Stabilizing synchrony by inhomogeneity.
We show that for two weakly coupled identical neuronal oscillators with strictly positive phase resetting curve, isochronous synchrony can only be seen in the absence of noise and an arbitrarily weak noise can destroy entrainment and generate intermittent phase slips. Small inhomogeneity-mismatch in the intrinsic firing rate of the neurons-can stabilize the phase locking and lead to more precise relative spike timing of the two neurons. The results can explain how for a class of neuronal models, including leaky integrate-fire model, inhomogeneity can increase correlation of spike trains when the neurons are synaptically connected.
Institute for Advanced Studies in Basic Sciences, Department of physics, Zanjan, 45137-66731, Iran.|Institute for Research in Fundamental Sciences, School of Cognitive Sciences, Niavaran, Tehran, 19857, Iran.
Ehsan
E
Bolhasani
Institute for Advanced Studies in Basic Sciences, Department of physics, Zanjan, 45137-66731, Iran.|Institute for Research in Fundamental Sciences, School of Cognitive Sciences, Niavaran, Tehran, 19857, Iran.
Alireza
A
Valizadeh
D000200:Action Potentials / Q000502:physiology*; D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D003344:Cortical Synchronization / Q000502:physiology*; D006801:Humans; D008959:Models, Neurological; D015233:Models, Statistical; D009415:Nerve Net / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D009435:Synaptic Transmission / Q000502:physiology