Swarms on Sphere: A Programmable Swarm with Synchronous Behaviors like Oscillator Networks

@article{OlfatiSaber2006SwarmsOS,
  title={Swarms on Sphere: A Programmable Swarm with Synchronous Behaviors like Oscillator Networks},
  author={Reza Olfati-Saber},
  journal={Proceedings of the 45th IEEE Conference on Decision and Control},
  year={2006},
  pages={5060-5066}
}
In this paper, we introduce a programmable particle swarm evolving on a sphere called swarm on sphere system. This model is a polynomial dynamical system obtained from a consensus algorithm that exhibits a rich set of synchronous behaviors with close connections to the Kuramoto model of coupled oscillators, coalition formation in social networks, small-words, integer programming problems such as max-cut, and networks of self-synchronous oscillators with applications to synthetic biology. We… CONTINUE READING

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