Symbolic mathematical computing of bifurcations in dynamical systems

  • Authors:

  • Jose C. Valverde;Fernando L. Pelayo;Juan A. Martinez;Juan J. Miralles

  • Affiliations:

  • (Corresponding author. E-mail: valverde@pol-ab.uclm.es) Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 - Albacete, Spain;Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 - Albacete, Spain;Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 - Albacete, Spain;Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 - Albacete, Spain

  • Venue:
  • Journal of Computational Methods in Sciences and Engineering - Computational and Mathematical Methods for Science and Engineering Conference 2002 - CMMSE-2002
  • Year:
  • 2004

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Abstract

In this paper we present a specific software package to bifurcation analysis. Specifically for locating fixed points of maps defined on R and their variation with respect to parameters. Also this program allows both detecting and analyzing bifurcations under higher order conditions. We deal mainly with discrete-time systems and give only brief remarks on the continuous time case.