Bifurcations in a Horizontally Driven Pendulum

• 영문명: Bifurcations in a Horizontally Driven Pendulum
• 발행기관: 강원대학교 기초과학연구소
• 저자명: Jaeyong JEONG Sang-Yoon Kim
• 간행물 정보: 『기초과학연구』제10집, 325~330쪽, 전체 6쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 1999.12.01

영문 초록

We consider a forced pendulum with a horizontally oscillating suspension point. Bifurcations associated with stability at the symmetric period-l orbit (SPO), arising from the "unforced" stationary point, are investigated in details by varying the two parameters A (the normalized driving amplitude) and Ω (the normalized natural frequency). We thus obtain the phase diagram showing the bifurcation curves or the SPO in the Ω-A plane through numerical calculations or the Floquet (stability) multipliers and winding numbers. We note that a specific substructure in the bifurcation set of the SPO recurs in the parameter plane.

목차

1. INTRODUCTION

2. STABILITY, BIFURCATIONS, AND WINDING NUMBERS

3. BIFURCATIONS OF THE SPO

4. SUMMARY

REFERENCES