The European Physical Journal Special Topics

, Volume 222, Issue 10, pp 2407–2416 | Cite as

From complete to modulated synchrony in networks of identical Hindmarsh-Rose neurons

  • Sebastian Ehrich
  • Arkady Pikovsky
  • Michael RosenblumEmail author
Regular Article Nonlinear Dynamics and Synchronization


In most cases tendency to synchrony in networks of oscillatory units increases with the coupling strength. Using the popular Hindmarsh-Rose neuronal model, we demonstrate that even for identical neurons and simple coupling the dynamics can be more complicated. Our numerical analysis for globally coupled systems and oscillator lattices reveals a new scenario of synchrony breaking with the increase of coupling, resulting in a quasiperiodic, modulated synchronous state.


Coupling Strength European Physical Journal Special Topic Floquet Multiplier Synchronous State Complex Multiplier 
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Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  • Sebastian Ehrich
    • 1
  • Arkady Pikovsky
    • 1
  • Michael Rosenblum
    • 1
    Email author
  1. 1.Institute of Physics and Astronomy, University of PotsdamPotsdam-GolmGermany

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