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.

Download full text files

Export metadata

  • Export Bibtex
  • Export RIS
  • Export XML

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Wolfgang Jansen
URN:urn:nbn:de:kobv:517-opus-14339
Series (Serial Number):NLD Preprints (paper 033)
Document Type:Preprint
Language:English
Date of Publication (online):2007/06/20
Year of Completion:1996
Publishing Institution:Universität Potsdam
Release Date:2007/06/20
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum Dynamik komplexer Systeme
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik