ON PERIODIC-ORBITS OF NONLINEAR DYNAMIC-SYSTEMS WITH MANY DEGREES OF FREEDOM

被引:15
作者
MAHMOUD, GM
机构
[1] Department of Mathematics, Faculty of Science, Assiut University, Assiut
来源
PHYSICA A | 1992年 / 181卷 / 3-4期
关键词
D O I
10.1016/0378-4371(92)90095-8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The purpose of this article is to extend our investigation to periodic orbits of nonlinear dynamical systems with many degrees of freedom. The method of generalized averaging and the indicatrix method are developed. An example is studied to illustrate our techniques. The analytical expressions are in good agreement with numerical results computed by the indicatrix method for this example.
引用
收藏
页码:385 / 395
页数:11
相关论文
共 11 条
[1]  
Bountis T. C., 1987, Particle Accelerators, V22, P129
[2]   ON DAMPED NONLINEAR DYNAMIC-SYSTEMS WITH MANY DEGREES OF FREEDOM [J].
CHI, CC ;
ROSENBERG, RM .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1985, 20 (5-6) :371-384
[3]   COUPLED TORSIONAL AND TRANSVERSE VIBRATION OF UNBALANCED ROTOR [J].
COHEN, R ;
PORAT, I .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1985, 52 (03) :701-705
[4]  
GILSINN DE, 1982, SIAM J APPL MATH, V42, P1
[5]  
Guckenheimer J., 2013, APPL MATH SCI, DOI 10.1007/978-1-4612- 1140-2
[6]  
KEVORKIAN J, 1987, SIAM REV, V29
[7]  
LIEBERMAN MA, 1983, REGULAR STOCHASTIC M
[8]   SYNCHRONIZED PERIODIC-SOLUTIONS OF A CLASS OF PERIODICALLY DRIVEN NONLINEAR OSCILLATORS [J].
MAHMOUD, GM ;
BOUNTIS, T .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1988, 55 (03) :721-728
[9]  
Nayfeh A. H., 2008, NONLINEAR OSCIL
[10]  
SETHNA PR, 1963, ITN S NONLINEAR DIFF