Hybrid dynamics in delay-coupled swarms with "mothership" networks

Abstract

Swarming behavior continues to be a subject of immense interest because of its centrality in many naturally occurring systems in physics and biology, as well as its importance in applications such as robotics. Here we examine the effects on swarm pattern formation from delayed communication and topological heterogeneity, and in particular, the inclusion of a relatively small number of highly connected nodes, or "motherships", in a swarm's communication network. We find generalized forms of basic patterns for networks with general degree distributions, and a variety of new behaviors including new parameter regions with multi-stability and hybrid motions in bimodal networks. The latter is an interesting example of how heterogeneous networks can have dynamics that is a mix of different states in homogeneous networks, where high and low-degree nodes have simultaneously distinct behavior.

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Cited by in corpus (11)

• Epidemic Extinction Paths in Complex Networks
• Spontaneous velocity alignment of Brownian particles with feedback-induced propulsion
• Unstable oscillations and bistability in delay-coupled swarms
• Enhancing noise-induced switching times in systems with distributed delays
• Persistent motion of a Brownian particle subject to repulsive feedback with time delay
• Large order fluctuations, switching, and control in complex networks
• Critical transition for colliding swarms
• Stability of milling patterns in self-propelled swarms on surfaces
• Torus bifurcations of large-scale swarms having range dependent communication delay
• The Dynamics of Interacting Swarms
• Asymmetric noise-induced large fluctuations in coupled systems