HAMILTONIANS WITH HIGH-ORDER INTEGRALS AND THE WEAK-PAINLEVE CONCEPT

被引：46

作者：

GRAMMATICOS, B ^{[1
]}

DORIZZI, B ^{[1
]}

RAMANI, A ^{[1
]}

机构：

[1] ECOLE POLYTECH,CTR PHYS THEOR,F-91128 PALAISEAU,FRANCE

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1984年 / 25卷 / 12期

关键词：

D O I：

10.1063/1.526103

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：3470 / 3473

页数：4

共 12 条

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[2] A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .2. [J].

ABLOWITZ, MJ ;

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

ABLOWITZ, MJ ;

RAMANI, A ;

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[4] EXPLICIT INTEGRABILITY FOR HAMILTONIAN-SYSTEMS AND THE PAINLEVE CONJECTURE [J].

DORIZZI, B ;

GRAMMATICOS, B ;

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

DORIZZI, B ;

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[6] QUADRATIC AND CUBIC INVARIANTS IN CLASSICAL MECHANICS [J].

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LAGERSTROM, PA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 74 (02) :325-341

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

GRAMMATICOS, B ;

DORIZZI, B ;

RAMANI, A .

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

[8] PAINLEVE PROPERTY AND INTEGRALS OF MOTION FOR THE HENON-HEILES SYSTEM [J].

GRAMMATICOS, B ;

DORIZZI, B ;

PADJEN, R .

PHYSICS LETTERS A, 1982, 89 (03) :111-113

[9] A THEORY OF EXACT AND APPROXIMATE CONFIGURATIONAL INVARIANTS [J].

HALL, LS .

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[10] CONSTRUCTION OF NEW INTEGRABLE HAMILTONIANS IN 2 DEGREES OF FREEDOM [J].

HOLT, CR .

JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (06) :1037-1046

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