• DocumentCode
    1902670
  • Title

    An Arc-Length Constraint Method for Computing Invariant Manifold in Three Dimensional Non-Autonomous Dynamical System

  • Author

    Jia, Meng ; Wu, Zhong ; Xi, Junjie ; Ru, Yi

  • Author_Institution
    Dept. of Electr. Eng., Xin Xiang Coll., XinXiang, China
  • fYear
    2010
  • fDate
    25-26 Dec. 2010
  • Firstpage
    1
  • Lastpage
    3
  • Abstract
    The paper attempts to find an appropriate way to compute the manifold in three dimensional non-autonomous dynamical systems.It combines the arc-length constraint method and the angle adaptive approach to compute the vertexes of the manifold and records the cost time for each step.Then all vertexes are meshed together and colored by cost time.In this way the results not only show the shape of manifold,but also reflect the increasing speed of the flows.
  • Keywords
    approximation theory; manifolds; angle adaptive approach; arc-length constraint method; invariant manifold; nonautonomous dynamical system; Adaptive systems; Approximation methods; Computational modeling; Eigenvalues and eigenfunctions; Manifolds; Mathematical model; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Engineering and Computer Science (ICIECS), 2010 2nd International Conference on
  • Conference_Location
    Wuhan
  • ISSN
    2156-7379
  • Print_ISBN
    978-1-4244-7939-9
  • Electronic_ISBN
    2156-7379
  • Type

    conf

  • DOI
    10.1109/ICIECS.2010.5678417
  • Filename
    5678417