1999年
The Conley index for fast-slow systems I. One-dimensional slow variable
Journal of Dynamics and Differential Equations
- ,
- ,
- ,
- ,
- 巻
- 11
- 号
- 3
- 開始ページ
- 427
- 終了ページ
- 470
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1023/A:1021961819853
- 出版者・発行元
- Springer Science and Business Media Deutschland GmbH
We develop a qualitative theory for fast-slow systems with a one-dimensional slow variable. Using Conley index theory for singularity perturbed systems, conditions are given which imply that if one can construct heteroclinic connections and periodic orbits in systems with the derivative of the slow variable set to 0, these orbits persist when the derivative of the slow variable is small and nonzero. © 1999 Plenum Publishing Corporation.
- ID情報
-
- DOI : 10.1023/A:1021961819853
- ISSN : 1572-9222
- ISSN : 1040-7294
- SCOPUS ID : 33646383658