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Normal forms for periodic retarded functional differential equations

Published online by Cambridge University Press:  14 November 2011

Teresa Faria
Teresa Faria
Affiliation:
Departamento de Matemática, Faculdade de Ciências/CMAF, Univ. Lisboa, R. Ernesto Vasconcelos, 1700 Lisboa, Portugal
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Abstract

This paper addresses the computation of normal forms for periodic retarded functional differential equations (FDEs) with autonomous linear part. The analysis is based on the theory previously developed for autonomous retarded FDEs. Adequate nonresonance conditions are derived. As an illustration, the Bogdanov–Takens and the Hopf singularities are considered.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 127 , Issue 1 , 1997 , pp. 21 - 46
Copyright
Copyright © Royal Society of Edinburgh 1997

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