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This paper presents a unified mathematical theory of swarms where the dynamics of social behaviors interacts with the mechanical dynamics of self-propelled particles. The term behavioral swarms is introduced to characterize the specific…

Adaptation and Self-Organizing Systems · Physics 2020-06-24 Nicola Bellomo , Seung-Yeal Ha , Nisrine Outada

Collective control of mobile microrobotic swarms is indispensable for their potential high-impact applications in targeted drug delivery, medical diagnostics, parallel micromanipulation, and environmental sensing and remediation. Lack of…

Soft Condensed Matter · Physics 2018-07-26 Berk Yigit , Yunus Alapan , Metin Sitti

Swarm behaviour engineering is an area of research that seeks to investigate methods and techniques for coordinating computation and action within groups of simple agents to achieve complex global goals like pattern formation, collective…

Artificial Intelligence · Computer Science 2025-08-13 Gianluca Aguzzi , Roberto Casadei , Mirko Viroli

We present a strategy capable of describing basic features of the dynamics of crowds. The behaviour of the crowd is considered from a twofold perspective. We examine both the large scale behaviour of the crowd, and phenomena happening at…

Mathematical Physics · Physics 2011-08-09 Joep Evers

We introduce a minimal model of multilevel selection on structured populations, considering the interplay between game theory and population dynamics. Through a bottleneck process, finite groups are formed with cooperators and defectors…

Populations and Evolution · Quantitative Biology 2023-10-02 Jeferson J. Arenzon , Luca Peliti

We investigate various versions of multi-dimensional systems involving many species, modeling aggregation phenomena through nonlocal interaction terms. We establish a rigorous connection between kinetic and macroscopic descriptions by…

Analysis of PDEs · Mathematics 2024-02-06 Young-Pil Choi , Simone Fagioli , Valeria Iorio

From the formation of animal flocks to the emergence of coordinate motion in bacterial swarms, at all scales populations of motile organisms display coherent collective motion. This consistent behavior strongly contrasts with the difference…

Soft Condensed Matter · Physics 2013-11-11 Antoine Bricard , Jean-Baptiste Caussin , Nicolas Desreumaux , Olivier Dauchot , Denis Bartolo

Classical swarm models, exemplified by the Cucker--Smale framework, provide foundational insights into collective alignment but exhibit fundamental limitations in capturing the adaptive, heterogeneous behaviours intrinsic to living systems.…

Adaptation and Self-Organizing Systems · Physics 2025-09-08 Rene Fabregas , Jie Liao , Nisrine Outada

For robots to be a part of our daily life, they need to be able to navigate among crowds not only safely but also in a socially compliant fashion. This is a challenging problem because humans tend to navigate by implicitly cooperating with…

Robotics · Computer Science 2017-05-18 Anirudh Vemula , Katharina Muelling , Jean Oh

Classical flocking models demonstrate how local interactions generate emergent order, but real-world multi-agent deployments are bound by severe constraints: limited actuator availability, heterogeneous communication latencies, and…

Optimization and Control · Mathematics 2026-05-04 Jiguang Yu

Understanding the mechanisms behind emergent behaviors in multi-agent systems is critical for advancing fields such as swarm robotics and artificial intelligence. In this study, we investigate how neural networks evolve to control agents'…

Adaptation and Self-Organizing Systems · Physics 2024-10-28 Guilherme S. Y. Giardini , John F. Hardy , Carlo R. da Cunha

The collective behavior of swarms is extremely difficult to estimate or predict, even when the local agent rules are known and simple. The presented work seeks to leverage the similarities between fluids and swarm systems to generate a…

Adaptation and Self-Organizing Systems · Physics 2023-08-30 Hossein Haeri , Kshitij Jerath , Jacob Leachman

A leader-follower framework is proposed for multi-robot navigation of large scale teams where the leader agents corral the follower agents. A group of leaders is modeled as a 2D deformable object where discrete masses (i.e., leader robots)…

Robotics · Computer Science 2021-03-11 Xiaotian Xu , Yancy Diaz-Mercado

Mathematical models for systems of interacting agents using simple local rules have been proposed and shown to exhibit emergent swarming behavior. Most of these models are constructed by intuition or manual observations of real phenomena,…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 Graciano Dieck Kattas , Xiao-ke Xu , Michael Small

Collective motion is a fundamental phenomenon in biological swarms. As a framework for studying synchronization in motions, the Vicsek model is simple and efficient, assuming isotropic interactions with a complete field of view. Drawing…

Physics and Society · Physics 2025-12-23 Haoshuai Wang , Zhaoqi Dong , Lei Chen

We consider the problem of modeling, estimating, and controlling the latent state of a spatiotemporally evolving continuous function using very few sensor measurements and actuator locations. Our solution to the problem consists of two…

Systems and Control · Computer Science 2015-08-11 Hassan A. Kingravi , Harshal Maske , Girish Chowdhary

We present a set of metrics intended to supplement designer intuitions when designing swarm-robotic systems, increase accuracy in extrapolating swarm behavior from algorithmic descriptions and small test experiments, and lead to faster and…

Robotics · Computer Science 2021-10-26 John Harwell , Maria Gini

Swarm systems consist of large numbers of robots that collaborate autonomously. With an appropriate level of human control, swarm systems could be applied in a variety of contexts ranging from search-and-rescue situations to Cyber defence.…

Human-Computer Interaction · Computer Science 2018-03-09 Aya Hussein , Leo Ghignone , Tung Nguyen , Nima Salimi , Hung Nguyen , Min Wang , Hussein A. Abbass

In this paper we extend the investigation of cooperation in some classical evolutionary games on populations were the network of interactions among individuals is of the scale-free type. We show that the update rule, the payoff computation…

Physics and Society · Physics 2009-11-13 M. Tomassini , L. Luthi , E. Pestelacci

Populations of mobile and communicating agents describe a vast array of technological and natural systems, ranging from sensor networks to animal groups. Here, we investigate how a group-level agreement may emerge in the continuously…

Physics and Society · Physics 2012-01-25 Andrea Baronchelli , Albert Diaz-Guilera