Building phase synchronization equivalence between coupled bursting neurons and phase oscillators
Fabiano AS Ferrari1; Ricardo L Viana2
1 Federal University of Jequitinhonha's and Mucuri's Valleys; 2 Federal University of Parana
Resumo
Bursting neurons are characterized by an alternation of active and inactive state, in the active state they exhibit train of spikes and no response during the inactive state. When bursting neurons are coupled the beginning of their active state can synchronize depending on the coupling strength. If the coupling strength is increased above a critical coupling value, their active state show a transition from a partial synchronization, where just few neurons are synchronized, to a complete synchronization, in which all the neurons begin their active state in the same time. This transition has the same type observed in coupled phase oscillators. Adjusting the frequency distribution of the oscillators properly, it is possible to represent bursting neurons as coupled phase oscillators to describe phase synchronization.
Palavras-chave: Complex Networks; Nonlinear Systems and Neural Dynamics; Synchronization in Nonlinear Systems