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arXiv · 2411.03188

On exponentially accurate approximation of a near the identity map by an autonomous flow

V. Gelfreich·A. Vieiro
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Abstract

This paper contains a proof of a refined version of Neishtadt's theorem which states that an analytic near-identity map can be approximated by the time-one map of an autonomous flow with exponential accuracy. We provide explicit expressions for the vector fields and give explicit bounds for the error terms.

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V. Gelfreich, A. Vieiro. 2024-11-05. On exponentially accurate approximation of a near the identity map by an autonomous flow. https://arxiv.org/abs/2411.03188

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