Linearizations, normalizations and isochrones of planar differential systems

Sabatini, Marco (2012) Linearizations, normalizations and isochrones of planar differential systems. Trento : Università degli Studi di Trento. Dipartimento di Matematica.

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    Abstract

    In the first section we collect some unpublished results presented in [17], related to linearizations and normalizations of planar centers. In the second section we consider both the problem of finding isochrones of isochronous systems (centers or not) and its inverse, i. e. given a family of curves filling an open set, how to construct a system having such curves as isochrones. In particular, we show that for every family of curves y = mx + d(x), m ∈ IR there exists a Lienard system having such curves as isochrones.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QA Mathematics > QA299.6 Analysis
    Uncontrolled Keywords: Linearizations, normalizations, isochrones, Lienard
    Report Number: UTM 756
    Repository staff approval on: 04 Sep 2012 11:12

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