Symmetry and Stability of Homogenuous Flocks. A Position Paper

TL;DR

This position paper discusses fundamental questions about the symmetry and stability of homogeneous flocks, aiming to understand the algorithms behind coherent motion in biological and technological groups.

Contribution

It highlights key open questions and proposes that recent advances make solving these problems feasible from a fundamental perspective.

Findings

Identifies open problems in flock symmetry and stability

Suggests boundary leader influence in flock movement

Emphasizes the importance of algorithmic understanding

Abstract

The study of the movement of flocks, whether biological or technological is motivated by the desire to understand the capability of coherent motion of a large number of agents that only receive very limited information. In a biological flock a large group of animals seek their course while moving in a more or less fixed formation. It seems reasonable that the immediate course is determined by leaders at the boundary of the flock. The others follow: what is their algorithm? The most popular technological application consists of cars on a one-lane road. The light turns green and the lead car accelerates. What is the efficient algorithm for the others to closely follow without accidents? In this position paper we present some general questions from a more fundamental point of view. We believe that the time is right to solve many of these questions: they are within our reach.