Nonlinear dynamics of a damped magnetic oscillator

• 영문명: Nonlinear dynamics of a damped magnetic oscillator
• 발행기관: 강원대학교 기초과학연구소
• 저자명: Sang-Yoon Kim
• 간행물 정보: 『기초과학연구』제10집, 312~324쪽, 전체 13쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 1999.12.01

영문 초록

We consider a damped magnetic oscillator (MO). consisting of a permanent magnet in a periodically oscillating magnetic field. A detailed investigation of the dynamics of this dissipative magnetic system is made by varying the field amplitude A. As A is increased. the damped MO, albeit simple looking, exhibits rich dynamical behaviours such as symmetry-breaking pitchfork bifurcations, period-doubling transitions to chaos, symmetry-restoring attractor-merging crises, and saddle-node bifurcations giving rise to new periodic attractors. Besides these familiar behaviours, a cascade of 'resurrections' (Le.. an infinite sequence of alternating restabilizations and destabilizations) of the stationary points also occurs. It is found that the stationary points restabilize (destabilize) through alternating subcritical (supercritical) period-doubling and pitchfork bifurcations. We also discuss the critical behaviours in the period-doubling cascades.

목차

1. Introduction

2. Stability, bifurcations and Lyapunov exponents

3. Rich dynamical behaviours of the damped MO

4. Critical scaling behaviours in the period-doubling cascades

5. Summary

References