Chimera States in Neuronal Systems of Excitability Type-I
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.
KeywordsPhase Velocity Coupling Strength Bifurcation Parameter Coherent Oscillator Coherent Domain
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.
- 1.Kuramoto, Y., Battogtokh, D.: Coexistence of coherence and Incoherence in nonlocally coupled phase oscillators. Nonlin. Phen. Complex Sys. 5(4), 380–385 (2002)Google Scholar
- 25.Hu, B.Y.K., Das Sarma, S.: Many-body exchange-correlation effects in the lowest subband of semiconductor quantum wires. Phys. Rev. B 48, 5469 (1993)Google Scholar