-
1
-
-
0034326134
-
Bifurcation set and distribution of limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms
-
Cao, H., Liu, Z. & Jing, Z. [2000] "Bifurcation set and distribution of limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms," Chaos Solit. Fract. 11, 2293-2304.
-
(2000)
Chaos Solit. Fract
, vol.11
, pp. 2293-2304
-
-
Cao, H.1
Liu, Z.2
Jing, Z.3
-
2
-
-
0001287885
-
The relative position, and the number, of limit cycles of a quadratic differential system
-
Chen, L. S. & Wang, M. S. [1979] "The relative position, and the number, of limit cycles of a quadratic differential system," Acta. Math. Sin. 22, 751-758.
-
(1979)
Acta. Math. Sin
, vol.22
, pp. 751-758
-
-
Chen, L.S.1
Wang, M.S.2
-
3
-
-
0012777155
-
On the stability of a singular cycle
-
in Russian
-
Cherkas, L. A. [1968] "On the stability of a singular cycle," Diff. Uravnenija 4, 1012-1017 (in Russian).
-
(1968)
Diff. Uravnenija
, vol.4
, pp. 1012-1017
-
-
Cherkas, L.A.1
-
4
-
-
0002383108
-
Cyclicity of planar homoclinic loops and quadratic integrable systems
-
Han, M. [1997] "Cyclicity of planar homoclinic loops and quadratic integrable systems," Sci. China Ser A 40, 1247-1258.
-
(1997)
Sci. China Ser A
, vol.40
, pp. 1247-1258
-
-
Han, M.1
-
5
-
-
0001209273
-
Cyclicity of homoclinic loops and degenerate cubic Hamiltonians
-
Han, M., Ye, Y. & Zhu, D. [1999] "Cyclicity of homoclinic loops and degenerate cubic Hamiltonians," Sci. China Ser A 42, 605-617.
-
(1999)
Sci. China Ser A
, vol.42
, pp. 605-617
-
-
Han, M.1
Ye, Y.2
Zhu, D.3
-
6
-
-
0033165088
-
Cyclicity 1 and 2 conditions for a 2-polycycle of integrable systems on the plane
-
Han, M. & Zhang, Z. [1999] "Cyclicity 1 and 2 conditions for a 2-polycycle of integrable systems on the plane," J. Diff. Eqns. 155, 245-261.
-
(1999)
J. Diff. Eqns
, vol.155
, pp. 245-261
-
-
Han, M.1
Zhang, Z.2
-
7
-
-
0042689676
-
On the number of limit cycles in double homoclinic bifurcations
-
Han, M. & Chen, J. [2000] "On the number of limit cycles in double homoclinic bifurcations," Sci. China Ser A 43, 914-928.
-
(2000)
Sci. China Ser A
, vol.43
, pp. 914-928
-
-
Han, M.1
Chen, J.2
-
8
-
-
0037408724
-
On the stability of double homoclinic and heteroclinic cycles
-
Han, M., Hu, S. & Liu, X. [2003] "On the stability of double homoclinic and heteroclinic cycles," Nonlin. Anal. 53, 701-713.
-
(2003)
Nonlin. Anal
, vol.53
, pp. 701-713
-
-
Han, M.1
Hu, S.2
Liu, X.3
-
9
-
-
2942646689
-
A study on the existence of limit cycles of a planar system with 3rd-degree polynomials
-
Han, M., Lin, Y. & Yu, P. [2004] "A study on the existence of limit cycles of a planar system with 3rd-degree polynomials," Int. J. Bifurcation and Chaos 14, 41-60.
-
(2004)
Int. J. Bifurcation and Chaos
, vol.14
, pp. 41-60
-
-
Han, M.1
Lin, Y.2
Yu, P.3
-
10
-
-
9544244780
-
On the cyclicity of a 2polycycle for quadratic systems
-
Han, M. & Yang, C. [2005] "On the cyclicity of a 2polycycle for quadratic systems," Chaos Solit. Fract. 23, 1787-1794.
-
(2005)
Chaos Solit. Fract
, vol.23
, pp. 1787-1794
-
-
Han, M.1
Yang, C.2
-
11
-
-
0000832248
-
Mathematical problems
-
Transl
-
Hubert, D. [1902] "Mathematical problems," (M. Newton, Transl.) Bull. Amer. Math. 8, 437-179.
-
(1902)
Bull. Amer. Math
, vol.8
, pp. 437-179
-
-
Hubert, D.1
-
12
-
-
0001171535
-
Bifurcations of limit cycles forming compound eyes in the cubic system
-
Li, J. & Huang, Q. [1987] "Bifurcations of limit cycles forming compound eyes in the cubic system," Chinese Ann Math B 8, 391-103.
-
(1987)
Chinese Ann Math B
, vol.8
, pp. 391-103
-
-
Li, J.1
Huang, Q.2
-
13
-
-
0001211762
-
Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system
-
Li, J. & Liu, Z. [1991] "Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system," Publ. Math. 35, 487-506.
