On orbital-reversibility for a class of planar dynamical systems

被引：13
作者：
Algaba, A. [1 ]
Checa, I. [1 ]
Garcia, C. [1 ]
Gamero, E. [2 ]
机构：
[1] Univ Huelva, Dept Math, EPS, Huelva, Spain
[2] Univ Seville, Dept Appl Math 2, ESTI, Seville, Spain
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 20卷 / 01期
关键词：
Orbital-reversibility; Planar autonomous systems; Invariant curves; TIME-REVERSAL SYMMETRY; ANALYTIC INTEGRABILITY; NILPOTENT CENTERS; NORMAL FORMS; EQUIVALENCE;
D O I：
10.1016/j.cnsns.2014.05.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give necessary conditions for the orbital-reversibility for a class of planar dynamical systems, based on properties of some invariant curves. From these necessary conditions we formulate a suitable algorithm, to detect orbital-reversibility, which is applied to a family of nilpotent systems and to a family of degenerate systems. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：229 / 239
页数：11
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