Invariant sets through resonant normal form for infinite dimensional holomorphic vector fields
Dynamical Systems
2025-11-07 v1 Analysis of PDEs
Abstract
In this paper, we study infinite dimensional holomorphic vector fields on sequence spaces, having a fixed point at . Under suitable hypotheses we prove the existence of analytic invariant submanifolds passing through the fixed point. The restricted dynamics is analytically conjugate to the linear one under some Diophantine-like condition.
Cite
@article{arxiv.2511.04379,
title = {Invariant sets through resonant normal form for infinite dimensional holomorphic vector fields},
author = {Jessica Elisa Massetti and Michela Procesi and Laurent Stolovitch},
journal= {arXiv preprint arXiv:2511.04379},
year = {2025}
}