Isochronicity for a class of reversible systems

被引：5

作者：

Wu, Kuilin ^{[1
]}

Zhao, Yulin ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 365卷 / 01期

关键词：

Period functions; Isochronous centers; Reversible systems; POLYNOMIAL HAMILTONIAN-SYSTEMS; CRITICAL PERIODS; VECTOR-FIELDS; CENTERS;

D O I：

10.1016/j.jmaa.2009.10.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the relation between isochronicity and first integral for a class of reversible systems: (x) over dot = -U(x)y, (y) over dot = f(x, y). which associates to the first integral of the form H(x, y) = F(x)y(2) + G(x). Two necessary and sufficient conditions are given to characterize isochronicity for these systems. Moreover. we apply these results to show that there exists a class of polynomial reversible systems of degree n with isochronous center for any n. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：300 / 307

页数：8

共 50 条

[1] Pseudo-isochronicity in a class of septic differential systems
Wu, Yusen
Li, Peiluan
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (10) : 2069 - 2080
[2] Classification of the centers and isochronicity for a class of quartic polynomial differential systems
Li Feng
Liu Yirong
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (06) : 2270 - 2291
[3] The Problem of Bicenter and Isochronicity for a Class of Quasi Symmetric Planar Systems
Du Chaoxiong
ABSTRACT AND APPLIED ANALYSIS, 2014,
[4] Classification of the centers and their isochronicity for a class of polynomial differential systems of arbitrary degree
Llibre, Jaume
Valls, Claudia
ADVANCES IN MATHEMATICS, 2011, 227 (01) : 472 - 493
[5] Isochronicity of a class of piecewise continuous oscillators
Mañosas, F
Torres, PJ
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (10) : 3027 - 3035
[6] Recursion Formulas in Determining Isochronicity of a Cubic Reversible System
Liao, Zhiwu
Hu, Shaoxiang
Hou, Xianling
COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2011, PT IV, 2011, 6785 : 619 - 632
[7] ON A CLASS OF REVERSIBLE ELLIPTIC SYSTEMS
Rabinowitz, Paul H.
NETWORKS AND HETEROGENEOUS MEDIA, 2012, 7 (04) : 927 - 939
[8] Isochronicity at Infinity into a Class of Rational Differential System
Wu, Yusen
Huang, Wentao
Dai, Hongshuai
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2011, 10 (01) : 123 - 138
[9] On a Class of Reversible Elliptic Systems
Rabinowitz, Paul H.
ADVANCED NONLINEAR STUDIES, 2012, 12 (04) : 851 - 875
[10] Isochronicity at Infinity into a Class of Rational Differential System
Yusen Wu
Wentao Huang
Hongshuai Dai
Qualitative Theory of Dynamical Systems, 2011, 10 : 123 - 138

← 1 2 3 4 5 →