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Normal forms and invariant geometric structures for dynamical systems with invariant contracting foliations

Normal forms and invariant geometric structures for dynamical systems with invariant contracting foliations

We present a certain version of the "non-stationary" normal forms theory for extensions of topological dynamical systems (homeomorphisms of compact metrizable spaces) by smooth (C ∞ ) contractions of R n .The central concept is a notion of a sub-resonance relation which is an appropriate generalization of the notion of …