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Retardation between sensation and action is an inherent biological trait. Here we study its effect in the Vicsek model, which is a paradigmatic swarm model. We find that: (i) a discrete time delay in the orientational interactions…

Soft Condensed Matter · Physics 2022-11-28 Daniel Geiß , Klaus Kroy , Viktor Holubec

Living many-body systems often exhibit scale-free collective behavior reminiscent of thermal critical phenomena. But their mutual interactions are inevitably retarded due to information processing and delayed actuation. We numerically…

Soft Condensed Matter · Physics 2021-12-16 Viktor Holubec , Daniel Geiss , Sarah A. M. Loos , Klaus Kroy , Frank Cichos

Collective motions emerging from the interaction of autonomous mobile individuals play a key role in many phenomena, from the growth of bacterial colonies to the coordination of robotic swarms. For these collective behaviours to take hold,…

Biological Physics · Physics 2016-02-03 Mite Mijalkov , Austin McDaniel , Jan Wehr , Giovanni Volpe

We study the role of delay in phase synchronization and phenomena responsible for cluster formation in delayed coupled maps on various networks. Using numerical simulations, we demonstrate that the presence of delay may change the mechanism…

Chaotic Dynamics · Physics 2015-03-20 Aradhana Singh , Sarika Jalan , Jürgen Kurths

Swarms are self-organized dynamical coupled agents which evolve from simple rules of communication. They are ubiquitous in nature, and be- coming more prominent in defense applications. Here we report on a preliminary study of swarm…

Adaptation and Self-Organizing Systems · Physics 2018-03-26 Carl Kolon , Ira B. Schwartz

We investigate consensus formation and flocking behavior in multi-agent systems subject to two distinct types of delays: a transmission delay accounting for information exchange between agents, and a reaction delay representing the…

Dynamical Systems · Mathematics 2026-04-22 Elisa Continelli , Jan Haskovec , Cristina Pignotti

We consider a general swarm model of self-propelling agents interacting through a pairwise potential in the presence of noise and communication time delay. Previous work [Phys. Rev. E 77, 035203(R) (2008)] has shown that a communication…

Adaptation and Self-Organizing Systems · Physics 2012-05-02 Luis Mier-y-Teran-Romero , Eric Forgoston , Ira B. Schwartz

Collective behavior in biological systems was first captured by the Vicsek model, in which particles align their velocities in the average direction of neighbors, leading to coherent motion and showing an order-disorder transition. However,…

Soft Condensed Matter · Physics 2026-02-26 Mohit Gaur , Arnab Saha , Subhajit Paul

Interactions in active matter systems inherently involve delays due to information processing and actuation lags. We numerically investigate the impact of such delays on the phase behavior of the Vicsek model for motile active matter at a…

Soft Condensed Matter · Physics 2025-08-08 Robert Horton , Viktor Holubec

We investigate the effect of turning delays on the behaviour of groups of differential wheeled robots and show that the group-level behaviour can be described by a transport equation with a suitably incorporated delay. The results of our…

Robotics · Computer Science 2014-10-02 Jake P. Taylor-King , Benjamin Franz , Christian A. Yates , Radek Erban

It is known from both theory and experiments that introducing time delays into the communication network of mobile-agent swarms produces coherent rotational patterns. Often such spatio-temporal rotations can be bistable with other swarming…

Adaptation and Self-Organizing Systems · Physics 2020-04-15 Jason Hindes , Victoria Edwards , Sayomi Kamimoto , Ioana Triandaf , Ira B. Schwartz

The formation of coherent patterns in swarms of interacting self-propelled autonomous agents is a subject of great interest in a wide range of application areas, ranging from engineering and physics to biology. In this paper, we model and…

Adaptation and Self-Organizing Systems · Physics 2016-03-23 Klementyna Szwaykowska , Ira B. Schwartz , Luis Mier-y-Teran Romero , Christoffer R. Heckman , Dan Mox , M. Ani Hsieh

Communication delays and multiplexing are ubiquitous features of real-world networked systems. We here introduce a simple model where these two features are simultaneously present, and report the rich phe- nomenology which is actually due…

Chaotic Dynamics · Physics 2017-04-19 Aradhana Singh , Sarika Jalan , Stefano Boccaletti

We study a model of binary decisions in a fully connected network of interacting agents. Individual decisions are determined by social influence, coming from direct interactions with neighbours, and a group level pressure that accounts for…

Probability · Mathematics 2021-10-27 Michele Aleandri , Ida Germana Minelli

Previously we showed how delay communication between globally coupled self-propelled agents causes new spatio-temporal patterns to arise when the delay coupling is fixed among all agents \cite{Forgoston08}. In this paper, we show how…

Pattern Formation and Solitons · Physics 2012-04-23 Brandon Lindley , Luis Mier-y-Teran-Romero , Ira B. Schwartz

Swarm and modular robotics are an emerging area in control of autonomous systems. However, coordinating a large group of interacting autonomous agents requires careful consideration of the logistical issues involved. In particular,…

Pattern Formation and Solitons · Physics 2015-07-15 K. Szwaykowska , L. Mier-y-Teran-Romero , I. B. Schwartz

Fish, birds, insects and robots frequently swim or fly in groups. During their 3 dimensional collective motion, these agents do not stop, they avoid collisions by strong short-range repulsion, and achieve group cohesion by weak long-range…

Soft Condensed Matter · Physics 2018-07-04 Illes J. Farkas , Shuo-Hong Wang

The presence of a delay between sensing and reacting to a signal can determine the long-term behavior of autonomous agents whose motion is intrinsically noisy. In a previous work [M. Mijalkov, A. McDaniel, J. Wehr, and G. Volpe, Phys. Rev.…

Biological Physics · Physics 2018-11-21 Maximilian Leyman , Freddie Ogemark , Jan Wehr , Giovanni Volpe

We study the effects of noise on the dynamics of a system of coupled self-propelling particles in the case where the coupling is time-delayed, and the delays are discrete and randomly generated. Previous work has demonstrated that the…

Pattern Formation and Solitons · Physics 2012-10-08 Brandon Lindley , Luis Mier-y-Teran-Romero , Ira B. Schwartz

We consider flocking of self-propelling agents in two dimensions, each of which communicates with its neighbors within a limited vision cone. Also, the communication occurs with some delay. The communication among the agents are modeled by…

Soft Condensed Matter · Physics 2018-03-13 Mihir Durve , Arnab Saha , Ahmed Sayeed
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