BIFURCATIONS OF INVARIANT-MANIFOLDS IN THE GENERALIZED HENON-HEILES SYSTEM

被引：27

作者：

GAVRILOV, L

机构：

来源：

PHYSICA D | 1989年 / 34卷 / 1-2期

关键词：

D O I：

10.1016/0167-2789(89)90236-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：223 / 239

页数：17

共 20 条

[1] THE KOWALEWSKI AND HENON-HEILES MOTIONS AS MANAKOV GEODESIC-FLOWS ON SO(4) - A TWO-DIMENSIONAL FAMILY OF LAX PAIRS [J].

ADLER, M ;

VANMOERBEKE, P .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 113 (04) :659-700

[2]

ADLER M, 1988, PERSPECTIVES MATH

[3]

AIZAWA Y, 1972, J PHYS SOC JPN, V32, P1636, DOI 10.1143/JPSJ.32.1636

[4]

ARNOLD V. I., 1983, CATASTROPHE THEORY

[5] INTEGRABLE HAMILTONIAN-SYSTEMS AND THE PAINLEVE PROPERTY [J].

BOUNTIS, T ;

SEGUR, H ;

VIVALDI, F .

PHYSICAL REVIEW A, 1982, 25 (03) :1257-1264

[6] 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

[7] THETA FUNCTIONS AND NON-LINEAR EQUATIONS [J].

DUBROVIN, BA .

RUSSIAN MATHEMATICAL SURVEYS, 1981, 36 (02) :11-92

[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]

Griffiths P, 1978, PRINCIPLES ALGEBRAIC

[10]

Kharlamov M. P., 1983, SOV MATH DOKL, V273, p[1322, 802]

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