Crisis-induced intermittency in truncated mean field dynamos

被引:18
作者
Covas, E
Tavakol, R
机构
[1] Astronomy Unit, School of Mathematical Sciences, Queen Mary&Westfield College, London, E1 4NS, Mile End Road
来源
PHYSICAL REVIEW E | 1997年 / 55卷 / 06期
关键词
D O I
10.1103/PhysRevE.55.6641
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We investigate the detailed dynamics of a truncated alpha omega dynamo model with a dynamic alpha effect. We find the presence of multiple attractors, including two chaotic attractors with a fractal basin boundary that merge to form a single attractor as the control parameter is increased. By considering phase portraits and the scaling of averaged times of transitions between the two attractors, we demonstrate that this merging is accompanied by a crisis-induced intermittency. We also find a range of parameter values over which the system has a fractal parameter dependence for fixed initial conditions. To the authors' knowledge, this is the first time this type of intermittency has been observed in a dynamo model and it could be of potential importance in accounting for some forms of intermittency in the solar and stellar output.
引用
收藏
页码:6641 / 6645
页数:5
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