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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

Organizational growth processes have consistently been shown to exhibit a fatter-than-Gaussian growth-rate distribution in a variety of settings. Long periods of relatively small changes are interrupted by sudden changes in all size scales.…

Physics and Society · Physics 2014-08-13 Hernan Mondani , Petter Holme , Fredrik Liljeros

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

Hydrodynamic systems arising in swarming modelling include nonlocal forces in the form of attractive-repulsive potentials as well as pressure terms modelling strong local repulsion. We focus on the case where there is a balance between…

Analysis of PDEs · Mathematics 2018-03-12 José A. Carrillo , Aneta Wróblewska-Kamińska , Ewelina Zatorska

Spatial self-organization emerges in distributed systems exhibiting local interactions when nonlinearities and the appropriate propagation of signals are at work. These kinds of phenomena can be modeled with different frameworks, typically…

Cell Behavior · Quantitative Biology 2016-11-23 Adriano Bonforti , Salva Duran-Nebreda , Raul Montañez , Ricard Solé

In this paper, we consider a multi-agent system consisting of mobile agents with second-order dynamics. The communication network is determined by the so-called topological interaction rule: agents interact with a fixed number of their…

Optimization and Control · Mathematics 2013-11-26 Samuel Martin

The flocking of self-propelled particles in heterogeneous environments is relevant to both natural and artificial systems. The Vicsek model is a canonical choice to investigate such systems due to the minimal number of parameters required…

Computational Physics · Physics 2024-12-11 Eighdi Aung , Nicole Abaid , James E. McClure

We derive a hydrodynamic description of metric-free active matter: starting from self-propelled particles aligning with neighbors defined by "topological" rules, not metric zones, -a situation advocated recently to be relevant for bird…

Soft Condensed Matter · Physics 2015-06-04 Anton Peshkov , Sandrine Ngo , Eric Bertin , Hugues Chaté , Francesco Ginelli

We study the effects of animal social networks with a weighted pattern of interactions on the flocking transition exhibited by models of self-organized collective motion. Considering a model representing dynamics on a one-dimensional…

Physics and Society · Physics 2022-10-19 Jaume Ojer , Romualdo Pastor-Satorras

We consider the dynamics of systems of self propelling particles with nonholonomic constraints. A continuum model for a discrete algorithm used in works by T. Vicsek et al. is proposed. For a case of planar geometry the finite flocking…

Classical Physics · Physics 2007-05-23 V. L. Kulinskii , V. I. Ratushnaya , A. V. Zvelindovsky , D. Bedeaux

Natural flocks need to cope with various forms of heterogeneities, for instance, their composition, motility, interaction, or environmental factors. Here, we study the effects of such heterogeneities on the flocking dynamics of the…

Statistical Mechanics · Physics 2025-12-15 Aditya Kumar Dutta , Matthieu Mangeat , Heiko Rieger , Raja Paul , Swarnajit Chatterjee

Self-organization is a process where a stable pattern is formed by the cooperative behavior between parts of an initially disordered system without external control or influence. It has been introduced to multi-agent systems as an internal…

Artificial Intelligence · Computer Science 2021-05-27 Jieting Luo , Beishui Liao , John-Jules Meyer

Inspired by one--dimensional light--particle systems, the dynamics of a non-Hamiltonian system with long--range forces is investigated. While the molecular dynamics does not reach an equilibrium state, it may be approximated in the…

Statistical Mechanics · Physics 2019-01-23 Romain Bachelard , Nicola Piovella , Shamik Gupta

Bridging the gap between individual agent behavior and macroscopic societal patterns is a central challenge in the social sciences. In this work, we propose a solution to this problem via a kinetic theory formulation. We demonstrate that…

Physics and Society · Physics 2025-11-13 Miguel A. Durán-Olivencia

The simulation of pedestrian crowd that reflects reality is a major challenge for researches. Several crowd simulation models have been proposed such as cellular automata model, agent-based model, fluid dynamic model, etc. It is important…

Multiagent Systems · Computer Science 2017-08-15 Wonho Kang , Youngnam Han

Motivated by recent experimental and computational results that show a motility-induced clustering transition in self-propelled particle systems, we study an individual model and its corresponding Self-Organized Hydrodynamic model for…

Adaptation and Self-Organizing Systems · Physics 2016-02-22 Pierre Degond , Silke Henkes , Hui Yu

This work presents a microscopic model to describe pedestrian flows based on the social force theory. The aim of this study is twofold: (1) developing a realistic model that can be used as a tool for designing pedestrian-friendly…

Multiagent Systems · Computer Science 2026-01-07 Péter Molnár

In this work, we perform modulation analysis of monokinetic limits from the kinetic Cucker- Smale model to the pressureless Euler alignment system. Two regimes are considered -- a strong Fokker- Planck force with vanishing noise and Knudsen…

Analysis of PDEs · Mathematics 2025-08-08 Alina Chertock , Roman Shvydkoy , Trevor Teolis

The physics of active biological matter, such as bacterial colonies and bird flocks, exhibiting interesting self-organizing dynamical behavior has gained considerable importance in recent years. Recent theoretical advances use techniques…

Biological Physics · Physics 2023-07-26 Abhishek Sivaram , Venkat Venkatasubramanian

This study proposes a distributed algorithm that makes agents' adaptive grouping entrap multiple targets via automatic decision making, smooth flocking, and well-distributed entrapping. Agents make their own decisions about which targets to…

Multiagent Systems · Computer Science 2022-06-30 Chen Wang , Minqiang Gu , Wenxi Kuang , Dongliang Wang , Weicheng Luo , Zhaohui Shi , Zhun Fan
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