HAMILTONIAN-SYSTEMS WITH 3 DEGREES OF FREEDOM, SINGULAR-POINT ANALYSIS, AND CHAOTIC BEHAVIOR

被引：9

作者：

STEEB, WH ^{[1
]}

LOUW, JA ^{[1
]}

LEACH, PGL ^{[1
]}

MAHOMED, FM ^{[1
]}

机构：

[1] UNIV WITWATERSRAND,DEPT APPL MATH,JOHANNESBURG 2001,SOUTH AFRICA

来源：

PHYSICAL REVIEW A | 1986年 / 33卷 / 03期

关键词：

D O I：

10.1103/PhysRevA.33.2131

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

引用

页码：2131 / 2133

页数：3

共 20 条

[1]

ABLOWITZ MJ, 1983, J MATH PHYS, V21, P4

[2] THE ALGEBRAIC INTEGRABILITY OF GEODESIC-FLOW ON SO(4) [J].

ADLER, M ;

VANMOERBEKE, P .

INVENTIONES MATHEMATICAE, 1982, 67 (02) :297-331

[3] REGULAR AND CHAOTIC MOTION IN SOME QUARTIC POTENTIALS [J].

CARNEGIE, A ;

PERCIVAL, IC .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (04) :801-813

[4] NUMBER OF ISOLATING INTEGRALS IN HAMILTONIAN SYSTEMS [J].

CONTOPOULOS, G ;

GALGANI, L ;

GIORGILLI, A .

PHYSICAL REVIEW A, 1978, 18 (03) :1183-1189

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

DORIZZI, B ;

GRAMMATICOS, B ;

RAMANI, A .

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

[6]

Grobner W., 1967, CONTRIBUTIONS METHOD

[7]

HILLE E, 1976, ORDINARY DIFFERENTIA

[8] COUPLED QUARTIC ANHARMONIC-OSCILLATORS, PAINLEVE ANALYSIS, AND INTEGRABILITY [J].

LAKSHMANAN, M ;

SAHADEVAN, R .

PHYSICAL REVIEW A, 1985, 31 (02) :861-876

[9]

LEACH PGL, 1981, J MATH PHYS, V22, P679, DOI 10.1063/1.524976

[10]

Matinyan S.G., 1981, SOV PHYS JETP, V53, P421

← 1 2 →