NONINTEGRABLE SYSTEMS WITH ALGEBRAIC SINGULARITIES IN COMPLEX TIME

被引：10

作者：

BOUNTIS, T ^{[1
]}

DROSSOS, L ^{[1
]}

PERCIVAL, IC ^{[1
]}

机构：

[1] UNIV LONDON,QUEEN MARY & WESTFIELD COLL,SCH MATH SCI,LONDON E1 4NS,ENGLAND

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 14期

关键词：

HAMILTONIAN-SYSTEMS; KOWALEVSKI EXPONENTS; DYNAMICAL-SYSTEMS; 1ST INTEGRALS; NON-EXISTENCE; CRITERION;

D O I：

10.1088/0305-4470/24/14/011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Dynamical arguments are presented which suggest that there are non-integrable systems without clustering of singularities, without infinite singularities, or singularities with an infinite number of branches in the complex t-plane. Several examples with only algebraic singularities are studied, for which strong numerical evidence is presented for non-integrability and infinitely sheeted solutions. 'Weak-Painleve' potentials are also analysed from this point of view, and all integrable cases are found to possess only finitely sheeted solutions.

引用

页码：3217 / 3236

页数：20

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