https://doi.org/10.1140/epjst/e2016-02618-7
Regular Article
Phase-lag synchronization analysis in complex systems with directed inter-relations
1 Hospital Israelita Albert Einstein, São Paulo, Brazil
2 Universidade Federal de Campina Grande, Campina Grande, Brazil
3 Bioinformatics Interunits Graduate Program, University of São Paulo, São Paulo, Brazil
4 Instituto de Física Teórica, Universidade Estadual Paulista, São Paulo, Brazil
a e-mail: birasm@gmail.com
Received: 1 October 2015
Revised: 11 January 2016
Published online: 29 February 2016
In this work, we proposed a novel way to estimate phase-lag synchronization in coupled systems. This approach was applied into two systems: a directed-coupled Rössler-Lorenz system and a network of Izhikevich neurons. For the former case, the phase-lag synchronization revealed an increase in complexity for the Lorenz subsystem components, when the coupling is activated. The opposite behavior was observed when the Izhikevich network were organized in a hierarchical way. Our results point out to emergent synchronism related to causal interactions in coupled complex systems.
© EDP Sciences, Springer-Verlag, 2016