具有扁长或扁长暗晕成分的活动星系模型中的混沌演化
The evolution of chaos in active galaxy models with an oblate or a prolate dark halo component
摘要：
研究了具有盘、致密核和平坦双轴暗晕分量的星系动力学模型中混沌运动的演化。两种情况下进行了研究：（i）的情况下，晕组件是扁圆形的情况下，其中一个扁长晕存在。数值计算表明，在这两种情况下，混沌区的范围呈指数下降的暗晕的尺度长度的增加。另一方面，混沌区的范围与晕分量的平坦度参数之间存在线性关系。还发现了角动量临界值与平直度参数之间的线性关系，并给出了支持数值结果的一些理论依据。通过计算李雅普诺夫特征指数估计混沌的程度。与早期的工作也进行了比较。
英文摘要：
The evolution of chaotic motion in a galactic dynamical model with a disk, a dense nucleus and a flat biaxial dark halo component is investigated. Two cases are studied: (i) the case where the halo component is oblate and (ii) the case where a prolate halo is present. In both cases, numerical calculations show that the extent of the chaotic regions decreases exponentially as the scale-length of the dark halo increases. On the other hand, a linear relationship exists between the extent of the chaotic regions and the flatness parameter of the halo component. A linear relationship between the critical value of the angular momentum and the flatness parameter is also found. Some theoretical arguments to support the numerical outcomes are presented. An estimation of the degree of chaos is made by computing the Lyapunov Characteristic Exponents. Comparison with earlier work is also made.
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