STABILITY AND HOPF BIFURCATIONS IN AN INVERTED PENDULUM

被引：90
|
作者：
BLACKBURN, JA
SMITH, HJT
GRONBECHJENSEN, N
机构：
[1] UNIV WATERLOO,DEPT PHYS,WATERLOO N2L 3G1,ONTARIO,CANADA
[2] TECH UNIV DENMARK,PHYS LAB 1,DK-2800 LYNGBY,DENMARK
来源：
AMERICAN JOURNAL OF PHYSICS | 1992年 / 60卷 / 10期
关键词：
D O I：
10.1119/1.17011
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
The inverted state of a simple pendulum is a configuration of unstable equilibrium. This instability may be removed if the pivot is harmonically displaced up and down with appropriate frequency and amplitude. Numerical simulations are employed to investigate the stable domains of the system. The associated basins of attraction, extracted by interpolated cell mapping, are seen to be fractal. Loss of stability at high excitation amplitudes is observed to follow a Hopf bifurcation.
引用
收藏
页码：903 / 908
页数：6
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