Searching for integrable systems. An application of Kozlov theorem

被引：2

作者：

Gozdziewski, K ^{[1
]}

Maciejewski, AJ ^{[1
]}

Niedzielska, Z ^{[1
]}

机构：

[1] Nicholas Copernicus Univ, Torun Ctr Astron, PL-87100 Torun, Poland

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2000年 / 46卷 / 1-2期

关键词：

D O I：

10.1016/S0034-4877(01)80021-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We apply a theorem of Kozlov to search for integrable cases in two families of Hamiltonian systems. We show that this approach allows us to find the known integrable case and selects a new case which is not completely integrable but, as we conjecture, can be partially integrable on a certain energy level.

引用

页码：175 / 182

页数：8

共 12 条

[1]

CHERMNYKH SW, 1987, VEST LEN U, V2

[2] NORMALIZATION AND THE DETECTION OF INTEGRABILITY - THE GENERALIZED VAN-DER-WAALS POTENTIAL [J].

FARRELLY, D ;

UZER, T .

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1995, 61 (01) :71-95

[3] Unrestricted planar problem of a symmetric body and a point mass. Triangular libration points and their stability [J].

Gozdziewski, K ;

Maciejewski, AJ .

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1999, 75 (04) :251-285

[4]

GOZDZIEWSKI K, 1997, THESIS N COPERNICUS

[5] SYSTEM FOR NORMALIZATION OF A HAMILTONIAN FUNCTION BASED ON LIE SERIES [J].

Gozdziewski, Krzysztof ;

Maciejewski, Andrzej J. .

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1990, 49 (01) :1-10

[6]

GREBENIKOV EA, 1986, METHOD AVERAGING APP

[7]

KOKORIEV AA, 1988, VEST MOSC U, V1

[8]

Kozlov V.V., 1996, SYMMETRIES TOPOLOGY

[9]

KOZLOV VV, 1976, VEST MOSCOW U, V1, P110

[10]

MACIEJEWSKI AJ, 1986, THESIS N COPERNICUS

← 1 2 →