Bifurcations in parametrically forced magnetic pendulum

• 영문명: Bifurcations in parametrically forced magnetic pendulum
• 발행기관: 강원대학교 기초과학연구소
• 저자명: Sang-Yoon Kim Seung-Ho Shin Jaichul Yi Chi-Woong Jang`
• 간행물 정보: 『기초과학연구』제8집, 174~188쪽, 전체 15쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 1997.12.01

영문 초록

An experimental study of bifurcations associated with the stability of stationary points(SP's) in a parametrically forced magnetic pendulum, and a comparison of its results with numerical results, are persented. The critical values for which the SP's lose or gain their stability are experimentally measured by varying the two parameters Ω(the normalized natural frequency) and A (the normalized driving amplitude). It is observed that, when the amplitude A exceeds a critical value, the normal SP with θ=0(θ is the angle between the permanent magnet and the magnetic field) becomes unstable either by a period-doubling bifurcation or by a symmetry breaking pitchfork bifurcation, depending on the values of Ω. However, in contrast with the normal SP the inverted SP, with θ=π is observed to become stable as A is increased above a critical value by a pitchfork bifurcation, but it also destabilizes for a higher critical value of A by a period-doubling bifurcation. All of these experimental results agree well with numerical results obtained using Floquet theory. [S1063-651X(97) 06212-0]

목차

Ⅰ.INTRODUCTION

Ⅱ.EXPERIMENTAL SETUP

Ⅲ.BIFURCATIONS OF THE NORMAL AND INVERTED SPS

Ⅳ.SUMMARY

ACKNOWLEDGEMENTS

REFERENCES