Synchronization of moving integrate and fire oscillators

TL;DR

This paper introduces a model of moving integrate-and-fire oscillators on a plane, analyzing how their velocity and interaction range influence synchronization regimes, characterized by novel parameters like contact accumulation.

Contribution

It presents a new model combining movement and firing dynamics, exploring different synchronization regimes through a phase diagram and novel contact-based parameters.

Findings

Different regimes identified based on velocity and interaction range.

Phase diagram illustrating regime transitions.

Novel parameters quantify contact accumulation during synchronization.

Abstract

We present a model of integrate and fire oscillators that move on a plane. The phase of the oscillators evolves linearly in time and when it reaches a threshold value they fire choosing their neighbors according to a certain interaction range. Depending on the velocity of the ballistic motion and the average number of neighbors each oscillator fires to, we identify different regimes shown in a phase diagram. We characterize these regimes by means of novel parameters as the accumulated number of contacted neighbors.