Torus bifurcations of large-scale swarms having range dependent communication delay
| Autor: | M. Ani Hsieh, Jason Hindes, Klimka Kasraie, Sayomi Kamimoto, Ioana Triandaf, Victoria Edwards, Ira B. Schwartz |
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| Rok vydání: | 2020 |
| Předmět: |
Computer science
Flocking (behavior) Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS General Physics and Astronomy Swarm behaviour FOS: Physical sciences Statistical and Nonlinear Physics Torus Topology Nonlinear Sciences - Adaptation and Self-Organizing Systems Computer Science::Multiagent Systems Adaptation and Self-Organizing Systems (nlin.AO) Mathematical Physics Bifurcation |
| DOI: | 10.48550/arxiv.2003.03591 |
| Popis: | Dynamical emergent patterns of swarms are now fairly well established in nature, and include flocking and rotational states. Recently, there has been great interest in engineering and physics to create artificial self-propelled agents that communicate over a network and operate with simple rules, with the goal of creating emergent self-organizing swarm patterns. In this paper, we show that when communicating networks have range dependent delays, rotational states which are typically periodic, undergo a bifurcation and create swarm dynamics on a torus. The observed bifurcation yields additional frequencies into the dynamics, which may lead to quasi-periodic behavior of the swarm. Comment: 7 pages 8 figures |
| Databáze: | OpenAIRE |
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