Abstract

RAMIREZ AVILA, G. M.  and  C. GALLAS, J. A.. Characterization of dynamical systems through periodicities. Revista Boliviana de Física [online]. 2011, vol.19, n.19, pp.01-10. ISSN 1562-3823.

We characterize, by means of periodicities, some dynamical systems represented by maps. This is an alternative method to the common bifurcation diagrams computed by using the Lyapunov exponents and allows us to visualize the typical structures onto the parameter space such as the "shrimps" but in addition with the detail of the oscillatory regimes which could be important from a practical viewpoint.

Keywords : dynamical systems (nonlinear); bifurcation (nonlinear dynamics); chaos (numerical simulations); fractals (nonlinear dynamics).

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