Self-organized criticality and synchronization in a lattice model of integrate-and-fire oscillators

TL;DR

This paper explores how coupled lattice models of integrate-and-fire oscillators exhibit diverse behaviors, including self-organized criticality and synchronization, influenced by conservation and driving convexity.

Contribution

It introduces two coupled map lattice models with nonconservative interactions and nonlinear driving, revealing how these factors determine system dynamics.

Findings

Power-law distribution of avalanches indicating self-organized criticality

Transition to macroscopic synchronization under certain conditions

Behavior depends on conservation level and driving convexity

Abstract

We introduce two coupled map lattice models with nonconservative interactions and a continuous nonlinear driving. Depending on both the degree of conservation and the convexity of the driving we find different behaviors, ranging from self-organized criticality, in the sense that the distribution of events (avalanches) obeys a power law, to a macroscopic synchronization of the population of oscillators, with avalanches of the size of the system.