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The regular dynamics through the finite-time Lyapunov exponent distributions in 3D Hamiltonian systems
Taani, Ali1; Abushattal, Ahmad2; Mardini, Mohammad K.3,4
2019-11-01
Source PublicationASTRONOMISCHE NACHRICHTEN
ISSN0004-6337
Volume340Issue:9-10Pages:847-851
AbstractWe 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.
Keywordstars: neutron 3D Hamiltonian systems kinematics and dynamics axisymmetric galactic potentials
Funding OrganizationNational 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
DOI10.1002/asna.201913713
WOS KeywordORBITS ; INDICATOR ; MODELS ; MASS
Language英语
Funding ProjectNational 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]
Funding OrganizationNational 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
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000520162800006
PublisherWILEY-V C H VERLAG GMBH
Citation statistics
Document Type期刊论文
Identifierhttp://ir.bao.ac.cn/handle/114a11/55729
Collection中国科学院国家天文台
Corresponding AuthorTaani, Ali
Affiliation1.Al Balqa Appl Univ, Phys Dept, Fac Sci, Salt 19117, Jordan
2.Al Hussein Bin Tala Univ, Dept Phys, Maan, Jordan
3.Chinese Acad Sci, Key Lab Opt Astron, Natl Astron Observ, Beijing, Peoples R China
4.Univ Chinese Acad Sci, Sch Astron & Space Sci, Beijing, Peoples R China
Recommended Citation
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.
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