Analysis of periodicity solutions in discrete cobweb model

  • Authors:

  • Andrej Škraba;Davorin Kofjač;Matevž Bren;Mico Mrkaic

  • Affiliations:

  • University of Maribor, Faculty of Organizational Sciences, Kranj, Slovenia;University of Maribor, Faculty of Organizational Sciences, Kranj, Slovenia;University of Maribor, Faculty of Organizational Sciences, Kranj, Slovenia;University of Maribor, Faculty of Organizational Sciences, Kranj, Slovenia

  • Venue:
  • NOLASC'05 Proceedings of the 4th WSEAS International Conference on Non-linear Analysis, Non-linear Systems and Chaos
  • Year:
  • 2005

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Abstract

Periodicity of the solution of the 2-d discrete map of the anticipative cobweb has been studied in detail. The periodic conditions of the model has been analytically determined by the application of z-transform. Specification of the periodicity regions according to the standard characteristic equations has been stated. The Farey tree sequence has been applied at the change of discrete map parameter. Initial linear 2-d discrete map has been changed with the nonlinear rule. Gained periodicity conditions for initial map have been considered in the nonlinear case. The periodicity conditions of the initial map have been preserved in the nonlinear case.