Exponentially long time stability near an equilibrium point for non-linearizable analytic vector fields

    Research output: Contribution to journalArticlepeer-review

    47 Downloads (Pure)

    Abstract

    We study the orbit behaviour of a germ of an analytic vector field of (C^n, 0), n ≥ 2. We prove that if its linear part is semisimple, non'resonant and verifies a Bruno'like condition, then the origin is effectively stable: stable for finite but exponentially long times.
    Original languageEnglish
    Pages (from-to)1-13
    Number of pages13
    JournalZeitschrift für angewandte Mathematik und Physik ZAMP
    Volume56
    Publication statusPublished - 2005

    Keywords

    • Gevrey class
    • Bruno condition
    • linearization vector field
    • Nekhoroshev theorem.
    • effective stability

    Fingerprint

    Dive into the research topics of 'Exponentially long time stability near an equilibrium point for non-linearizable analytic vector fields'. Together they form a unique fingerprint.

    Cite this