ADIABATIC INVARIANTS OF DYNAMICAL-SYSTEMS WITH 2 DEGREES OF FREEDOM

被引：7

作者：

CVETICANIN, L

机构：

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1994年 / 29卷 / 05期

关键词：

D O I：

10.1016/0020-7462(94)90072-8

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper the adiabatic invariants of dynamic systems with two degrees of freedom are obtained. The method (Dj. S. Djukic, Int. J. Non-linear Mech. 16, 489-498, 1981) developed for dynamic systems with one degree of freedom is extended for the system with two degrees of freedom. The method is based on Noether's theory and the use of the Krylov-Bogolubov-Mitropolski asymptotic technique. The equations of motion of a rotor with hydrodynamic force are approximately solved using four independent adiabatic invariants for the problem.

引用

页码：799 / 808

页数：10

共 50 条

[21] STREAMLINE ANALOGIES FOR 2 DEGREES OF FREEDOM DYNAMICAL SYSTEMS
SZEBEHELY, V
[J]. SIAM REVIEW, 1964, 6 (01) : 99 - &
[22] 2ND-ORDER INVARIANTS FOR 2-DIMENSIONAL CLASSICAL DYNAMICAL-SYSTEMS
KAUSHAL, RS
PARASHAR, D
MISHRA, SC
[J]. FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 1994, 42 (08): : 689 - 705
[23] Dynamical systems with two degrees of freedom
Birkhoff, GD
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1917, 3 : 314 - 316
[24] Dynamical systems with two degrees of freedom
Birkhoff, George D.
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1917, 18 (1-4) : 199 - 300
[25] NOTES ON ALGEBRAIC INVARIANTS FOR NON-COMMUTATIVE DYNAMICAL-SYSTEMS
LONGO, R
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 69 (03) : 195 - 207
[26] NEW NON-LINEAR DYNAMICAL-SYSTEMS POSSESSING INVARIANTS
RAY, JR
REID, JL
LUTZKY, M
[J]. PHYSICS LETTERS A, 1981, 84 (02) : 42 - 44
[27] INVARIANTS FOR SMOOTH CONJUGACY OF HYPERBOLIC DYNAMICAL-SYSTEMS .4.
DELALLAVE, R
MORIYON, R
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 116 (02) : 185 - 192
[28] DYNAMICAL-SYSTEMS WITH A LARGE NUMBER OF DEGREES OF FREEDOM - STOCHASTIC MATHEMATICAL-ANALYSIS FOR A CLASS OF DETERMINISTIC PROBLEMS
BELLOMO, N
PISTONE, G
[J]. MECHANICS RESEARCH COMMUNICATIONS, 1979, 6 (02) : 75 - 80
[29] APSIDAL ANGLES FOR SYMMETRICAL DYNAMICAL SYSTEMS WITH 2 DEGREES OF FREEDOM
SYNGE, JL
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1947, 53 (07): : 747 - 747
[30] SOME DYNAMICAL SYSTEMS OF 2 DEGREES OF FREEDOM IN CELESTIAL MECHANICS
JEFFERYS, WH
[J]. ASTRONOMICAL JOURNAL, 1966, 71 (05): : 306 - &

← 1 2 3 4 5 →