The regular dynamics through the finite-time Lyapunov exponent distributions in 3D Hamiltonian systems
文献类型：期刊论文
| 作者 | Taani, Ali4; Abushattal, Ahmad1; Mardini, Mohammad K.2,3 |
| 刊名 | ASTRONOMISCHE NACHRICHTEN
 |
| 出版日期 | 2019-11-01 |
| 卷号 | 340期号:9-10页码:847-851 |
| ISSN号 | 0004-6337 |
| 关键词 | stars: neutron 3D Hamiltonian systems kinematics and dynamics axisymmetric galactic potentials |
| DOI | 10.1002/asna.201913713 |
| 英文摘要 | We investigate the application as a technique of the so-called finite-time Lyapunov exponent, a scalar value that measures the average, or integrated, separation between trajectories in integrable dynamical systems to quantify the predictability limit of the asymptotic global behavior of old compact star systems (1-10 Gyr), for instance, neutron stars. For this purpose, the Hamiltonian systems with a three-dimensional self-gravitating axisymmetric potential are superimposed due to the influence of different birth and kick velocity distributions. We find the behavior of the density distributions P(x) for the finite-time exponents, which follow a log-normal distribution (transformed into a Gaussian distribution), with a given mean deviation centered around the global values, at larger Delta t. It is shown that simple models of distributions reflect the underlying dynamics. We also analyze the predictability and the deviation vector omega(t), obtained from the distributions, by randomly selecting the initial deviation directions, and consequently the stellar dynamic stability of the periodic orbits, in three-dimensional (3D) Hamiltonian systems over time. The behavior of the orbits is strongly influenced by the regular nature of the motion. |
| WOS关键词 | ORBITS ; INDICATOR ; MODELS ; MASS |
| 资助项目 | National Natural Science Foundation of China[11988101] ; National Natural Science Foundation of China[11890694] ; National Key R&D Program of China[2019YFA0405500] ; Al-Hussein Bin Talal University, Deanship of Scientific Research and Graduate Studies[17/2018] |
| WOS研究方向 | Astronomy & Astrophysics |
| 语种 | 英语 |
| 出版者 | WILEY-V C H VERLAG GMBH |
| WOS记录号 | WOS:000520162800006 |
| 资助机构 | National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of China ; National Key R&D Program of China ; Al-Hussein Bin Talal University, Deanship of Scientific Research and Graduate Studies ; Al-Hussein Bin Talal University, Deanship of Scientific Research and Graduate Studies ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of China ; National Key R&D Program of China ; Al-Hussein Bin Talal University, Deanship of Scientific Research and Graduate Studies ; Al-Hussein Bin Talal University, Deanship of Scientific Research and Graduate Studies ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of China ; National Key R&D Program of China ; Al-Hussein Bin Talal University, Deanship of Scientific Research and Graduate Studies ; Al-Hussein Bin Talal University, Deanship of Scientific Research and Graduate Studies ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of China ; National Key R&D Program of China ; Al-Hussein Bin Talal University, Deanship of Scientific Research and Graduate Studies ; Al-Hussein Bin Talal University, Deanship of Scientific Research and Graduate Studies |
| 源URL | [http://ir.bao.ac.cn/handle/114a11/55728]  |
| 专题 | 中国科学院国家天文台 |
| 通讯作者 | Taani, Ali |
| 作者单位 | 1.Al Hussein Bin Tala Univ, Dept Phys, Maan, Jordan 2.Chinese Acad Sci, Key Lab Opt Astron, Natl Astron Observ, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Sch Astron & Space Sci, Beijing, Peoples R China 4.Al Balqa Appl Univ, Phys Dept, Fac Sci, Salt 19117, Jordan |
| 推荐引用方式 GB/T 7714 | Taani, Ali,Abushattal, Ahmad,Mardini, Mohammad K.. The regular dynamics through the finite-time Lyapunov exponent distributions in 3D Hamiltonian systems[J]. ASTRONOMISCHE NACHRICHTEN,2019,340(9-10):847-851. |
| APA | Taani, Ali,Abushattal, Ahmad,&Mardini, Mohammad K..(2019).The regular dynamics through the finite-time Lyapunov exponent distributions in 3D Hamiltonian systems.ASTRONOMISCHE NACHRICHTEN,340(9-10),847-851. |
| MLA | Taani, Ali,et al."The regular dynamics through the finite-time Lyapunov exponent distributions in 3D Hamiltonian systems".ASTRONOMISCHE NACHRICHTEN 340.9-10(2019):847-851. |
入库方式： OAI收割
来源：国家天文台
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