Connecting fast-slow systems and Conley Index theory via transversality

Geometric Singular Perturbation Theory (GSPT) and Conley Index Theory are two powerful techniques to analyze dynamical systems. Conley already realized that using his index is easier for singular perturbation problems. In this paper, we will revisit Conley's results and prove that the GSPT...

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Bibliographic Details
Main Author: Christian Kuehn
Format: Article
Language:English
Published: Texas State University 2010-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/106/abstr.html