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Regular and Chaotic Dynamics, 2013, Volume 18, Issue 6, Pages 742–773
DOI: https://doi.org/10.1134/S1560354713060130 (Mi rcd168) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A Forgotten Theorem on $\mathbf{Z}^k \times \mathbf{R}^m$-action Germs and Related Questions

Marc Chaperon

Institut de Mathématiques de Jussieu, Université Paris 7, Bâtiment Sophie Germain, Case 7012, 75205 PARIS CEDEX 13, France
Citations (5)
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DOI: https://doi.org/10.1134/S1560354713060130
Abstract: Two weakly hyperbolic smooth $\mathbf{Z}^k \times \mathbf{R}^m$-action germs are smoothly conjugate if and only if they are formally conjugate, and such.
Keywords: Hyperbolic, action germ, conjugacy, invariant manifold, normal form, flow, Lyapunov function, Cauchy problem, holomorphic vector field, first integral.
Funding agency Grant number
Agence Nationale de la Recherche ANR-10-BLAN 0102
While preparing this paper, the author was a beneficiary of the grant “ANR-10-BLAN 0102” and an affiliate of the IMCCE, Observatoire de Paris.
Received: 01.10.2013
Accepted: 22.11.2013
Bibliographic databases:
Document Type: Article
MSC: 34A26, 34C20, 34C45, 34M35, 37C15, 37C85, 37D10, 37D15, 37D30, 37F75, 37G05, 01-02, 01A80
Language: English
Citation: Marc Chaperon, “A Forgotten Theorem on $\mathbf{Z}^k \times \mathbf{R}^m$-action Germs and Related Questions”, Regul. Chaotic Dyn., 18:6 (2013), 742–773
Citation in format AMSBIB
\Bibitem{Cha13}
\by Marc Chaperon
\paper A Forgotten Theorem on $\mathbf{Z}^k \times \mathbf{R}^m$-action Germs and Related Questions
\jour Regul. Chaotic Dyn.
\yr 2013
\vol 18
\issue 6
\pages 742--773
\mathnet{http://mi.mathnet.ru/rcd168}
\crossref{https://doi.org/10.1134/S1560354713060130}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3146591}
\zmath{https://zbmath.org/?q=an:06292772}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000329108900013}
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  • https://www.mathnet.ru/eng/rcd/v18/i6/p742
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:28
     
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