The computation of two-dimensional manifold of hyperbolic equilibria for vector fields

Meng Jia, Yangyu Fan, Huimin Li, Hengyi Sun, Jing Zhang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents an improved method on manifold computation. It introduces local manifold approximation first. Then it analyzes both advantages and disadvantages of existing methods. After that it describes the new algorithm which computes the trajectory by solving appropriate IVP (initial value problem). At last it simulates the new method to compute manifold growing step by step with equal arc-length along the trajectory, which ensured the efficiency of the algorithm.

Original languageEnglish
Title of host publicationProceedings - 2010 6th International Conference on Natural Computation, ICNC 2010
Pages3089-3092
Number of pages4
DOIs
StatePublished - 2010
Event2010 6th International Conference on Natural Computation, ICNC'10 - Yantai, Shandong, China
Duration: 10 Aug 201012 Aug 2010

Publication series

NameProceedings - 2010 6th International Conference on Natural Computation, ICNC 2010
Volume6

Conference

Conference2010 6th International Conference on Natural Computation, ICNC'10
Country/TerritoryChina
CityYantai, Shandong
Period10/08/1012/08/10

Keywords

  • Angle-constraint
  • Manifold
  • Non-linear system
  • Trajectory continuation

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