Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 19: Extreme Events

DY 19.1: Talk

Monday, March 12, 2018, 17:30–17:45, BH-N 333

Dragon-king-like extreme events in coupled bursting neurons — •Syamal Dana — Department of Mathematics, Jadavpur University, Kolkata, India

We observe dragon-king-like extreme events in two slow-fast HR bursting oscillators that are mutually communicating via three different chemical synaptic interactions, excitatory, inhibitory and a mixed type. The extreme events follow a common mechanism for all three choices of synaptic coupling: two coupled bursters emerged into antiphase synchronization (APS), either with a burst synchrony or a spiking synchrony depending upon the nature of coupling (excitatory or inhibitory). They intermittently lost stability of APS when two arbitrary spikes within the two bursting oscillations evolve into in-phase synchony. As a result, the trajectory of the error dynamics of the coupled bursters moves out of the APS manifold, which is manifested as an extreme event. Such extreme events are recurrent and outliers to a power law that is obeyed by other small to medium size events present in the dynamics and, follow the drangon-king-like distribution. This is also observed for purely diffusive and repulsive coupling in two HR neurons. We present experimental evidence of the dragon-king-like extreme events using two analog circuits of the HR model under simple linear diffusive and repulsive coupling.