-
1
-
-
0035997405
-
Centennial history of Hilbert's 16th problem
-
Y. Ilyashenko Centennial history of Hilbert's 16th problem Am Math Soc 39 2002 301 354
-
(2002)
Am Math Soc
, vol.39
, pp. 301-354
-
-
Ilyashenko, Y.1
-
2
-
-
0002587254
-
Mathematical problems for the next century
-
S. Smale Mathematical problems for the next century Math Intell 20 1998 7 15
-
(1998)
Math Intell
, vol.20
, pp. 7-15
-
-
Smale, S.1
-
3
-
-
0002945544
-
Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields
-
V.I. Arnold Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields Funct Anal Appl 11 1977 85 92
-
(1977)
Funct Anal Appl
, vol.11
, pp. 85-92
-
-
Arnold, V.I.1
-
4
-
-
0042489249
-
Degenerate homoclinic cycles in perturbations of quadratic Hamiltonian systems
-
J. Guckenhelmer, R. Rand, and D. Schlomiuk Degenerate homoclinic cycles in perturbations of quadratic Hamiltonian systems Nonlinearity 2 1989 405 418
-
(1989)
Nonlinearity
, vol.2
, pp. 405-418
-
-
Guckenhelmer, J.1
Rand, R.2
Schlomiuk, D.3
-
6
-
-
24144462859
-
Twelve limit cycles in a cubic case of the 16th Hilbert problem
-
in press
-
Yu P, Han M. Twelve limit cycles in a cubic case of the 16th Hilbert problem. Int J Bifurcation & Chaos 15(7), in press.
-
Int J Bifurcation & Chaos
, vol.15
, Issue.7
-
-
Yu, P.1
Han, M.2
-
8
-
-
0001834849
-
On the stability of the center for time periodic perturbations
-
V.K. Melnikov On the stability of the center for time periodic perturbations Trans Moscow Math Soc 12 1963 1 57
-
(1963)
Trans Moscow Math Soc
, vol.12
, pp. 1-57
-
-
Melnikov, V.K.1
-
9
-
-
0003442688
-
Qualitative theory of polynomial differential systems
-
Scientific and Technical Publishers Shanghai
-
Y. Ye Qualitative theory of polynomial differential systems Modern Mathematics Series 1995 Scientific and Technical Publishers Shanghai (in Chinese)
-
(1995)
Modern Mathematics Series
-
-
Ye, Y.1
-
10
-
-
0003268664
-
Qualitative theory of differential equations
-
American Mathematical Society Providence
-
Z. Zhang, T. Ding, W. Huang, and Z. Dong Qualitative theory of differential equations Trans Math Monographs vol. 101 1992 American Mathematical Society Providence
-
(1992)
Trans Math Monographs
, vol.101
-
-
Zhang, Z.1
Ding, T.2
Huang, W.3
Dong, Z.4
-
11
-
-
2942666280
-
Bifurcation of limit cycles for a cubic Hamiltonian system under quartic perturbations
-
T. Zhang, M. Han, H. Zang, and X. Meng Bifurcation of limit cycles for a cubic Hamiltonian system under quartic perturbations Chaos, Solitons & Fractals 22 2004 1127 1138
-
(2004)
Chaos, Solitons & Fractals
, vol.22
, pp. 1127-1138
-
-
Zhang, T.1
Han, M.2
Zang, H.3
Meng, X.4
-
13
-
-
20444464286
-
8-equivariant planar vector field of degree 7
-
8-equivariant planar vector field of degree 7 J Differen Equations Dyn Syst 16 2004 1123 1139
-
(2004)
J Differen Equations Dyn Syst
, vol.16
, pp. 1123-1139
-
-
Li, J.1
Zhang, M.2
-
15
-
-
20444451101
-
Existence of 121 limit cycles in a perturbed planar polynomial Hamiltonian vector field of degree 11
-
submitted for publication
-
Wang S, Yu P. Existence of 121 limit cycles in a perturbed planar polynomial Hamiltonian vector field of degree 11. Nonlinearity (submitted for publication).
-
Nonlinearity
-
-
Wang, S.1
Yu, P.2
-
16
-
-
0041630608
-
On the global analysis of the planar quadratic vector fields
-
D. Schlomiuk On the global analysis of the planar quadratic vector fields Nonlinear Anal, Theory, Methods & Appl 30 1997 1429 1437
-
(1997)
Nonlinear Anal, Theory, Methods & Appl
, vol.30
, pp. 1429-1437
-
-
Schlomiuk, D.1
-
17
-
-
1842854659
-
The geometry of quadratic differential systems with a weak focus of third order
-
J. Llibre, and D. Schlomiuk The geometry of quadratic differential systems with a weak focus of third order Can J Math 56 2 2004 310 343
-
(2004)
Can J Math
, vol.56
, Issue.2
, pp. 310-343
-
-
Llibre, J.1
Schlomiuk, D.2
-
19
-
-
0001790023
-
Computation of normal forms via a perturbation technique
-
P. Yu Computation of normal forms via a perturbation technique J Sound Vib 211 1998 19 38
-
(1998)
J Sound Vib
, vol.211
, pp. 19-38
-
-
Yu, P.1
-
20
-
-
0037246396
-
Hilbert's 16th problem and bifurcations of planar polynomial vector fields
-
J. Li Hilbert's 16th problem and bifurcations of planar polynomial vector fields Int J Bifurcation & Chaos 13 2003 47 106
-
(2003)
Int J Bifurcation & Chaos
, vol.13
, pp. 47-106
-
-
Li, J.1
-
21
-
-
0036686417
-
The number of limit cycles for a class of quintic Hamiltonian systems under Quintic perturbations
-
G. Chen, Y. Wu, and X. Yang The number of limit cycles for a class of quintic Hamiltonian systems under Quintic perturbations J Austral Math Soc 73 2002 37 53
-
(2002)
J Austral Math Soc
, vol.73
, pp. 37-53
-
-
Chen, G.1
Wu, Y.2
Yang, X.3
-
22
-
-
17044415311
-
2-equivariant perturbed planar hamiltonian polynomial vector field
-
2-equivariant perturbed planar hamiltonian polynomial vector field Int J Bifurcation & Chaos 15 2005
-
(2005)
Int J Bifurcation & Chaos
, vol.15
-
-
Li, J.1
Zhou, H.2
|