A SMOOTH TRAJECTORY CLASSIFICATION OF INTEGRABLE HAMILTONIAN-SYSTEMS WITH 2 DEGREES OF FREEDOM

被引：4

作者：

BOLSINOV, AV

机构：

来源：

SBORNIK MATHEMATICS | 1995年 / 186卷 / 1-2期

关键词：

D O I：

10.1070/SM1995v186n01ABEH000001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we construct an invariant of integrable Hamiltonian systems with two degrees of freedom (the so-called st-molecule) enabling such systems to be classified on three-dimensional constant-energy surfaces up to orientation-preserving diffeomorphisms taking trajectories into trajectories.

引用

页码：1 / 27

页数：27

共 50 条

[1] SMOOTH TRAJECTORY CLASSIFICATION OF INTEGRABLE HAMILTONIAN-SYSTEMS WITH 2 DEGREES OF FREEDOM - THE CASE OF SYSTEMS WITH PLANAR ATOMS
BOLSINOV, AV
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1994, 49 (03) : 181 - 182
[2] TOPOLOGICAL CLASSIFICATION OF INTEGRABLE HAMILTONIAN-SYSTEMS WITH 2 DEGREES OF FREEDOM - LIST OF SYSTEMS OF SMALL COMPLEXITY
BOLSINOV, AV
MATVEEV, SV
FOMENKO, AT
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1990, 45 (02) : 59 - 94
[3] ORBITAL EQUIVALENCE OF INTEGRABLE HAMILTONIAN-SYSTEMS WITH 2 DEGREES OF FREEDOM - A CLASSIFICATION THEOREM .1.
BOLSINOV, AV
FOMENKO, AT
[J]. RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS, 1995, 81 (02): : 421 - 465
[4] A TOPOLOGICAL INVARIANT AND A CRITERION FOR THE EQUIVALENCE OF INTEGRABLE HAMILTONIAN-SYSTEMS WITH 2 DEGREES OF FREEDOM
FOMENKO, AT
SISHANG, KT
[J]. MATHEMATICS OF THE USSR-IZVESTIYA, 1990, 54 (03): : 567 - 596
[5] HORSESHOES IN PERTURBATIONS OF HAMILTONIAN-SYSTEMS WITH 2 DEGREES OF FREEDOM
HOLMES, PJ
MARSDEN, JE
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 82 (04) : 523 - 544
[6] EXPANSIVITY FOR OPTICAL HAMILTONIAN-SYSTEMS WITH 2 DEGREES OF FREEDOM
PATERNAIN, GP
PATERNAIN, M
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 316 (08): : 837 - 841
[7] TRANSITION TO STOCHASTICITY OF 2 DEGREES OF FREEDOM HAMILTONIAN-SYSTEMS
ESCANDE, DF
DOVEIL, F
[J]. BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1980, 25 (08): : 987 - 987
[8] HORSESHOES IN PERTURBATIONS OF HAMILTONIAN-SYSTEMS WITH 2 DEGREES OF FREEDOM - COMMENTS
ZIGLIN, SL
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 108 (03) : 527 - 528
[9] A NOTE ON INTEGRABLE 2-DEGREES-OF-FREEDOM HAMILTONIAN-SYSTEMS WITH A 2ND INTEGRAL QUARTIC IN THE MOMENTA
ROMEIRAS, FJ
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (19): : 5633 - 5642
[10] A BORDISM THEORY FOR INTEGRABLE NONDEGENERATE HAMILTONIAN-SYSTEMS WITH 2-DEGREES OF FREEDOM - A NEW TOPOLOGICAL INVARIANT OF HIGHER-DIMENSIONAL INTEGRABLE SYSTEMS
FOMENKO, AT
[J]. MATHEMATICS OF THE USSR-IZVESTIYA, 1992, 39 (01): : 731 - 759

← 1 2 3 4 5 →