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Chaotic transients and hysteresis in an α 2 dynamo model
Journal of Physics: Complexity Pub Date : 2021-03-16 , DOI: 10.1088/2632-072x/abd1c6
Dalton N Oliveira 1 , Erico L Rempel 1 , Roman Chertovskih 2 , Bidya B Karak 3
Affiliation  

The presence of chaotic transients in a nonlinear dynamo is investigated through numerical simulations of the 3D magnetohydrodynamic equations. By using the kinetic helicity of the flow as a control parameter, a hysteretic blowout bifurcation is conjectured to be responsible for the transition to dynamo, leading to a sudden increase in the magnetic energy of the attractor. This high-energy hydromagnetic attractor is suddenly destroyed in a boundary crisis when the helicity is decreased. Both the blowout bifurcation and the boundary crisis generate long chaotic transients that are due, respectively, to a chaotic saddle and a relative chaotic attractor.



中文翻译:

α 2 发电机模型中的混沌瞬变和滞后

通过 3D 磁流体动力学方程的数值模拟研究了非线性发电机中混沌瞬变的存在。通过使用流动的动力学螺旋度作为控制参数,推测滞后井喷分岔是向发电机过渡的原因,导致吸引子的磁能突然增加。当螺旋度降低时,这种高能水磁吸引子在边界危机中突然被破坏。井喷分岔和边界危机都会产生长时间的混沌瞬变,分别归因于混沌鞍形和相对混沌吸引子。

更新日期:2021-03-16
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