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Recent experimental evidence suggests that interactions in flocks of birds do not involve a characteristic length scale. Bird flocks have also been revealed to have an inhomogeneous density distribution, with the density of birds near the…

Quantitative Methods · Quantitative Biology 2019-02-22 Jason M. Lewis , Matthew S. Turner

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

Recent empirical observations of three-dimensional bird flocks and human crowds have challenged the long-prevailing assumption that a metric interaction distance rules swarming behaviors. In some cases, individual agents are found to be…

Biological Physics · Physics 2022-09-29 Yilun Shang , Roland Bouffanais

Flocking is a fascinating phenomenon observed across a wide range of living organisms. We investigate, based on a simple self-propelled particle model, how the emergence of ordered motion in a collectively moving group is influenced by the…

Biological Physics · Physics 2024-06-04 Vijay Kumar , Rumi De

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 show that the collective properties of self-propelled particles aligning with their "topological" (Voronoi) neighbors are qualitatively different from those of usual models where metric interaction ranges are used. This relevance of…

Statistical Mechanics · Physics 2015-05-19 Francesco Ginelli , Hugues Chaté

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…

Numerical Analysis · Mathematics 2024-06-21 Giacomo Albi , Federica Ferrarese

The design of control systems for the spatial self-organization of mobile agents is an open challenge across several engineering domains, including swarm robotics and synthetic biology. Here, we propose a bio-inspired leader-follower…

Systems and Control · Electrical Eng. & Systems 2026-03-16 Gian Carlo Maffettone , Alain Boldini , Mario di Bernardo , Maurizio Porfiri

One of the fundamental problems in biology concerns the method by which a cluster of organisms can regulate the proportion of individuals that perform various roles or modes as if each individual knows a whole situation without a leader. A…

Adaptation and Self-Organizing Systems · Physics 2015-12-21 Mayuko Iwamoto , Daishin Ueyama

Swarming is a conspicuous behavioural trait observed in bird flocks, fish shoals, insect swarms and mammal herds. It is thought to improve collective awareness and offer protection from predators. Many current models involve the hypothesis…

Quantitative Methods · Quantitative Biology 2015-06-22 Daniel J. G. Pearce , A. M. Miller , George Rowlands , Matthew S. Turner

Alignment interactions in active matter are typically modeled as relaxational dynamics toward local consensus. In unbounded systems, this makes alignment effectively decoupled from local density and therefore unable to sustain self-confined…

Soft Condensed Matter · Physics 2026-04-10 Julian Giraldo-Barreto , Viktor Holubec

We investigate a class of continuum models for the motion of a two-dimensional biological group under the influence of nonlocal social interactions. The dynamics may be uniquely decomposed into incompressible motion and potential motion.…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 C. M. Topaz , A. L. Bertozzi

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

We consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have identical dynamics (e.g., birds flock, robot swarm) and their…

Optimization and Control · Mathematics 2021-08-18 Yongxin Chen

This paper proposes a new algorithm for collision-free coverage control of multiple non-cooperating swarms in the presence of bounded disturbances. A new methodology is introduced that accounts for uncertainties in disturbance measurements.…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Karolina Schmidt , Luis Rodrigues

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

Flocks of birds exhibit a remarkable degree of coordination and collective response. It is not just that thousands of individuals fly, on average, in the same direction and at the same speed, but that even the fluctuations around the mean…

Coordinated collective motion in bird flocks and fish schools inspires algorithms for cohesive swarm robotics. This paper presents a position-based flocking model that achieves persistent velocity alignment without velocity sensing. By…

We introduce a Cucker-Smale-type model for flocking, where the strength of interaction between two agents depends on their relative separation (called "topological distance" in previous works), which is the number of intermediate…

Dynamical Systems · Mathematics 2015-06-12 Jan Haskovec

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…

Statistical Mechanics · Physics 2015-01-12 Illes J. Farkas , Jeromos Kun , Yi Jin , Gaoqi He , Mingliang Xu
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