EXPLICIT INTEGRABILITY FOR HAMILTONIAN-SYSTEMS AND THE PAINLEVE CONJECTURE

被引：25

作者：

DORIZZI, B ^{[1
]}

GRAMMATICOS, B ^{[1
]}

RAMANI, A ^{[1
]}

机构：

[1] ECOLE POLYTECH,F-91128 PALAISEAU,FRANCE

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1984年 / 25卷 / 03期

关键词：

D O I：

10.1063/1.526185

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：481 / 485

页数：5

共 13 条

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[3] A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .1. [J].

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SEGUR, H .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (04) :715-721

[4] ANALYTIC STRUCTURE OF THE HENON-HEILES HAMILTONIAN IN INTEGRABLE AND NON-INTEGRABLE REGIMES [J].

CHANG, YF ;

TABOR, M ;

WEISS, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (04) :531-538

[5]

Darboux G., 1901, ARCH NEERLANDAISES, V6, P371

[6] A NEW CLASS OF INTEGRABLE SYSTEMS [J].

DORIZZI, B ;

GRAMMATICOS, B ;

RAMANI, A .

JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (09) :2282-2288

[7] GROUP THEORETICAL ASPECTS OF CONSTANTS OF MOTION AND SEPARABLE SOLUTIONS IN CLASSICAL MECHANICS [J].

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[8] INTEGRABILITY OF HAMILTONIANS WITH 3RD-DEGREE AND 4TH-DEGREE POLYNOMIAL POTENTIALS [J].

GRAMMATICOS, B ;

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JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (09) :2289-2295

[9]

GREENE JS, CITED INDIRECTLY

[10] PAINLEVE CONJECTURE REVISITED [J].

RAMANI, A ;

DORIZZI, B ;

GRAMMATICOS, B .

PHYSICAL REVIEW LETTERS, 1982, 49 (21) :1539-1541

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