| On the Calculation of Lyapunov Indicators with Post-stabilization in a Weyl Field |
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| 作者姓名： | Xin Wu Hong Zhang and Xiao-Sheng Wan |
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| 作者单位： | Xin Wu，Hong Zhang and Xiao-Sheng Wan Department of Physics，Nanchang University，Nanchang 330047; Department of Astronomy，Nanjing University，Nanjing 210093; |
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| 基金项目： | Supported by the National Natural Science Foundation of China. |
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| 摘 要： | 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 O), while keeping the other two fixed, and identify the intervals of the varying parameter where the motion is regular or chaotic.
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| 关 键 词： | 恒星物理学 黑洞 混沌 数值模拟 |
On the Calculation of Lyapunov Indicators with Post-stabilization in a Weyl Field |
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| Xin Wu,Hong Zhang and Xiao-Sheng Wan.On the Calculation of Lyapunov Indicators with Post-stabilization in a Weyl Field[J].Chinese Journal of Astronomy and Astrophysics,2006,6(2):125-140. |
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| Authors: | Xin Wu Hong Zhang Xiao-Sheng Wan |
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| Institution: | [1]Department of Physics, Nanchang University, Nanchang 330047 [2]Department of Astronomy, Nanjing University, Nanjing 210093 |
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| 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 O), while keeping the other two fixed, and identify the intervals of the varying parameter where the motion is regular or chaotic. |
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| Keywords: | black hole physics - stars: circumstellar matter - chaos - methods: numerical |
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