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ID 11483
JaLCDOI
Sort Key
3
Title Alternative
On Persistence in Dynamical Systems (Review)
FullText URL
Author
Sasaki, Toru Kaken ID researchmap
Kajiwara, Tsuyoshi Kaken ID publons researchmap
Abstract
Some important results on persistence are reviewed. These results concern the behavior of the orbits approaching the boundary. The orbits restrict the flow on the boundary, if one of them approaches more than one invariant set. A typical example is a model for cyclic competition, where the heteroclinic cycle can be the ω-limit set. Thus the persistence can be reduced to some conditions on the boundary flow.
Keywords
persistence
ordinary differential equation
dynamical system
Publication Title
岡山大学環境理工学部研究報告
Published Date
2005-02-28
Volume
volume10
Issue
issue1
Publisher
岡山大学環境理工学部
Publisher Alternative
Faculty of Environmental Science and Technology, Okayama University
Start Page
13
End Page
21
ISSN
1341-9099
NCID
AN10529213
Content Type
Departmental Bulletin Paper
OAI-PMH Set
岡山大学
language
Japanese
File Version
publisher
NAID
Eprints Journal Name
fest