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The theory of non-stationary normal forms

Published online by Cambridge University Press:  19 June 2002

M. GUYSINSKY
M. GUYSINSKY
Affiliation:
Department of Mathematics, Tufts University, Medford, MA 02155, USA (e-mail: mguysi01@emerald.tufts.edu)
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Abstract

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We present a certain version of the ‘non-stationary’ normal forms theory for extensions of topological dynamical systems by smooth contractions of \mathbb{R}^n. The central concept is a notion of a sub-resonance relation which is an appropriate generalization of the notion of resonance between eigenvalues. Finitely differentiable, infinitely differentiable and analytic maps are considered.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 22 , Issue 3 , June 2002, pp. 845 - 862
Copyright
2002 Cambridge University Press