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Several models of flocking have been promoted based on simulations with qualitatively naturalistic behavior. In this paper we provide the first direct application of computational modeling methods to infer flocking behavior from…

其他定量生物学 · 定量生物学 2015-05-30 Graciano Dieck Kattas , Xiao-Ke Xu , Michael Small

We investigate the emergence of cohesive flocking in open, boundless space using a multi-agent reinforcement learning framework. Agents integrate positional and orientational information from their closest topological neighbours and learn…

软凝聚态物质 · 物理学 2026-02-02 Martino Brambati , Antonio Celani , Marco Gherardi , Francesco Ginelli

The well-known Cucker-Smale model is a macroscopic system reflecting flocking, i.e. the alignment of velocities in a group of autonomous agents having mutual interactions. In the present paper, we consider the mean-field limit of that…

最优化与控制 · 数学 2014-11-19 Benedetto Piccoli , Francesco Rossi , Emmanuel Trélat

In this paper, we present a model describing the collective motion of birds. The model introduces spontaneous changes in direction which are initialized by few agents, here referred as leaders, whose influence act on their nearest…

数值分析 · 数学 2024-06-21 Giacomo Albi , Federica Ferrarese

Collective motion in animals and cells often exhibits rapid reorientations and scale-free velocity correlations. This allows information to spread rapidly through the group, allowing an adequate collective response to environmental changes…

The fundamental derivation of macroscopic model equations to describe swarms based on microscopic movement laws and mathematical analyses into their self-organisation capabilities remains a challenge from the perspective of both modelling…

偏微分方程分析 · 数学 2022-07-25 Sara Bernardi , Gissell Estrada-Rodriguez , Heiko Gimperlein , Kevin J. Painter

A mathematical theory on flocking serves the foundation for several ubiquitous multi-agent phenomena in biology, ecology, sensor networks, economy, as well as social behavior like language emergence and evolution. Directly inspired by the…

种群与进化 · 定量生物学 2007-05-23 Jackie , Shen

This paper addresses the leader-follower flocking problem with a moving leader for networked Lagrange systems with parametric uncertainties under a proximity graph. Here a group of followers move cohesively with the moving leader to…

最优化与控制 · 数学 2015-07-23 Sheida Ghapani , Jie Mei , Wei Ren , Yongduan Song

The flocking motion control is concerned with managing the possible conflicts between local and team objectives of multi-agent systems. The overall control process guides the agents while monitoring the flock-cohesiveness and localization.…

系统与控制 · 电气工程与系统科学 2023-03-20 Shuzheng Qu , Mohammed Abouheaf , Wail Gueaieb , Davide Spinello

The cohesive collective motion (flocking, swarming) of autonomous agents is ubiquitously observed and exploited in both natural and man-made settings, thus, minimal models for its description are essential. In a model with continuous space…

统计力学 · 物理学 2015-01-12 Illes J. Farkas , Jeromos Kun , Yi Jin , Gaoqi He , Mingliang Xu

Collective motion of bird flocks can be explained via the hypothesis of many wrongs, and/or, a structured leadership mechanism. In pigeons, previous studies have shown that there is a well-defined hierarchical structure and certain specific…

物理与社会 · 物理学 2015-06-03 Xiao-Ke Xu , Graciano Dieck Kattas , Michael Small

Populations of self-propelled mobile agents - animal groups, robot swarms or crowds of people - that exchange information with their surrounding, host fascinating cooperative behaviors. While in many situations of interest the agents motion…

物理与社会 · 物理学 2019-01-28 Demian Levis , Albert Diaz-Guilera , Ignacio Pagonabarraga , Michele Starnini

The motion of pedestrian crowds (e.g. for simulation of an evacuation situation) can be modeled as a multi-body system of self driven particles with repulsive interaction. We use a few simple situations to determine the simplest allowed…

物理与社会 · 物理学 2009-12-04 B. Steffen

In many multi-agent systems of practical interest, such as traffic networks or crowd evacuation, control actions cannot be exerted on all agents. Instead, controllable leaders must indirectly steer uncontrolled followers through local…

系统与控制 · 电气工程与系统科学 2026-03-18 Davide Salzano , Gian Carlo Maffettone , Mario di Bernardo

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,…

软凝聚态物质 · 物理学 2026-02-26 Mohit Gaur , Arnab Saha , Subhajit Paul

Starting from recent experimental observations of starlings and jackdaws, we propose a minimal agent-based mathematical model for bird flocks based on a system of second-order delayed stochastic differential equations with discontinuous…

适应与自组织系统 · 物理学 2021-10-08 Emiliano Cristiani , Marta Menci , Marco Papi , Léonard Brafman

Flocking refers to collective behavior of a large number of interacting entities, where the interactions between discrete individuals produce collective motion on the large scale. We employ an agent-based model to describe the microscopic…

数值分析 · 数学 2020-12-23 Zhiping Mao , Zhen Li , George Em Karniadakis

The study of flocking in biological systems has identified conditions for self-organized collective behavior, inspiring the development of decentralized strategies to coordinate the dynamics of swarms of drones and other autonomous…

无序系统与神经网络 · 物理学 2025-11-05 Arthur N. Montanari , Ana Elisa D. Barioni , Chao Duan , Adilson E. Motter

Among natural biological flocks/swarms or even mass social activities, when the collective behaviors of the followers has been dominated by the moving direction or opinion of one leader group, it seems very difficult for later-coming…

物理与社会 · 物理学 2009-09-30 Hai-Tao Zhang , Ning Wang , Michael Z. Q. Chen , Tao Zhou , Changsong Zhou

When particles move at a constant speed and have the tendency to align their directions of motion, ordered large scale movement can emerge despite significant levels of noise. Many variants of this model of self-propelled particles have…

生物物理 · 物理学 2012-12-11 Matthias Meschede , Oskar Hallatschek