title: Comparison of single neuron models in terms of synchronization propensity.
abstract: A plausible model for coherent perception is the synchronization of chaotically distributed neural spike trains over wide cortical areas. A recently introduced propensity criterion provides a tool for a quantitative comparison of different neuron models in terms of their ability to synchronize to an applied perturbation. We explore the propensity of several systems and indicate the requirements to be satisfied by a plausible candidate for modeling neuronal activity. Our results show that the conflicting requirements of stability and sensitivity leading to high propensity to synchronization can be satisfied by a strongly nonuniform attractor made of two distinct regions: a saddle focus plus a sufficiently separated saddle node.
authors.affiliation: California Polytechnic State University, San Luis Obispo, California 93407, USA.
authors.forename: N
authors.initials: N
authors.lastname: Sungar
authors.forename: E
authors.initials: E
authors.lastname: Allaria
authors.forename: I
authors.initials: I
authors.lastname: Leyva
authors.forename: F T
authors.initials: FT
authors.lastname: Arecchi
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D001921:Brain / Q000502:physiology*; D003198:Computer Simulation; D006801:Humans; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D009435:Synaptic Transmission / Q000502:physiology*