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
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;
Conference_Titel :
Information Engineering and Computer Science (ICIECS), 2010 2nd International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-7939-9
Electronic_ISBN :
2156-7379
DOI :
10.1109/ICIECS.2010.5678417
