Normal forms for contracting dynamics, revisited
Aaron Brown, Alex Eskin, Simion Filip, Federico Rodriguez, Hertz
TL;DR
This paper revisits the theory of normal forms for non-uniformly contracting dynamics, providing lemmas and reformulations to support future research in the area.
Contribution
It offers new lemmas and reformulations of the standard theory of normal forms for contracting dynamics, aiding further studies.
Findings
Provides a collection of useful lemmas.
Reformulates standard theory for broader applicability.
Supports future research projects.
Abstract
We revisit the theory of normal forms for non-uniformly contracting dynamics. We collect a number of lemmas and reformulations of the standard theory that will be used in other projects.
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Taxonomy
TopicsControl and Stability of Dynamical Systems