The European Physical Journal Special Topics

, Volume 225, Issue 13, pp 2487–2506

Unraveling the primary mechanisms leading to synchronization response in dissimilar oscillators

  • Gonzalo Marcelo Ramírez-Ávila
  • Jürgen Kurths
Review Review articles

DOI: 10.1140/epjst/e2016-60033-5

Cite this article as:
Ramírez-Ávila, G.M. & Kurths, J. Eur. Phys. J. Spec. Top. (2016) 225: 2487. doi:10.1140/epjst/e2016-60033-5
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Part of the following topical collections:
  1. Temporal and Spatio-Temporal Dynamic Instabilities: Novel Computational and Experimental Approaches

Abstract

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.

Copyright information

© EDP Sciences and Springer 2016

Authors and Affiliations

  • Gonzalo Marcelo Ramírez-Ávila
    • 1
  • Jürgen Kurths
    • 2
    • 3
    • 4
    • 5
  1. 1.Instituto de Investigaciones Físicas, Casilla 8635 Universidad Mayor de San AndrésLa PazBolivia
  2. 2.Institut für Physik, Humboldt-Universität zu BerlinBerlinGermany
  3. 3.Potsdam Institut für KlimafolgenforschungPotsdamGermany
  4. 4.Institute for Complex Systems and Mathematical Biology, University of AberdeenAberdeen AB24 3FXUK
  5. 5.Department of Control TheoryNizhny Novgorod State UniversityNizhny NovgorodRussia

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