学术
On the Calculation of Lyapunov Indicators with Post-stabilization in a Weyl Field
Xin Wu[1,2] Hong Zhang[2] Xiao-Sheng Wan[2]
[1]Department of Physics, Nanchang University, Nanchang 330047 [2]Department of Astronomy, Nanjing University, Nanjing 210093
文章出处:
《中国天文和天体物理学报：英文版》-2006年6卷2期 -125-140页
分 类 号:
On the Calculation of Lyapunov Indicators with Post-stabilization in a Weyl Field
Xin Wu（Department of Physics, Nanchang University, Nanchang 330047;Department of Astronomy, Nanjing University, Nanjing 210093） Hong Zhang（Department of Astronomy, Nanjing University, Nanjing 210093） Xiao-Sheng Wan（Department of Astronomy, Nanjing University, Nanjing 210093）
Abstract:
We present details of a work aiming at the overestimation of Lyapunov exponents defined by the geodesic deviation equations in the previous work. The geodesic deviation vector with post-stabilization is used to compute the fast Lyapunov indicator, considered to be a very sensitive tool for discrimination between ordered or weakly chaotic motions. We make a detailed study of the dynamics in the superposed Weyl field between a black hole and shell of octopoles by using the fast Lyapunov indicator with the Poincare surface of section. In particular, we examine the effects on the dynamics around the fixed points, of varying one of the three parameters （specific energy E, specific angular momentum L and octopolar moment 0）, while keeping the other two fixed, and identify the intervals of the varying parameter where the motion is regular or chaotic.[著者文摘]
Key words:
black hole physics - stars： circumstellar matter - chaos - methods：numerical
基金资助:
Supported by the National Natural Science Foundation of China.
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