Dynamics of Coupled Oscillator Systems - Abstract
I will present analytic results on the dynamics of pulse coupled oscillators with delayed coupling. In such systems the basic and simplest regime is periodic emission of pulses, the so-called regular spiking. Due to the interaction between the units this regime may destabilize and give rise to more complex activity patterns characterized by time-varying inter-spike intervals. I will derive the conditions for the regular spiking destabilization and describe the scenarios of the complex dynamics emergence. The work is supported by the Russian Foundation for Basic Research under Project No. 17-02-00904.