title: Phase Response Synchronization in Neuronal Population with Time-Varying Coupling Strength.
abstract: We present the dynamic model of global coupled neuronal population subject to external stimulus by the use of phase sensitivity function. We investigate the effect of time-varying coupling strength on the synchronized phase response of neural population subjected to external harmonic stimulus. For a time-periodic coupling strength, we found that the stimulus with increasing intensity or frequency can reinforce the phase response synchronization in neuronal population of the weakly coupled neural oscillators, and the neuronal population with stronger coupling strength has good adaptability to stimulus. When we consider the dynamics of coupling strength, we found that a strong stimulus can quickly cause the synchronization in the neuronal population, the degree of synchronization grows with the increasing stimulus intensity, and the period of synchronized oscillation induced by external stimulation is related to stimulus frequency.
authors.affiliation: School of Mathematics, Hefei University of Technology, Hefei 230009, China.
authors.forename: Xianfa
authors.initials: X
authors.lastname: Jiao
authors.affiliation: School of Mathematics, Hefei University of Technology, Hefei 230009, China.
authors.forename: Wanyu
authors.initials: W
authors.lastname: Zhao
authors.affiliation: Department of Mathematics, Southeast University, Nanjing 210096, China ; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
authors.forename: Jinde
authors.initials: J
authors.lastname: Cao
mesh_terms: D000200:Action Potentials / Q000502:physiology; D000818:Animals; D019295:Computational Biology; D003198:Computer Simulation; D006801:Humans; D008959:Models, Neurological; D009474:Neurons / Q000166:cytology / Q000502:physiology*; D009435:Synaptic Transmission / Q000502:physiology