From manifolds to Lagrangian coherent structures in galactic bar models

被引:4
|
作者
Sanchez-Martin, P. [1 ]
Masdemont, J. J. [2 ,3 ]
Romero-Gomez, M. [4 ]
机构
[1] Univ Ramon Llull, GTM Grp Recerca Tecnol Media, Quatre Camins 2, Barcelona 08022, Spain
[2] Univ Politecn Cataluna, IEEC UPC, Diagonal 647 ETSEIB, E-08028 Barcelona, Spain
[3] Univ Politecn Cataluna, Dept Matemat, Diagonal 647 ETSEIB, E-08028 Barcelona, Spain
[4] Univ Barcelona, Inst Ciencies Cosmos, IEEC, Marti & Franques 1, E-08028 Barcelona, Spain
来源
ASTRONOMY & ASTROPHYSICS | 2018年 / 618卷
关键词
galaxies: kinematics and dynamics; galaxies: spiral; galaxies: structure; RESTRICTED 3-BODY PROBLEM; 3-DIMENSIONAL BARS; ORBITAL DYNAMICS; BUILDING-BLOCKS; GLOBAL DYNAMICS; GALAXIES; SYSTEMS; FLOWS; CHAOS; RINGS;
D O I
10.1051/0004-6361/201833451
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study the dynamics near the unstable Lagrangian points in galactic bar models using dynamical system tools in order to determine the global morphology of a barred galaxy. We aim at the case of non-autonomous models, in particular with secular evolution, by allowing the bar pattern speed to decrease with time. We have extended the concept of manifolds widely used in the autonomous problem to the Lagrangian coherent structures (LCS), widely used in fluid dynamics, which behave similar to the invariant manifolds driving the motion. After adapting the LCS computation code to the galactic dynamics problem, we apply it to both the autonomous and non-autonomous problems, relating the results with the manifolds and identifying the objects that best describe the motion in the non-autonomous case. We see that the strainlines coincide with the first intersection of the stable manifold when applied to the autonomous case, while, when the secular model is used, the strainlines still show the regions of maximal repulsion associated to both the corresponding stable manifolds and regions with a steep change of energy. The global morphology of the galaxy predicted by the autonomous problem remains unchanged.
引用
收藏
页数:14
相关论文
共 50 条
  • [21] Lagrangian coherent structures in space plasmas
    Rempel, Erico L.
    Chian, Abraham C. -L.
    Silva, Suzana de S. A.
    Fedun, Viktor
    Verth, Gary
    Miranda, Rodrigo A.
    Gosic, Milan
    REVIEWS OF MODERN PLASMA PHYSICS, 2023, 7 (01)
  • [22] Dynamically consistent Lagrangian coherent structures
    Lekien, F
    Leonard, N
    EXPERIMENTAL CHAOS, 2004, 742 : 132 - 139
  • [23] LAGRANGIAN COHERENT STRUCTURES IN NONLINEAR DYNAMOS
    Rempel, E. L.
    Chian, A. C. -L.
    Brandenburg, A.
    ASTROPHYSICAL JOURNAL LETTERS, 2011, 735 (01)
  • [24] Detecting Lagrangian coherent structures from sparse and noisy trajectory data
    Mowlavi, Saviz
    Serra, Mattia
    Maiorino, Enrico
    Mahadevan, L.
    JOURNAL OF FLUID MECHANICS, 2022, 948
  • [25] Attractivity of coherent manifolds in metapopulation models
    C. Connell McCluskey
    David J. D. Earn
    Journal of Mathematical Biology, 2011, 62 : 509 - 541
  • [26] Attractivity of coherent manifolds in metapopulation models
    McCluskey, C. Connell
    Earn, David J. D.
    JOURNAL OF MATHEMATICAL BIOLOGY, 2011, 62 (04) : 509 - 541
  • [27] Lagrangian coherent structures in the ocean favorable for fishery
    S. V. Prants
    M. Yu. Uleysky
    M. V. Budyansky
    Doklady Earth Sciences, 2012, 447 : 1269 - 1272
  • [28] Detection of Lagrangian Coherent Structures in the SPH framework
    Suna, P. N.
    Colagrossi, A.
    Marrone, S.
    Zhang, A. M.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2016, 305 : 849 - 868
  • [29] Lagrangian coherent structures and inertial particle dynamics
    Sudharsan, M.
    Brunton, Steven L.
    Riley, James J.
    PHYSICAL REVIEW E, 2016, 93 (03)
  • [30] Anisotropic mesh adaptation on Lagrangian Coherent Structures
    Miron, Philippe
    Vetel, Jerome
    Garon, Andre
    Delfour, Michel
    El Hassan, Mouhammad
    JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 231 (19) : 6419 - 6437