| Автор | Sang-Yoon Kim |
| Дата выпуска | 1999-10-01 |
| dc.description | 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' (i.e., 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. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Nonlinear dynamics of a damped magnetic oscillator |
| Тип | paper |
| DOI | 10.1088/0305-4470/32/39/302 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 32 |
| Первая страница | 6727 |
| Последняя страница | 6739 |
| Аффилиация | Sang-Yoon Kim; Department of Physics, Kangwon National University, Chunchon, Kangwon-Do 200-701, Korea |
| Выпуск | 39 |
