The Spatiality of Swarms - Quantitative Analysis of Dynamic Interaction Networks
نویسندگان
چکیده
Many mathematical models, which try to capture emergent phenomena, are based on state transitions that depend on neighborhood relationships. Cellular Automata (CA) and Random Boolean Networks (RBN) are examples of such models, where connectivity patterns determine the flow of signals among interconnected units. Whereas neighborhoods in CA and RBNs remain static, the focus of our investigations are artificial swarms that act in three-dimensional space, where neighborhood relationships among the swarming agents change over time. In fact, it is through the dynamically changing neighbors that determine a swarm system’s overall behavior. In this paper we explore neighborhood dynamics of swarms and ask the question how each agents’ time-dependent perception of its neighbors relates to specific flocking formations. We give examples of ‘neighborhood functions’ for choreographed swarming behaviors, such as line and figure-eight formations. We also evolve control parameters for swarm agents such that they approximate specific neighborhood functions that trigger switching and oscillations.
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