https://doi.org/10.1140/epjst/e2016-60033-5
Review
Unraveling the primary mechanisms leading to synchronization response in dissimilar oscillators
1 Instituto de Investigaciones Físicas, Casilla 8635 Universidad Mayor de San Andrés, La Paz, Bolivia
2 Institut für Physik, Humboldt-Universität zu Berlin, Robert-Koch-Platz 4, 10115, Berlin, Germany
3 Potsdam Institut für Klimafolgenforschung, PO Box 60 12 03, 14412 Potsdam, Germany
4 Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3FX, UK
5 Department of Control Theory, Nizhny Novgorod State University, 606950 Nizhny Novgorod, Russia
a e-mail: gramirez@ulb.ac.be
Received: 19 February 2016
Revised: 15 June 2016
Published online: 22 November 2016
We study how the phenomenon of response to synchronization arises in sets of pulse-coupled dissimilar oscillators. One of the sets is constituted by oscillators that can easily synchronize. Conversely, the oscillators of the other set do not synchronize. When the elements of the first set are not synchronized, they induce oscillation death in the constituents of the second set. By contrast, when synchronization is achieved in oscillators of the first set, those of the second set recover their oscillatory behavior and thus, responding to synchronization. Additionally, we found another interesting phenomenon in this type of systems, namely, a new control of simultaneous firings in a population of similar oscillators attained by means of the action of a dissimilar oscillator.
© EDP Sciences, Springer-Verlag, 2016
