J. Differential Equations 2001, 174(2):312-368.
-
(2001)
J. Differential Equations
, vol.174
, Issue.2
, pp. 312-368
-
-
Krupa, M.1
Szmolyan, P.2
-
18
-
-
48849105831
-
L'étude à l'infini de la bifurcation de Takens-Bogdanov
-
Boutat M. L'étude à l'infini de la bifurcation de Takens-Bogdanov. C. R. Acad. Sci. Paris Sér. I Math. 1993, 316(2):183-186.
-
(1993)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.316
, Issue.2
, pp. 183-186
-
-
Boutat, M.1
-
19
-
-
33646684699
-
Canard solutions at non-generic turning points
-
(electronic)
-
De Maesschalck P., Dumortier F. Canard solutions at non-generic turning points. Trans. Amer. Math. Soc. 2006, 358(5):2291-2334. (electronic). http://dx.doi.org/10.1090/S0002-9947-05-03839-0.
-
(2006)
Trans. Amer. Math. Soc.
, vol.358
, Issue.5
, pp. 2291-2334
-
-
De Maesschalck, P.1
Dumortier, F.2
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