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The theory of non-stationary normal forms

  • M. GUYSINSKY (a1)

Abstract

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.

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The theory of non-stationary normal forms

  • M. GUYSINSKY (a1)

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