A note on the determination of the type of communication areas

  • The paper presents a method that determines, by standard numerical means, the type of mutual relations of fold and flip bifurcations (configured as a so-called communication area) of a map. Equation systems are developed for the computation of points where a transition between areas of different types occurs. Furthermore, it is shown that saddle area<->spring area transitions can exist which have not yet been considered in the literature. Analytical conditions of that transition are derived.

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Metadaten
Author details:Wolfgang Jansen
URN:urn:nbn:de:kobv:517-opus-14339
Publication series (Volume number):NLD Preprints (33)
Publication type:Preprint
Language:English
Publication year:1996
Publishing institution:Universität Potsdam
Release date:2007/06/20
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Zentrale und wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum für Dynamik komplexer Systeme
DDC classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
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