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With the aim of understanding the emergence of collective motion from local interactions of organisms in a "noisy" environment, we study biologically inspired, inherently non-equilibrium models consisting of self-propelled particles. In…

Biological Physics · Physics 2009-10-31 A. Czirok , T. Vicsek

Recent studies suggest that non-cooperative behavior such as cannibalism may also be a driving mechanism of collective motion. Motivated by these novel results we introduce a simple model of Brownian particles interacting by pursuit and…

Statistical Mechanics · Physics 2009-11-13 Pawel Romanczuk , Iain D. Couzin , Lutz Schimansky-Geier

Collective motion is found in various animal systems, active suspensions and robotic or virtual agents. This is often understood using high level models that directly encode selected empirical features, such as co-alignment and cohesion.…

Biological Physics · Physics 2019-07-19 Henry J. Charlesworth , Matthew S. Turner

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

Collective motion in animal groups emerges from the interplay between individual variability and social coordination, yet connecting these scales quantitatively has remained a major challenge.Using high-resolution trajectories of schooling…

Other Condensed Matter · Physics 2026-01-15 Elena G. de Lamo , M. Carmen Miguel , Romualdo Pastor-Satorras

The spontaneous organization of collective activities in animal groups and societies has attracted a considerable amount of attention over the last decade. This kind of coordination often permits group-living species to achieve collective…

Physics and Society · Physics 2010-05-20 Mehdi Moussaid , Simon Garnier , Guy Theraulaz , Dirk Helbing

Collective motion is one of the most ubiquitous behaviours displayed by social organisms and has led to the development of numerous models. Recent advances in the understanding of sensory system and information processing by animals impel…

Biological Physics · Physics 2016-01-28 Bertrand Collignon , Axel Séguret , José Halloy

We present existence, uniqueness and continuous dependence results for some kinetic equations motivated by models for the collective behavior of large groups of individuals. Models of this kind have been recently proposed to study the…

Analysis of PDEs · Mathematics 2011-12-07 José A. Cañizo , José A. Carrillo , Jesús Rosado

Human populations exhibit complex behaviors---characterized by long-range correlations and surges in activity---across a range of social, political, and technological contexts. Yet it remains unclear where these collective behaviors come…

Physics and Society · Physics 2020-05-07 Christopher W. Lynn , Lia Papadopoulos , Daniel D. Lee , Danielle S. Bassett

Collective movement is observed widely in nature, where individuals interact locally to produce globally ordered, coherent motion. In typical models of collective motion, each individual takes the average direction of multiple neighbors,…

Quantitative Methods · Quantitative Biology 2026-01-23 Yogesh Kumar KC , Arshed Nabeel , Srikanth Iyer , Vishwesha Guttal

Fish schooling is often modeled with self-propelled particles subject to phenomenological behavioral rules. Although fish are known to sense and exploit flow features, these models usually neglect hydrodynamics. Here, we propose a novel…

Biological Physics · Physics 2018-05-16 Audrey Filella , François Nadal , Clément Sire , Eva Kanso , Christophe Eloy

We discuss the collective dynamics of self-propelled particles with selective attraction and repulsion interactions. Each particle, or individual, may respond differently to its neighbors depending on the sign of their relative velocity.…

Other Condensed Matter · Physics 2012-05-16 Pawel Romanczuk , Lutz Schimansky-Geier

Classic computational models of collective motion suggest that simple local averaging rules can promote many observed group level patterns. Recent studies, however, suggest that rules simpler than local averaging may be at play in real…

Adaptation and Self-Organizing Systems · Physics 2022-05-19 Vivek Jadhav , Vishwesha Guttal , Danny Raj M

Schooling fish often self-organize into a variety of collective patterns, from polarized schooling to rotational milling. Mathematical models support the emergence of these large-scale patterns from local decentralized interactions, in the…

Adaptation and Self-Organizing Systems · Physics 2025-07-23 Alyssa Chan , Eva Kanso

In order to keep their cohesiveness during locomotion gregarious animals must make collective decisions. Many species boast complex societies with multiple levels of communities. A common case is when two dominant levels exist, one…

Biological Physics · Physics 2017-04-03 Bence Ferdinandy , Katalin Ozogány , Tamás Vicsek

Nature provides us with abundant examples of how large numbers of individuals can make decisions without the coordination of a central authority. Social insects, birds, fishes, and many other living collectives, rely on simple interaction…

Robotics · Computer Science 2019-12-19 Gabriele Valentini

Computational models of collective behavior in birds has allowed us to infer interaction rules directly from experimental data. Using a generic form of these rules we explore the collective behavior and emergent dynamics of a simulated…

Adaptation and Self-Organizing Systems · Physics 2012-07-24 Michael Small , Xiaoke Xu

Collective motion - or flocking - is an emergent phenomena that underlies many biological processes of relevance, from cellular migrations to animal groups movement. In this work, we derive scaling relations for the fluctuations of the mean…

Soft Condensed Matter · Physics 2023-02-13 Martino Brambati , Giuseppe Fava , Francesco Ginelli

We propose a model of inference and heuristic decision-making in groups that is rooted in the Bayes rule but avoids the complexities of rational inference in partially observed environments with incomplete information, which are…

Multiagent Systems · Computer Science 2016-11-04 M. Amin Rahimian , Ali Jadbabaie

Interacting individuals in complex systems often give rise to coherent motion exhibiting coordinated global structures. Such phenomena are ubiquitously observed in nature, from cell migration, bacterial swarms, animal and insect groups, and…

Neural and Evolutionary Computing · Computer Science 2024-07-17 Dongjo Kim , Jeongsu Lee , Ho-Young Kim