外部扰动是星系混沌运动的原因吗？
Are external perturbations responsible for chaotic motion in galaxies?
摘要：
我们研究了在一个对数星系动力学模型中，外加外部扰动的运动性质。两个不同的案件进行了调查。在第一种情况下，外部扰动是固定的，而在第二种情况下，它随时间变化。数值实验表明，混沌现象的原因是外部扰动和致密核的共同作用。发现角动量的临界值与星系系统的动力学参数，即外部扰动的强度、扁率参数和核的半径之间存在线性关系。此外，相平面中的混沌区域的范围，随着外部扰动的强度和平坦化参数的增加线性增加。相反，我们观察到相平面中的混沌轨道所覆盖的百分比，线性下降，随着核的尺度长度的增加，变得不那么密集。理论论据是用来支持和解释数值得到的结果。还提出了目前的结果与早期的结果的比较。
英文摘要：
We study the nature of motion in a logarithmic galactic dynamical model, with an additional external perturbation. Two different cases are investigated. In the first case the external perturbation is fixed, while in the second case it is varying with the time. Numerical experiments suggest, that responsible for the chaotic phenomena is the external perturbation, combined with the dense nucleus. Linear relationships are found to exist, between the critical value of the angular momentum and the dynamical parameters of the galactic system that is, the strength of the external perturbation, the flattening parameter and the radius of the nucleus. Moreover, the extent of the chaotic regions in the phase plane, increases linearly as the strength of the external perturbation and the flattening parameter increases. On the contrary, we observe that the percentage covered by chaotic orbits in the phase plane, decreases linearly, as the scale length of the nucleus increases, becoming less dense. Theoretical arguments are used to support and explain the numerically obtained outcomes. A comparison of the present outcomes with earlier results is also presented.
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