-
1
-
-
0000612481
-
Unfolding of a quadratic integrable system with two centers and two unbounded heteroclinic loops
-
Dumortier F., Li C., Zhang Z. Unfolding of a quadratic integrable system with two centers and two unbounded heteroclinic loops. J. Differential Equations. 139:1997;146-193.
-
(1997)
J. Differential Equations
, vol.139
, pp. 146-193
-
-
Dumortier, F.1
Li, C.2
Zhang, Z.3
-
2
-
-
84974232147
-
Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimention 3
-
Dumortier F., Roussarie R., Sotomayor J. Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimention 3. Ergodic Theory Dynamical Systems. 7:1987;375-413.
-
(1987)
Ergodic Theory Dynamical Systems
, vol.7
, pp. 375-413
-
-
Dumortier, F.1
Roussarie, R.2
Sotomayor, J.3
-
4
-
-
0030546995
-
Successive derivative of first return map, application to the study of quadratic vector fields
-
Françoise J.P. Successive derivative of first return map, application to the study of quadratic vector fields. Ergodic Theory Dynamical Systems. 16:(1):1996;87-96.
-
(1996)
Ergodic Theory Dynamical Systems
, vol.16
, Issue.1
, pp. 87-96
-
-
Françoise, J.P.1
-
6
-
-
0001763980
-
Limit cycles of perturbations of quadratic Hamiltonian vector fields
-
Gavrilov L., Horozov E. Limit cycles of perturbations of quadratic Hamiltonian vector fields. J. Math. Pures Appl. 72:1993;213-238.
-
(1993)
J. Math. Pures Appl.
, vol.72
, pp. 213-238
-
-
Gavrilov, L.1
Horozov, E.2
-
7
-
-
0034357798
-
Second order analysis in polynomially perturbed reversible quadratic Hamiltonian systems
-
to appear
-
Gavrilov L., Iliev I.D., Second order analysis in polynomially perturbed reversible quadratic Hamiltonian systems, Ergodic Theory Dynamical Systems, to appear.
-
Ergodic Theory Dynamical Systems
-
-
Gavrilov, L.1
Iliev, I.D.2
-
8
-
-
84963044168
-
On the number of limit cycles in perturbations of quadratic Hamiltonian systems
-
Horozov E., Iliev I.D. On the number of limit cycles in perturbations of quadratic Hamiltonian systems. Proc. London Math. Soc. 69:(3):1994;198-224.
-
(1994)
Proc. London Math. Soc.
, vol.69
, Issue.3
, pp. 198-224
-
-
Horozov, E.1
Iliev, I.D.2
-
10
-
-
0001722685
-
Higher order Melnikov functions for degenerate cubic Hamiltonians
-
Iliev I.D. Higher order Melnikov functions for degenerate cubic Hamiltonians. Adv. Differential Equations. 1:(4):1996;689-708.
-
(1996)
Adv. Differential Equations
, vol.1
, Issue.4
, pp. 689-708
-
-
Iliev, I.D.1
-
11
-
-
0030578195
-
The cyclicity of the period annulus of the quadratic Hamiltonian triangle
-
Iliev I.D. The cyclicity of the period annulus of the quadratic Hamiltonian triangle. J. Differential Equations. 128:1996;309-326.
-
(1996)
J. Differential Equations
, vol.128
, pp. 309-326
-
-
Iliev, I.D.1
-
12
-
-
0032020006
-
Perturbations of quadratic centers
-
Iliev I.D. Perturbations of quadratic centers. Bull. Sci. Math. 122:1998;107-161.
-
(1998)
Bull. Sci. Math.
, vol.122
, pp. 107-161
-
-
Iliev, I.D.1
-
14
-
-
0001274650
-
Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line
-
Li C., Llibre J., Zhang Z. Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line. Publ. Matem. 39:1995;355-366.
-
(1995)
Publ. Matem.
