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Proceedings of ECCS 2014 pp 247–258Cite as

Chimera States in Neuronal Systems of Excitability Type-I

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Abstract

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.

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Acknowledgments

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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Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623, Berlin, Germany

    Philipp Hövel, Andrea Vüllings & Iryna Omelchenko

  2. Bernstein Center for Computational Neuroscience Berlin, Humboldt-Universität zu Berlin, Philippstraße 13, 10115, Berlin, Germany

    Philipp Hövel

  3. National Center for Scientific Research “Demokritos”, 15310, Athens, Greece

    Johanne Hizanidis

  4. Crete Center for Quantum Complexity and Nanotechnology, Department of Physics, University of Crete, P.O.Box 2208, 71003, Heraklion, Greece

    Johanne Hizanidis

Authors
  1. Philipp Hövel
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  2. Andrea Vüllings
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  3. Iryna Omelchenko
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  4. Johanne Hizanidis
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Corresponding author

Correspondence to Philipp Hövel .

Editor information

Editors and Affiliations

  1. RAF, University of Zürich, Zürich, Switzerland

    Stefano Battiston

  2. CREATE-NET, Trento, Italy

    Francesco De Pellegrini

  3. IMT Lucca, Lucca, Italy

    Guido Caldarelli

  4. School of Science and Technology, University of Camerino, Camerino, Italy

    Emanuela Merelli

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Hövel, P., Vüllings, A., Omelchenko, I., Hizanidis, J. (2016). Chimera States in Neuronal Systems of Excitability Type-I. In: Battiston, S., De Pellegrini, F., Caldarelli, G., Merelli, E. (eds) Proceedings of ECCS 2014. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-319-29228-1_21

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