On a modified version of a solvable ODE due to Painleve

被引：13

作者：

Calogero, F ^{[1
]}

机构：

[1] Univ Rome, Dipartimento Fis, I-00185 Rome, Italy

[2] Sez Roma, Ist Nazl Fis Nazl, Rome, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 04期

关键词：

D O I：

10.1088/0305-4470/35/4/310

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a modified version of an ODE originally introduced by Painleve, and we show that it possesses a lot of periodic solutions. We also use (a simplified version of) it to verify the efficacy of an iterative approach used elsewhere, in more general contexts, to evince analogous properties of periodicity of (systems of) nonlinear ODEs.

引用

页码：985 / 992

页数：8

共 10 条

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Erdelyi A., 1953, HIGHER TRANSCENDENTA, VII

[9]

Ince E., 1956, Ordinary Differential Equations

[10]

Painleve P., 1900, B SOC MATH FRANCE, V28, P201, DOI DOI 10.24033/BSMF.633

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