Eur. Phys. J. Special Topics 225, 2697-2705 (2016)
https://doi.org/10.1140/epjst/e2016-60030-2

Regular Article

Synchronization conditions of coupled maps using periodicities

Instituto de Investigaciones Físicas, Casilla 8635, Universidad Mayor de San Andrés, La Paz, Bolivia

^a e-mail: rbustos@fcpn.edu.bo
^b e-mail: gramirez@ulb.ac.be

Received: 15 February 2016
Revised: 3 May 2016
Published online: 22 November 2016

Abstract

Using the synchrony factor and its periodicity, we are able to identify not only complete synchronization but also in-phase synchronization. The analysis of the periodicities of the synchrony factor allows to obtain a phase diagram that contains all the information of synchronous behavior in a wide range of parameters. This method constitutes a new and useful tool to study synchronization.