Numerical-Symbolic Matlab Program for the Analysis of Three-Dimensional Chaotic Systems

Authors:
Akemi Gálvez
Affiliations:
Department of Applied Mathematics and Computational Sciences, University of Cantabria, Avda. de los Castros, s/n, E-39005, Santander, Spain
Venue:
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Year:
2007

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Abstract

In this paper, a new numerical-symbolic Matlabprogram for the analysis of three-dimensional chaotic systems is introduced. The program provides the users with a GUI (Graphical User Interface) that allows us to analyze any continuous three-dimensional system with a minimal input (the symbolic ordinary differential equations of the system along with some relevant parameters). Such an analysis can be performed either numerically (for instance, the computation of the Lyapunov exponents, the graphical representation of the attractor or the evolution of the system variables) or symbolically (for instance, the Jacobian matrix of the system or its equilibrium points). Some examples of the application of the program to analyze several chaotic systems are also given.