-
(1991)
Publ. Math
, vol.35
, pp. 487-506
-
-
Li, J.1
Liu, Z.2
-
14
-
-
52649094247
-
6-equivariant planar vector field of degree 5
-
6-equivariant planar vector field of degree 5," Sci. China Ser A 45, 817-826.
-
(2002)
Sci. China Ser A
, vol.45
, pp. 817-826
-
-
Li, J.1
Chan, H.2
Chung, K.3
-
15
-
-
0037246396
-
Hubert's 16th problem and bifurcations of planar polynomial vector fields
-
Li, J. [2003] "Hubert's 16th problem and bifurcations of planar polynomial vector fields," Int. J. Bifurcation and Chaos 13, 47-106.
-
(2003)
Int. J. Bifurcation and Chaos
, vol.13
, pp. 47-106
-
-
Li, J.1
-
16
-
-
0036462770
-
Detection function method and its application to a perturbed quintic Hamiltonian system
-
Liu, Z., Qian, T. & Li, J. [2002] "Detection function method and its application to a perturbed quintic Hamiltonian system," Chaos Solit. Fract. 13, 295-310.
-
(2002)
Chaos Solit. Fract
, vol.13
, pp. 295-310
-
-
Liu, Z.1
Qian, T.2
Li, J.3
-
17
-
-
0037246457
-
The same distribution of limit cycles in five perturbed cubic Hamiltonian systems
-
Liu, Z., Yang, Z. & Jiang, T. [2003] "The same distribution of limit cycles in five perturbed cubic Hamiltonian systems," Int. J. Bifurcation and Chaos 13, 243-249.
-
(2003)
Int. J. Bifurcation and Chaos
, vol.13
, pp. 243-249
-
-
Liu, Z.1
Yang, Z.2
Jiang, T.3
-
18
-
-
51249171477
-
On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
-
Roussarié, R. [1986] "On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields," Bol. Soc. Bras. Mat. 17, 67-101.
-
(1986)
Bol. Soc. Bras. Mat
, vol.17
, pp. 67-101
-
-
Roussarié, R.1
-
19
-
-
0001012446
-
A concrete example of the existence of four limit cycles for plane quadratic systems
-
Shi, S. [1980] "A concrete example of the existence of four limit cycles for plane quadratic systems," Sci. Sinica 23, 153-158.
-
(1980)
Sci. Sinica
, vol.23
, pp. 153-158
-
-
Shi, S.1
-
20
-
-
0002587254
-
Mathematical problems for the next century
-
Smale, S. [1998] "Mathematical problems for the next century," The Math. Intell. 20, 7-15.
-
(1998)
The Math. Intell
, vol.20
, pp. 7-15
-
-
Smale, S.1
-
21
-
-
20444467931
-
Twelve limit cycles in a cubic order planar system with Zsymmetry
-
Yu, P. & Han, M. [2004] "Twelve limit cycles in a cubic order planar system with Zsymmetry," Commun. Pure Appl. Anal. 3, 515-525.
-
(2004)
Commun. Pure Appl. Anal
, vol.3
, pp. 515-525
-
-
Yu, P.1
Han, M.2
-
22
-
-
24144462859
-
Twelve limit cycles in a cubic case of the 16th Hubert problem
-
Yu, P. & Han, M. [2005a] "Twelve limit cycles in a cubic case of the 16th Hubert problem," Int. J. Bifurcation and Chaos 15, 2191-2205.
-
(2005)
Int. J. Bifurcation and Chaos
, vol.15
, pp. 2191-2205
-
-
Yu, P.1
Han, M.2
-
23
-
-
9644262430
-
z-equivariant vector fields
-
z-equivariant vector fields," Chaos Solit. Fract. 24, 329-348.
-
(2005)
Chaos Solit. Fract
, vol.24
, pp. 329-348
-
-
Yu, P.1
Han, M.2
-
24
-
-
0242365778
-
Bifurcations of limit cycles in a cubic system
-
Zhang, T., Zang, H. & Han, M. [2004a] "Bifurcations of limit cycles in a cubic system," Chaos Solit. Fract. 20, 629-638.
-
(2004)
Chaos Solit. Fract
, vol.20
, pp. 629-638
-
-
Zhang, T.1
Zang, H.2
Han, M.3
-
25
-
-
2942666280
-
Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations
-
Zhang, T., Han, M., Zang, H. & Meng, X. [2004b] "Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations," Chaos Solit. Fract. 22, 1127-1138.
-
(2004)
Chaos Solit. Fract
, vol.22
, pp. 1127-1138
-
-
Zhang, T.1
Han, M.2
Zang, H.3
Meng, X.4
-
26
-
-
1842528979
-
Perturbation from a cubic Hamiltonian with three figure eightloops
-
Zang, H., Chen, W. & Zhang, T. [2004] "Perturbation from a cubic Hamiltonian with three figure eightloops," Chaos Solit. Fract. 22, 61-74.
-
(2004)
Chaos Solit. Fract
, vol.22
, pp. 61-74
-
-
Zang, H.1
Chen, W.2
Zhang, T.3
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