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Continuation of the connection matrix in singular perturbation problems

Published online by Cambridge University Press:  10 July 2006

MARIA C. CARBINATTO  and
KRZYSZTOF P. RYBAKOWSKI
MARIA C. CARBINATTO
Affiliation:
Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo—Campus de São Carlos, Caixa Postal 668, 13560-970 São Carlos SP, Brazil (e-mail: mdccarbi@icmc.usp.br)
KRZYSZTOF P. RYBAKOWSKI
Affiliation:
Universität Rostock, Institut für Mathematik, Universitätsplatz 1, 18055 Rostock, Germany (e-mail: krzysztof.rybakowski@mathematik.uni-rostock.de)
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Abstract

In this paper, which is a sequel to our previous work (On a general Conley index continuation principle for singular perturbation problems. Ergod. Th. & Dynam. Sys.22 (2002), 729–755) we establish a general singular nested index filtration principle which, in particular, implies a continuation principle for homology index braids and connection matrices in singular perturbation problems.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 4 , August 2006 , pp. 1021 - 1059
Copyright
2006 Cambridge University Press

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