Algebraical limit cycles of polynomial vector fields on the plane

被引：0

作者：

Dolov, MV ^{[1
]}

机构：

[1] Nizhni Novgorod State Univ, Nizhnii Novgorod, Russia

来源：

DIFFERENTIAL EQUATIONS | 2001年 / 37卷 / 09期

关键词：

Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Equation; Polynomial Vector;

D O I：

10.1023/A:1012582809822

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：1211 / 1216

页数：6

共 50 条

[41] ON A CLASS OF COMPLETE POLYNOMIAL VECTOR-FIELDS IN THE PLANE
CHICONE, C
SOTOMAYOR, J
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1986, 61 (03) : 398 - 418
[42] ON THE CLASSIFICATION OF GENERIC QUADRATIC VECTOR FIELDS WITH NO LIMIT CYCLES
Shi Songling
[J]. 中国科学院大学学报, 1986, (01) : 5 - 9
[43] ON THE CLASSIFICATION OF GENERIC QUADRATIC VECTOR FIELDS WITH NO LIMIT CYCLES
Shi Songling
[J]. 中国科学院研究生院学报., 1986, (01) - 9
[44] Vector fields with homogeneous nonlinearities and many limit cycles
Gasull, Armengol
Yu, Jiang
Zhang, Xiang
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 258 (09) : 3286 - 3303
[45] Uniqueness of limit cycles for a class of planar vector fields
Carletti T.
[J]. Qualitative Theory of Dynamical Systems, 2005, 6 (1) : 31 - 43
[46] Global behavior of limit cycles in rotated vector fields
Han, M
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 151 (01) : 20 - 35
[47] When Parallels and Meridians are Limit Cycles for Polynomial Vector Fields on Quadrics of Revolution in the Euclidean 3-Space
Dias, Fabio Scalco
Llibre, Jaume
Mello, Luis Fernando
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, 26 (09):
[48] Transcendental limit cycles via the structure of arbitrary degree invariant algebraic curves of polynomial planar vector fields
García, IA
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2005, 35 (02) : 501 - 515
[49] Bifurcation of limit cycles and integrability conditions for 6-parameter families of polynomial vector fields of arbitrary degree
Valls, Claudia
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (01) : 256 - 275
[50] THE NUMBER OF LIMIT-CYCLES OF POLYNOMIAL DEFORMATIONS OF A HAMILTONIAN VECTOR FIELD
MARDESIC, P
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1990, 10 : 523 - 529

← 1 2 3 4 5 →