Regular and irregular motions in a duffing oscillator

被引：3
|
作者：
Nikitina, NV [1 ]
机构：
[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, Kiev, Ukraine
来源：
INTERNATIONAL APPLIED MECHANICS | 2000年 / 36卷 / 01期
关键词：
Characteristic Index; Periodic Excitation; Closed Trajectory; Circular Trajectory; Periodic Disturbance;
D O I：
10.1007/BF02681968
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
This paper deals with the problems of identifying oscillations with regular and chaotic attractors in deterministic oscillating systems. It discusses a new approach based on the dynamical principle of symmetry, the construction of aperiodic solution domains, and the analysis of characteristic indices of quasistatic solutions for circular trajectories tin polar coordinates). The Duffing equation is examined within the framework of the dynamical principle of symmetry.
引用
收藏
页码：128 / 133
页数：6
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