Computation of Distinguished Hyperbolic Trajectories in Time-dependent Vector Fields

被引：0
|
作者：
Yao, Peng [1 ]
Wang, Yanbo [1 ]
Chen, Gairong [1 ]
Li, Qiong [1 ]
机构：
[1] Xin Xiang Coll Chem Dept, Xin Xiang 453003, He Nan, Peoples R China
来源：
FRONTIERS OF GREEN BUILDING, MATERIALS AND CIVIL ENGINEERING, PTS 1-8 | 2011年 / 71-78卷
关键词：
Distinguished hyperbolic trajectory; Non-automatic system; Time-dependent vector fields; EQUATIONS; STABILITY; SYSTEMS; FLOWS;
D O I：
10.4028/www.scientific.net/AMM.71-78.3909
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
By studying the definition of DHT (distinguished hyperbolic trajectory) and existing measure function in phase space, a measure function in the extended phase space is presented in this paper. Effect of system frequency on computation of DHT is explored. Two-dimensional and three-dimensional Duffing systems are taken as examples. The comparison between measure function in extended phase space and that in phase space and the comparison between natural frequency and twice frequency are both given by figures.
引用
收藏
页码：3909 / +
页数：2
相关论文
共 50 条
  • [1] Computation and Analysis of Distinguished Hyperbolic Trajectories in Time-Dependent Vector Fields
    Li, Wenxing
    Ji, Qinghua
    2012 INTERNATIONAL WORKSHOP ON INFORMATION AND ELECTRONICS ENGINEERING, 2012, 29 : 4313 - 4317
  • [2] Computation of distinguished trajectories in time dependent vector fields
    Sun, Hengyi
    Fan, Yangyu
    Jia, Meng
    Li, Huimin
    Zhang, Jing
    Jisuan Wuli/Chinese Journal of Computational Physics, 2011, 28 (04): : 611 - 620
  • [3] Distinguished trajectories in time dependent vector fields
    Jimenez Madrid, J. A.
    Mancho, A. M.
    CHAOS, 2009, 19 (01)
  • [4] Existence and computation of hyperbolic trajectories of aperiodically time dependent vector fields and their approximations
    Ju, N
    Small, D
    Wiggins, S
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (06): : 1449 - 1457
  • [5] Computation of stable and unstable manifolds of hyperbolic trajectories in two-dimensional, aperiodically time-dependent vector fields
    Mancho, AM
    Small, D
    Wiggins, S
    Ide, K
    PHYSICA D-NONLINEAR PHENOMENA, 2003, 182 (3-4) : 188 - 222
  • [6] Extraction of Distinguished Hyperbolic Trajectories for 2D Time-Dependent Vector Field Topology
    Hofmann, Lutz
    Sadlo, Filip
    COMPUTER GRAPHICS FORUM, 2020, 39 (03) : 303 - 315
  • [7] Distinguished hyperbolic trajectories in time-dependent fluid flows: analytical and computational approach for velocity fields defined as data sets
    Ide, K
    Small, D
    Wiggins, S
    NONLINEAR PROCESSES IN GEOPHYSICS, 2002, 9 (3-4) : 237 - 263
  • [8] Discussion and Visualization of Distinguished Hyperbolic Trajectories as a Generalization of Critical Points to 2D Time-dependent Flow
    Bujack, Roxana
    2022 IEEE WORKSHOP ON TOPOLOGICAL DATA ANALYSIS AND VISUALIZATION (TOPOINVIS 2022), 2022, : 59 - 69
  • [9] Fast computation of time-dependent acoustic fields
    Carley, Michael
    Ghorbaniasl, Ghader
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2016, 140 (05): : 3963 - 3970
  • [10] Stratified transversality via time-dependent vector fields
    Murolo, C
    Du Plessis, AA
    Trotman, DJA
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2005, 71 : 516 - 530
12345