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We present the relativistic analogue of the Cucker-Smale model with a bonding force on Riemannian manifold, and study its emergent dynamics. The Cucker-Smale model serves a prototype example of mechanical flocking models, and it has been…

Dynamical Systems · Mathematics 2023-01-19 Hyunjin Ahn , Junhyeok Byeon , Seung-Yeal Ha , Jaeyoung Yoon

A Collision-Avoiding flocking particle system proposed in [8] is studied in this paper. The global wellposedness of its corresponding Vlasov-type kinetic equation is proved. As a corollary of the global stability result, the mean field…

Mathematical Physics · Physics 2013-11-15 Rong Yang , Li Chen

Flocking phase transitions found in models of polar active matter are paradigmatic examples of active phase transitions in soft matter. An interesting specialization of flocking models concerns a ``topological'' vs ``metric'' choice by…

Soft Condensed Matter · Physics 2024-09-10 Charles R. Packard , Daniel M. Sussman

Numerical models indicate that collective animal behaviour may emerge from simple local rules of interaction among the individuals. However, very little is known about the nature of such interaction, so that models and theories mostly rely…

Populations and Evolution · Quantitative Biology 2009-11-13 M. Ballerini , N. Cabibbo , R. Candelier , A. Cavagna , E. Cisbani , I. Giardina , V. Lecomte , A. Orlandi , G. Parisi , A. Procaccini , M. Viale , V. Zdravkovic

Social organisms which construct nests consisting of tunnels and chambers necessarily navigate confined and crowded conditions. Unlike low-density collectives like bird flocks and insect swarms, in which hydrodynamic and statistical…

A population of heterogenous agents compeeting through a minority rule is investigated. Agents which frequently loose are selected for evolution by changing their strategies. The stationary composition of the population resulting for this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alexei Vazquez

An evolving population, in which individual members (`agents') adapt their behaviour according to past experience, is of central importance to many disciplines. Because of their limited knowledge and capabilities, agents are forced to make…

Condensed Matter · Physics 2009-10-31 Neil F. Johnson , Pak Ming Hui , Rob Jonson , Ting Shek Lo

Theoretical models of populations and swarms typically start with the assumption that the motion of agents is governed by the local stimuli. However, an intelligent agent, with some understanding of the laws that govern its habitat, can…

Adaptation and Self-Organizing Systems · Physics 2018-02-07 Nathaniel Rupprecht , Dervis Can Vural

The study of the movement of flocks, whether biological or technological is motivated by the desire to understand the capability of coherent motion of a large number of agents that only receive very limited information. In a biological…

Systems and Control · Computer Science 2018-10-30 J. J. P. Veerman

Autonomous navigation in crowded environments is an open problem with many applications, essential for the coexistence of robots and humans in the smart cities of the future. In recent years, deep reinforcement learning approaches have…

Robotics · Computer Science 2025-03-25 Diego Martinez-Baselga , Luis Riazuelo , Luis Montano

We study the collective dynamics of a lattice model of stochastically interacting agents with a weighted field of vision. We assume that agents preferentially interact with neighbours, depending on their relative location, through velocity…

Statistical Mechanics · Physics 2024-06-11 Shakti N. Menon , Trilochan Bagarti , Abhijit Chakraborty

This work proposes a novel cooperative transportation framework for multi-agent systems that does not require any prior knowledge of cargo locations or sizes. Each agent relies on local sensing to detect cargos, recruit nearby agents, and…

Systems and Control · Electrical Eng. & Systems 2026-03-30 Jie Song , Yang Bai , Naoki Wakamiya

The study of robotic flocking has received considerable attention in the past twenty years. As we begin to deploy flocking control algorithms on physical multi-agent and swarm systems, there is an increasing necessity for rigorous promises…

Multiagent Systems · Computer Science 2021-05-11 Logan E. Beaver , Andreas A. Malikopoulos

Collective sensing is an emergent phenomenon which enables individuals to estimate a hidden property of the environment through the observation of social interactions. Previous work on collective sensing shows that gregarious individuals…

Populations and Evolution · Quantitative Biology 2018-05-24 Stefano Bennati

The aim of the present paper is to elucidate the transition from collective to random behavior exhibited by various mathematical models of bird flocking. In particular, we compare Vicsek's model [Viscek et al., Phys. Rev. Lett. 75, 1226 --…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 H. Christodoulidi , K. van der Weele , Ch. G. Antonopoulos , T. Bountis

Introducing environmental feedback into evolutionary game theory has led to the development of eco-evolutionary games, which have gained popularity due to their ability to capture the intricate interplay between the environment and…

Biological Physics · Physics 2023-08-08 Changyan Di , Qingguo Zhou , Jun Shen , Jinqiang Wang , Rui Zhou , Tianyi Wang

We show that even weak nonreciprocal alignment leads to large-scale structure formation in flocking mixtures. By combining numerical simulations of a binary Vicsek model and the analysis of coarse-grained continuum equations, we demonstrate…

Statistical Mechanics · Physics 2026-02-16 Charlotte Myin , Benoît Mahault

This study investigates the use of global control strategies to enhance the directed migration of swarms of interacting self-propelled particles confined in a channel. Uncontrolled dynamics naturally leads to wall accumulation, clogging,…

Soft Condensed Matter · Physics 2025-12-03 Chiara Calascibetta , Laëtitia Giraldi , Jérémie Bec

We study the large time behavior of a system of interacting agents modeling the relaxation of a large swarm of robots, whose task is to uniformly cover a portion of the domain by communicating with each other in terms of their distance. To…

Analysis of PDEs · Mathematics 2023-07-11 Ferdinando Auricchio , Massimo Carraturo , Giuseppe Toscani , Mattia Zanella

In multi-agent problems requiring a high degree of cooperation, success often depends on the ability of the agents to adapt to each other's behavior. A natural solution concept in such settings is the Stackelberg equilibrium, in which the…

Machine Learning · Computer Science 2024-06-14 Robert Loftin , Mustafa Mert Çelikok , Herke van Hoof , Samuel Kaski , Frans A. Oliehoek