Dynamics of Coupled Oscillator Systems - Abstract
Hesse, Janina
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Symmetry-breaking of phase susceptibility enhances synchronization in coupled neural oscillators
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authorJanina Hesse,
Jan-Hendrik Schleimer,
Susanne Schreiber,
Humboldt-Universität zu Berlin, BCCN Berlin
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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
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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.
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