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arXiv · 1507.02371

Chimera states in bursting neurons

Bidesh K. Bera·Dibakar Ghosh·M. Lakshmanan
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Abstract

We study the existence of chimera states in pulse-coupled networks of bursting Hindmarsh-Rose neurons with nonlocal, global and local (nearest neighbor) couplings. Through a linear stability analysis, we discuss the behavior of stability function in the incoherent (i.e. disorder), coherent, chimera and multi-chimera states. Surprisingly, we find that chimera and multi-chimera states occur even using local nearest neighbor interaction in a network of identical bursting neurons alone. This is in contrast with the existence of chimera states in populations of nonlocally or globally coupled oscillators. A chemical synaptic coupling function is used which plays a key role in the emergence of chimera states in bursting neurons. Existence of chimera, multi-chimera, coherent and disordered states are confirmed by means of the recently introduced statistical measures and mean phase velocity.

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Bidesh K. Bera, Dibakar Ghosh, M. Lakshmanan. 2015-12-08. Chimera states in bursting neurons. https://doi.org/10.1103/physreve.93.012205

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