# Normalization in Lie algebras via mould calculus and applications

@article{Paul2016NormalizationIL,
title={Normalization in Lie algebras via mould calculus and applications},
author={Thierry Paul and David Sauzin},
journal={Regular and Chaotic Dynamics},
year={2016},
volume={22},
pages={616-649}
}
• Published 2016
• Mathematics
• Regular and Chaotic Dynamics
We establish Écalle’s mould calculus in an abstract Lie-theoretic setting and use it to solve a normalization problem, which covers several formal normal form problems in the theory of dynamical systems. The mould formalism allows us to reduce the Lie-theoretic problem to a mould equation, the solutions of which are remarkably explicit and can be fully described by means of a gauge transformation group. The dynamical applications include the construction of Poincaré–Dulac formal normal forms… Expand
5 Citations

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