publication . Article . Preprint . Other literature type . 2015

Chimera states in bursting neurons

Bidesh K. Bera; Dibakar Ghosh; M. Lakshmanan;
Open Access
  • Published: 09 Jul 2015 Journal: Physical Review E, volume 93 (issn: 2470-0045, eissn: 2470-0053, Copyright policy)
  • Publisher: American Physical Society (APS)
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...
Persistent Identifiers
arXiv: Quantitative Biology::Neurons and CognitionNonlinear Sciences::Pattern Formation and SolitonsNonlinear Sciences::Adaptation and Self-Organizing SystemsNonlinear Sciences::Cellular Automata and Lattice Gases
Medical Subject Headings: fungi
free text keywords: Nonlinear Sciences - Chaotic Dynamics, Phase velocity, Atomic physics, Bursting, k-nearest neighbors algorithm, Linear stability analysis, Physics, Oscillation, Synaptic coupling, Quantum mechanics, Chimera (genetics), Coupling
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