Chimera States in Neuronal Systems of Excitability Type-I

  • Philipp HövelEmail author
  • Andrea Vüllings
  • Iryna Omelchenko
  • Johanne Hizanidis
Conference paper
Part of the Springer Proceedings in Complexity book series (SPCOM)


Chimera states is a fascinating phenomenon of coexisting synchronized and desynchronized behavior discovered in networks of nonlocally coupled identical phase oscillators. In this work, we consider a generic model for a saddle-node bifurcation on a limit cycle representative for neuron excitability type-I. It is given by N nonlocally coupled SNIPER oscillators in the oscillatory regime arranged on a ring. Depending on the system parameters we obtain chimera states with multiple coherent regions (clustered chimeras), coexisting traveling waves, and we observe a flip in the mean phase velocities of the coherent and incoherent regions.


Phase Velocity Coupling Strength Bifurcation Parameter Coherent Oscillator Coherent Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



We thank A. Provata and E. Schöll for stimulating discussions. This work was supported by the German Academic Exchange Service DAAD and the Greek State Scholarship Foundation IKY within the PPP-IKYDA framework. IO and PH acknowledge support by BMBF (grant no. 01Q1001B) in the framework of BCCN Berlin (Project A13). PH, AV, and IO acknowledge support by DFG in the framework of the Collaborative Research Center 910. The research work was partially supported by the European Union’s Seventh Framework Program (FP7-REGPOT-2012-2013-1) under grant agreement n316165.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Philipp Hövel
    • 1
    • 2
    Email author
  • Andrea Vüllings
    • 1
  • Iryna Omelchenko
    • 1
  • Johanne Hizanidis
    • 3
    • 4
  1. 1.Institut für Theoretische Physik, Technische Universität BerlinBerlinGermany
  2. 2.Bernstein Center for Computational Neuroscience Berlin, Humboldt-Universität zu BerlinBerlinGermany
  3. 3.National Center for Scientific Research “Demokritos”AthensGreece
  4. 4.Crete Center for Quantum Complexity and Nanotechnology, Department of PhysicsUniversity of CreteHeraklionGreece

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