Dynamics of Coupled Oscillator Systems - Abstract

Hesse, Janina

Symmetry-breaking of phase susceptibility enhances synchronization in coupled neural oscillators

documentclass[10pt]article title Symmetry-breaking of phase susceptibility enhances synchronization in coupled neural oscillators
date authorJanina Hesse, Jan-Hendrik Schleimer, Susanne Schreiber,
Humboldt-Universität zu Berlin, BCCN Berlin begindocument maketitle We investigate the ability of coupled oscillator systems to dynamically synchronize and desynchronize depending on single-unit properties. Our focus lies on the nervous system, where synchronization can have both negative and positive effects, from memory networks to pathophysiology citememsync, uhlhaas2006. A large set of neuron models (called type I) switch their spike onset bifurcation from a SNIC bifurcation to a HOMoclinic orbit bifurcation in response to an increase in temperature. This happens at the codimension-2 saddle-node loop (SNL) bifurcation citehesse_qualitative_2017. The present work shows that the SNL bifurcation induces a symmetry breaking in the phase susceptibility of a single neuron with drastic consequences for network dynamics. Around the bifurcation, even small variations in relevant parameters substantially change the neuron's synchronization ability. Network simulations with inhibitory coupling lead to an increase in classical in-phase synchronization when passing the SNL point. A population of conductance-based neuron models, when weakly coupled with excitatory synapses, increases in phase synchronization. In this case, the network enters a splay state, where the different neurons' phases are equally distributed. In summary, internal, single cell parameters can substantially change network properties. bibliographystylealpha beginthebibliography bibitemmemsync N. Axmacher, F. Mormann, G. Fernández, C. E. Elger, and J. Fell. newblock Memory formation by neuronal synchronization, em Brain Research Reviews 52 pp. 170-182, 2006. bibitemuhlhaas2006 P. J. Uhlhaas, and W. Singer. newblock Neural Synchrony in Brain Disorders: Relevance for Cognitive Dysfunctions and Pathophysiology, em Neuron, 52 (1), pp. 155-168, 2006. bibitemhesse_qualitative_2017 J. Hesse, J.-H. Schleimer, and S. Schreiber. newblock Qualitative changes in phase-response curve and synchronization at the saddle-node loop bifurcation, em Physical Reviews E, 95(5):052203, 2018. endthebibliography enddocument