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We describe in this paper an optimal control strategy for shaping a large-scale swarm of particles using boundary global actuation. This problem arises as a key challenge in many swarm robotics applications, especially when the robots are…

最优化与控制 · 数学 2022-01-20 Carlo Sinigaglia , Andrea Manzoni , Francesco Braghin

One standard approach to describe the collective behaviour of self-propelled particles is the Vicsek model: point-like self-propelled particles tend to align their migration directions to the ones of their nearer neighbours at each…

软凝聚态物质 · 物理学 2013-11-27 Andreas M. Menzel

Asymmetric obstacles can be exploited to direct the motion and induce sorting of run-and-tumbling particles. In this work, we show that flocking particles which follow the Vicsek model aligning rules experience a collective trapping in the…

软凝聚态物质 · 物理学 2019-12-02 Raul Martinez , Francisco Alarcon , Juan Luis Aragones , Chantal Valeriani

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

This paper investigates efficient techniques to collect and concentrate an under-actuated particle swarm despite obstacles. Concentrating a swarm of particles is of critical importance in health-care for targeted drug delivery, where…

机器人学 · 计算机科学 2017-01-03 Arun V. Mahadev , Dominik Krupke , Jan-Marc Reinhardt , Sándor P. Fekete , Aaron T. Becker

The effectiveness of collective navigation of biological or artificial agents requires to accommodate for contrasting requirements, such as staying in a group while avoiding close encounters and at the same time limiting the energy…

统计力学 · 物理学 2021-08-06 Francesco Borra , Massimo Cencini , Antonio Celani

Following the goal of using active particles as targeted cargo carriers aimed, for example, to deliver drugs towards cancer cells, the quest for the control of individual active particles with external fields is among the most explored…

软凝聚态物质 · 物理学 2021-06-11 Alexandra Zampetaki , Peter Schmelcher , Hartmut Löwen , Benno Liebchen

We study a simple swarming model on a two-dimensional lattice where the self-propelled particles exhibit a tendency to align ferromagnetically. Volume exclusion effects are present: particles can only hop to a neighboring node if the node…

生物物理 · 物理学 2013-02-18 Fernando Peruani , Tobias Klauss , Andreas Deutsch , Anja Voss-Boehme

Optimal control of large particle systems with collective dynamics by few agents is a subject of high practical importance (e.g. in evacuation dynamics), but still limited mathematical basis. In particular the transition from discrete…

最优化与控制 · 数学 2016-10-06 Martin Burger , René Pinnau , Andreas Roth , Claudia Totzeck , Oliver Tse

We investigate the collective dynamics of self-propelled particles able to probe and anticipate the orientation of their neighbors. We show that a simple anticipation strategy hinders the emergence of homogeneous flocking patterns. Yet,…

统计力学 · 物理学 2015-06-23 Alexandre Morin , Jean-Baptiste Caussin , Christophe Eloy , Denis Bartolo

Utilizing a paradigmatic model for the motion of interacting self-propelled particles, we demonstrate that local accelerations at the level of individual particles can drive transitions between different collective dynamics, leading to a…

软凝聚态物质 · 物理学 2024-01-30 Everton S. Medeiros , Ulrike Feudel

Flocking is a prime example of how robust collective behavior can emerge from simple interaction rules. The flocking transition has been studied extensively since the inception of the original Vicsek model. Here, we introduce a novel…

软凝聚态物质 · 物理学 2024-09-18 Eloise Lardet , Raphaël Voituriez , Silvia Grigolon , Thibault Bertrand

While the collective motion of active particles has been studied extensively, effective strategies to navigate particle swarms without external guidance remain elusive. We introduce a method to control the trajectories of two-dimensional…

软凝聚态物质 · 物理学 2023-08-28 Sophie Y. Lee , Philipp W. A. Schönhöfer , Sharon C. Glotzer

In active matter systems, self-propelled particles can self-organize to undergo collective motion, leading to persistent dynamical behavior out of equilibrium. In cells, cytoskeletal filaments and motor proteins self-organize into complex…

软凝聚态物质 · 物理学 2020-05-19 Jeffrey M. Moore , Tyler N. Thompson , Matthew A. Glaser , Meredith D. Betterton

The emergence of collective motion, also known as flocking or swarming, in groups of moving individuals who orient themselves using only information from their neighbors is a very general phenomenon that is manifested at multiple spatial…

统计力学 · 物理学 2016-04-26 David A. Quint , Ajay Gopinathan

Controlling large particle systems in collective dynamics by a few agents is a subject of high practical importance, e.g., in evacuation dynamics. In this paper we study an instantaneous control approach to steer an interacting particle…

最优化与控制 · 数学 2020-01-29 Martin Burger , Rene Pinnau , Claudia Totzeck , Oliver Tse , Andreas Roth

We present a model of soft active particles that leads to a rich array of collective behavior found also in dense biological swarms of bacteria and other unicellular organisms. Our model uses only local interactions, such as Vicsek-type…

软凝聚态物质 · 物理学 2016-10-13 Ruben van Drongelen , Anshuman Pal , Carl P. Goodrich , Timon Idema

We study an agent-based model of self-propelled particles with a velocity-dependent alignment rule. This interaction is orientation weighted and acts along the line connecting neighboring particles. Tuning the alignment strength produces…

软凝聚态物质 · 物理学 2026-05-19 Bohdan Dobosh , Alexander Yakimenko

Consider a swarm of particles controlled by global inputs. This paper presents algorithms for shaping such swarms in 2D using boundary walls. The range of configurations created by conforming a swarm to a boundary wall is limited. We…

机器人学 · 计算机科学 2016-09-08 Shiva Shahrokhi , Arun Mahadev , Aaron T. Becker

We present a comprehensive computational study of the collective behavior emerging from the competition between self-propulsion, excluded volume interactions and velocity-alignment in a two-dimensionnal model of active particles. We…

软凝聚态物质 · 物理学 2018-01-08 Aitor Martín-Gómez , Demian Levis , Albert Díaz-Guilera , Ignacio Pagonabarraga
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