-
2
-
-
33846310359
-
-
A.A. Andronov, E.A. Leontovich, I.E. Gordon, A.G. Maier, The theory of bifurcations of dynamical systems on a plane, Israel program of scientific translations, Jerusalem, 1971
-
-
-
-
4
-
-
0036012116
-
The cyclicity of period annuli of degenerate quadratic Hamiltonian systems with elliptic segment loops
-
Chow S.N., Li C.Z., and Yi Y.F. The cyclicity of period annuli of degenerate quadratic Hamiltonian systems with elliptic segment loops. Ergodic Theory Dynam. Systems 22 2 (2002) 349-374
-
(2002)
Ergodic Theory Dynam. Systems
, vol.22
, Issue.2
, pp. 349-374
-
-
Chow, S.N.1
Li, C.Z.2
Yi, Y.F.3
-
6
-
-
0035841053
-
Perturbations from an elliptic Hamiltonian of degree four. I: Saddle loop and two saddle cycle
-
Dumortier F., and Li C.Z. Perturbations from an elliptic Hamiltonian of degree four. I: Saddle loop and two saddle cycle. J. Differential Equations 176 1 (2001) 114-157
-
(2001)
J. Differential Equations
, vol.176
, Issue.1
, pp. 114-157
-
-
Dumortier, F.1
Li, C.Z.2
-
8
-
-
0012818307
-
The stability of separatrix loops and limit cycle bifurcations
-
Feng B., and Qian M. The stability of separatrix loops and limit cycle bifurcations. Acta Math. Sinica 28 1 (1985) 53-70
-
(1985)
Acta Math. Sinica
, vol.28
, Issue.1
, pp. 53-70
-
-
Feng, B.1
Qian, M.2
-
9
-
-
0031172970
-
An explicit expression, of the first Lyapunov and period constants with applications
-
Gasull A., Guillamon A., and Manosa V. An explicit expression, of the first Lyapunov and period constants with applications. J. Math. Anal. Appl. 211 (1997) 190-212
-
(1997)
J. Math. Anal. Appl.
, vol.211
, pp. 190-212
-
-
Gasull, A.1
Guillamon, A.2
Manosa, V.3
-
10
-
-
0002383108
-
Cyclicity of planar homoclinic loops and quadratic integrable systems
-
Han M. Cyclicity of planar homoclinic loops and quadratic integrable systems. Sci. China Ser. A 40 12 (1997) 1247-1258
-
(1997)
Sci. China Ser. A
, vol.40
, Issue.12
, pp. 1247-1258
-
-
Han, M.1
-
11
-
-
0042689676
-
On the number of limit cycles in double homoclinic bifurcations
-
Han M., and Chen J. On the number of limit cycles in double homoclinic bifurcations. Sci. China Ser. A 43 9 (2000) 914-928
-
(2000)
Sci. China Ser. A
, vol.43
, Issue.9
, pp. 914-928
-
-
Han, M.1
Chen, J.2
-
12
-
-
0037408724
-
On the stability of double homoclinic and heteroclinic cycles
-
Han M., Hu S., and Liu X. On the stability of double homoclinic and heteroclinic cycles. Nonlinear Anal. 53 (2003) 701-713
-
(2003)
Nonlinear Anal.
, vol.53
, pp. 701-713
-
-
Han, M.1
Hu, S.2
Liu, X.3
-
13
-
-
0000474566
-
Generalized Hopf bifurcation and its dual: Generalized homoclinic bifurcation
-
Joyal P. Generalized Hopf bifurcation and its dual: Generalized homoclinic bifurcation. SIAM J. Appl. Math. 48 (1988) 481-496
-
(1988)
SIAM J. Appl. Math.
, vol.48
, pp. 481-496
-
-
Joyal, P.1
-
14
-
-
38149146164
-
The generalized homoclinic bifurcation
-
Joyal P. The generalized homoclinic bifurcation. J. Differential Equations 107 1 (1994) 1-45
-
(1994)
J. Differential Equations
, vol.107
, Issue.1
, pp. 1-45
-
-
Joyal, P.1
-
15
-
-
38149146374
-
The generalized homoclinic bifurcation
-
Joyal P. The generalized homoclinic bifurcation. J. Differential Equations 108 2 (1994) 217-261
-
(1994)
J. Differential Equations
, vol.108
, Issue.2
, pp. 217-261
-
-
Joyal, P.1
-
17
-
-
0001834849
-
On the stability of the center for periodic perturbation of time
-
Melnikov B.K. On the stability of the center for periodic perturbation of time. Trans. Moscow Math. Soc. 12 (1963) 1-57
-
(1963)
Trans. Moscow Math. Soc.
, vol.12
, pp. 1-57
-
-
Melnikov, B.K.1
-
18
-
-
51249171477
-
On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
-
Roussarie R. On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields. Bol. Soc. Bras. Mat. 17 (1986) 67-101
-
(1986)
Bol. Soc. Bras. Mat.
, vol.17
, pp. 67-101
-
-
Roussarie, R.1
-
19
-
-
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. vol. 164 (1998), Birkhäuser-Verlag, Basel
-
(1998)
Progr. Math.
, vol.164
-
-
Roussarie, R.1
-
20
-
-
0347031469
-
PP-graphics with a nilpotent elliptic singularity and Hilbert's sixteenth theorem for quadratic systems
-
Rousseau C., and Zhu H. PP-graphics with a nilpotent elliptic singularity and Hilbert's sixteenth theorem for quadratic systems. J. Differential Equations 196 1 (2004) 169-208
-
(2004)
J. Differential Equations
, vol.196
, Issue.1
, pp. 169-208
-
-
Rousseau, C.1
Zhu, H.2
-
21
-
-
33846299893
-
-
C. Rousseau, H. Zhu, HH-graphics with a nilpotent singularity and Hilbert's sixteenth problem for quadratic systems, in preparation
-
-
-
-
22
-
-
0001120272
-
Bifurcations of limit cycles from cubic Hamiltonian systems with a center and a homoclinic saddle-loop
-
Zhao Y., and Zhang Z. Bifurcations of limit cycles from cubic Hamiltonian systems with a center and a homoclinic saddle-loop. Publ. Mat. 44 1 (2000) 205-235
-
(2000)
Publ. Mat.
, vol.44
, Issue.1
, pp. 205-235
-
-
Zhao, Y.1
Zhang, Z.2
-
23
-
-
0037137987
-
Finite cyclicity of graphics with a nilpotent singularity of saddle or elliptic type
-
Zhu H., and Rousseau C. Finite cyclicity of graphics with a nilpotent singularity of saddle or elliptic type. J. Differential Equations 178 2 (2002) 325-436
-
(2002)
J. Differential Equations
, vol.178
, Issue.2
, pp. 325-436
-
-
Zhu, H.1
Rousseau, C.2
|