Flocking with General Local Interaction and Large Population

TL;DR

This paper introduces a flocking model where agents interact through a general local nonlinear function of their distances, allowing for more flexible and realistic collective behavior analysis in large populations.

Contribution

It proposes a novel flocking framework with general local nonlinear interactions, extending traditional models to more complex and realistic scenarios.

Findings

Demonstrates convergence properties of the flocking system

Provides conditions for stable flock formation

Analyzes effects of nonlinear interactions on flock dynamics

Abstract

This paper studies a flocking model in which the interaction between agents is described by a general local nonlinear function depending on the distance between agents.