Bounded polynomial vector fields in R2 and Rn

被引：4

作者：

Barreira, Luis ^{[1
]}

Llibre, Jaume ^{[2
]}

Valls, Claudia ^{[1
]}

机构：

[1] Univ Lisbon, Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 08期

基金：

欧盟地平线“2020”;

关键词：

Bounded polynomial vector fields; Topological index; Poincare compactification; LIMIT-CYCLES; BIFURCATIONS;

D O I：

10.1016/j.jde.2019.10.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the bounded polynomial vector fields in R-2. Additionally we provide a necessary condition but not sufficient which must be satisfied by bounded polynomial vector fields in R-n. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：4416 / 4422

页数：7

共 50 条

[41] GLOBAL PROPERTIES OF CONTINUOUS PIECEWISE LINEAR VECTOR-FIELDS .2. SIMPLEST SYMMETRICAL CASE IN R2
LUM, R
CHUA, LO
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1992, 20 (01) : 9 - 46
[42] A bounded linear extension operator for L2,p(R2)
Israel, Arie
ANNALS OF MATHEMATICS, 2013, 178 (01) : 183 - 230
[43] Dynamics and Darboux Integrability of the D2 Polynomial Vector Fields of Degree 2 in R3
Ginoux, Jean-Marc
Llibre, Jaume
Valls, Claudia
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 24 (01)
[44] Positive solutions for a singular nonlinear problem on a bounded domain in R2
Zeddini, N
POTENTIAL ANALYSIS, 2003, 18 (02) : 97 - 118
[45] ON THE CONVERGENCE OF DOUBLE FOURIER INTEGRALS OF FUNCTIONS OF BOUNDED VARIATION ON R2
Ghodadra, Bhikha Lila
Fulop, Vanda
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2016, 53 (03) : 289 - 313
[46] Positive Solutions for a Singular Nonlinear Problem on a Bounded Domain in R2
Noureddine Zeddini
Potential Analysis, 2003, 18 : 97 - 118
[47] ON THE CLASSIFICATION OF HOMOGENEOUS MULTIPLIERS BOUNDED ON H-1(R2)
DALY, JE
PHILLIPS, K
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 106 (03) : 685 - 696
[48] On the Relation between Piecewise Polynomial and Rational Approximation in Lp(R2)
S. Dekel
D. Leviatan
Constructive Approximation , 2003, 20 : 73 - 91
[49] Construction of Compactly Supported Refinable Componentwise Polynomial Functions in R2
Xue, Yanmei
Bi, Ning
ABSTRACT AND APPLIED ANALYSIS, 2011,
[50] Global asymptotic stability for a class of discontinuous vector fields in R2 (vol 22, pg 4317, 2007)
Libre, Juame
Teixeria, Marco Antonio
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2007, 22 (04):

← 1 2 3 4 5 →