Symbolic mathematical computing of bifurcations in dynamical systems

Issue title: Computational and Mathematical Methods for Science and Engineering Conference 2002 – CMMSE-2002

Article type: Research Article

Authors: Valverde, Jose C.^{; *} | Pelayo, Fernando L. | Martinez, Juan A. | Miralles, Juan J.

Affiliations: Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 – Albacete, Spain

Correspondence: [*] Corresponding author. E-mail: [email protected].

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.

Keywords: Computational engineering, computational mathematics, symbolic mathematical computing, bifurcations, dynamical systems, mathematica

DOI: 10.3233/JCM-2004-41-214

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 4, no. 1-2, pp. 115-123, 2004