%0 Journal Article
%T Chimera states in bursting neurons
%A Bidesh K. Bera
%A Dibakar Ghosh
%A M. Lakshmanan
%J Physics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1507.02371v2