VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Wandering domains arising from Lavaurs maps with Siegel disks
    Astorg, Matthieu ; Boc Thaler, Luka ; Peters, Han
    The first example of polynomial maps with wandering domains was constructed in 2016 by the first and last authors, together with Buff, Dujardin and Raissy. In this paper, we construct a second ... example with different dynamics, using a Lavaurs map with a Siegel disk instead of an attracting fixed point. We prove a general necessary and sufficient condition for the existence of a trapping domain for nonautonomous compositions of maps converging parabolically towards a Siegel-type limit map. Constructing a skew-product satisfying this condition requires precise estimates on the convergence to the Lavaurs map, which we obtain by a new approach. We also give a self-contained construction of parabolic curves, which are integral to this new method.
    Vir: Analysis & PDE. - ISSN 2157-5045 (Vol. 16, no. 1, 2023, str. 35-88)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2023
    Jezik - angleški
    COBISS.SI-ID - 150202115

    Povezava(-e):

    https://msp.org/apde/2023/16-1/p02.xhtml
    DiRROS - Digitalni repozitorij raziskovalnih organizacij Slovenije
    DOI

vir: Analysis & PDE. - ISSN 2157-5045 (Vol. 16, no. 1, 2023, str. 35-88)
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