Torus bifurcations of large-scale swarms having range dependent communication delay

Abstract

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.

Document Details

Document Type
Pub Defense Publication
Publication Date
May 01, 2020
Source ID
10.1063/5.0006540

Entities

People

  • Ioana Triandaf
  • Ira B. Schwartz
  • Jason Hindes
  • Klimka Kasraie
  • Mongying Hsieh-Cowley
  • Sayomi Kamimoto
  • Victoria Edwards

Organizations

  • George Mason University
  • Georgia Tech
  • Office of Naval Research
  • United States Naval Research Laboratory
  • University of Pennsylvania

Tags

Readers

  • Aerospace Engineering
  • Control Systems Engineering.
  • Systems Analysis and Design