论文标题
$α^{2} $ dynamo模型中的混沌瞬变和滞后
Chaotic transients and hysteresis in an $α^{2}$ dynamo model
论文作者
论文摘要
通过3D磁水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。通过将流动的动力螺旋作为对照参数，滞后分叉被猜想是负责到发电机的过渡，从而导致吸引子的磁能突然增加。当螺旋降低时，这种高能的水磁吸引子在边界危机中突然被破坏。井喷分叉和边界危机都产生了长长的混沌瞬变，分别归因于混乱的马鞍和相对混乱的吸引子。
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.