, vol.39
, pp. 355-366
-
-
Li, C.1
Llibre, J.2
Zhang, Z.3
-
15
-
-
0001530918
-
A note on a result of G.S. Petrov about the weakened 16th Hilbert problem
-
Li B., Zhang Z. A note on a result of G.S. Petrov about the weakened 16th Hilbert problem. J. Math. Anal. Appl. 190:1995;489-516.
-
(1995)
J. Math. Anal. Appl.
, vol.190
, pp. 489-516
-
-
Li, B.1
Zhang, Z.2
-
16
-
-
0000669485
-
The number of limit cycles of polynomial deformation of a Hamil-tonian vector fields
-
Mardesic P. The number of limit cycles of polynomial deformation of a Hamil-tonian vector fields. Ergodic Theory Dynamical Systems. 10:(1):1990;523-529.
-
(1990)
Ergodic Theory Dynamical Systems
, vol.10
, Issue.1
, pp. 523-529
-
-
Mardesic, P.1
-
17
-
-
0038025022
-
The Chebyschev property of elliptic integrals
-
Petrov G.S. The Chebyschev property of elliptic integrals. Funct. Anal. Appl. 22:1988;72-73.
-
(1988)
Funct. Anal. Appl.
, vol.22
, pp. 72-73
-
-
Petrov, G.S.1
-
18
-
-
0003334252
-
Theory of Limit Cycles
-
Amer. Math. Soc.
-
Ye Y. Theory of Limit Cycles. Tranl. of Math. Monographs. 66:1984;Amer. Math. Soc.
-
(1984)
Tranl. of Math. Monographs
, vol.66
-
-
Ye, Y.1
-
19
-
-
0000813963
-
Quadratic systems with centers and their perturbations
-
Zoladek H. Quadratic systems with centers and their perturbations. J. Differential Equations. 109:1994;223-273.
-
(1994)
J. Differential Equations
, vol.109
, pp. 223-273
-
-
Zoladek, H.1
-
20
-
-
0000273658
-
The cyclicity of triangles and segments in quadratic systems
-
Zoladek H. The cyclicity of triangles and segments in quadratic systems. J. Differential Equations. 122:1995;137-159.
-
(1995)
J. Differential Equations
, vol.122
, pp. 137-159
-
-
Zoladek, H.1
-
21
-
-
0000881510
-
Higher order Melnikov functions and the problem of uniformity in global bifurcations
-
Zhang Z., Li B. Higher order Melnikov functions and the problem of uniformity in global bifurcations. Annali di Matematica Pura de Applicate (IV). CLXI:1992;181-212.
-
(1992)
Annali di Matematica Pura de Applicate (IV)
, vol.161
, pp. 181-212
-
-
Zhang, Z.1
Li, B.2
-
22
-
-
0034688727
-
The cyclicity of period annulus of the quadratic Hamiltonian systems with non-Morsean point
-
Zhao Y., Liang Z., Lu G. The cyclicity of period annulus of the quadratic Hamiltonian systems with non-Morsean point. J. Differential Equations. 162:2000;199-223.
-
(2000)
J. Differential Equations
, vol.162
, pp. 199-223
-
-
Zhao, Y.1
Liang, Z.2
Lu, G.3
-
24
-
-
0033542307
-
Linear estimate of the number of zeros of Abelian integrals for a kind of quartic Hamiltonians
-
Zhao Y., Zhang Z. Linear estimate of the number of zeros of Abelian integrals for a kind of quartic Hamiltonians. J. Differential Equations. 155:1999;73-88.
-
(1999)
J. Differential Equations
, vol.155
, pp. 73-88
-
-
Zhao, Y.1
Zhang, Z.2
-
25
-
-
0001120272
-
Bifurcations of limit cycles from cubic Hamiltonian system with a center and a homoclinic saddle-loop
-
Zhao Y., Zhang Z. Bifurcations of limit cycles from cubic Hamiltonian system with a center and a homoclinic saddle-loop. Publicacions Matematiques. 44:2000;205-235.
-
(2000)
Publicacions Matematiques
, vol.44
, pp. 205-235
-
-
Zhao, Y.1
Zhang, Z.2
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