Antonio Politi

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  Nontrivial collective dynamics in a network of pulse-coupled oscillators
  Antonio Politi
  An ensemble of mean-field coupled oscillators characterized by different frequencies can exhibit a highly complex collective dynamics. I discuss an example where the phase-response curve is derived by smoothing out the response of delayed leaky integrate-and-fire neurons. It turns out that even though the microscopic dynamics is linearly stable, the global (macroscopic) evolution is irregular (high-dimensional). This poses the question of how the two levels of description are actually connected to one another.