Periodic delay orbits and the polyfold implicit function theorem

We consider differential delay equations of the form $\partial_tx(t) = X_{t}(x(t - \tau))$ in $\mathbb{R}^n$, where $(X_t)_{t\in S^1}$ is a time-dependent family of smooth vector fields on $\mathbb{R}^n$ and $\tau$ is a delay parameter. If there is a (suitably non-degenerate) periodic solution $x_0$...

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Bibliographic Details
Main Authors: Albers, Peter (Author) , Seifert, Irene (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 30 Nov 2020
In: Arxiv
Year: 2020, Pages: 1-20
DOI:10.48550/arXiv.2011.14828
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2011.14828
Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2011.14828
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Author Notes:Peter Albers, Irene Seifert
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Periodic delay orbits and the polyfold implicit function theorem by Albers, Peter (Author) , Seifert, Irene (Author) ,


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