On The Number of Characteristic Lines for Homogeneous Vector Fields

被引：0

作者：

Feng Rong

机构：

[1] Shanghai Jiao Tong University,Department of Mathematics

来源：

Journal of Dynamics and Differential Equations | 2012年 / 24卷

关键词：

Characteristic lines; Homogeneous vector fields; 34C99;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give the exact number of characteristic lines for homogeneous vector fields, when the number is finite. This in particular answers an open question posed by Llibre and Pilyugina (J Dynam Diff Equ 21:487–499, 2009).

引用

页码：823 / 825

页数：2

共 50 条

[21] Invariant hypersurfaces for positive characteristic vector fields
Pereira, JV
JOURNAL OF PURE AND APPLIED ALGEBRA, 2002, 171 (2-3) : 295 - 301
[22] Distributions of corank 1 and their characteristic vector fields
Jakubczyk, B
Zhitomirskii, M
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (07) : 2857 - 2883
[23] Characteristic integral curves of polynomial vector fields
Brunella, M
TOPOLOGY, 1998, 37 (06) : 1229 - 1246
[24] ALGEBRAIC HOMOGENEOUS SPACES OVER FIELDS OF CHARACTERISTIC 2
DIEUDONNE, J
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 2 (02) : 295 - 304
[25] THE SYMMETRY OF HOMOGENEOUS ISOTROPIC MEDIA IN TENSOR AND VECTOR FIELDS
ZOLUDEV, IS
ACTA CRYSTALLOGRAPHICA, 1957, 10 (12): : 848 - 848
[26] GLOBAL TOPOLOGICAL PROPERLIES OF HOMOGENEOUS VECTOR FIELDS IN R
ZHANG XINAN
CHEN LANSUN
LIANG ZHAOJUN(Institute of Mathematics
Chinese Annals of Mathematics, 1999, (02) : 185 - 194
[27] A note on the completeness of homogeneous quadratic vector fields on the plane
Bromberg S.
Medina A.
Qualitative Theory of Dynamical Systems, 2005, 6 (2) : 181 - 185
[28] Vector Triads of Homogeneous Spaces Matched with the Killing Fields
V. V. Obukhov
E. K. Osetrin
D. V. Kartashov
Russian Physics Journal, 2023, 66 : 458 - 461
[29] Phase Portraits of Random Planar Homogeneous Vector Fields
Anna Cima
Armengol Gasull
Víctor Mañosa
Qualitative Theory of Dynamical Systems, 2021, 20
[30] Homogeneous Carnot groups related to sets of vector fields
Bonfiglioli, A
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2004, 7B (01): : 79 - 107

← 1 2 3 4 5 →