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arXiv · 2306.00994

The chaotic milling behaviors of interacting swarms after collision

Sayomi Kamimoto·Jason Hindes·Ira Schwartz
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Abstract

We consider the problem of characterizing the dynamics of interacting swarms after they collide and form a stationary center of mass. Modeling efforts have shown that the collision of near head-on interacting swarms can produce a variety of post-collision dynamics including coherent milling, coherent flocking, and scattering behaviors. In particular, recent analysis of the transient dynamics of two colliding swarms has revealed the existence of a critical transition whereby the collision results in a combined milling state about a stationary center of mass. In the present work we show that the collision dynamics of two swarms that form a milling state transitions from periodic to chaotic motion as a function of the repulsive force strength and its length scale. We used two existing methods as well as one new technique: Karhunen-Loeve decomposition to show the effective modal dimension chaos lives in, the 0-1 test to identify chaos, and then Constrained Correlation Embedding to show how each swarm is embedded in the other when both swarms combine to form a single milling state after collision. We expect our analysis to impact new swarm experiments which examine the interaction of multiple swarms.

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Sayomi Kamimoto, Jason Hindes, Ira Schwartz. 2023-05-24. The chaotic milling behaviors of interacting swarms after collision. https://arxiv.org/abs/2306.00994

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