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

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 a...

Full description

Saved in:
Bibliographic Details
Main Authors: Meng Jia, Zhong Wu, Junjie Xi, Yi Ru
Format: Conference Proceeding
Language:English
Subjects:
Adaptive systems
Approximation methods
Computational modeling
Eigenvalues and eigenfunctions
Manifolds
Mathematical model
Trajectory
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2156-7379
2156-7387
DOI:10.1109/ICIECS.2010.5678417