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We study the long-time hydrodynamic behavior of systems of multi-species which arise from agent-based description of alignment dynamics. The interaction between species is governed by an array of symmetric communication kernels. We prove…

Analysis of PDEs · Mathematics 2022-09-07 Jingcheng Lu , Eitan Tadmor

We introduce and analyze a model for the dynamics of flocking and steering of a finite number of agents. In this model, each agent's acceleration consists of flocking and steering components. The flocking component is a generalization of…

Dynamical Systems · Mathematics 2022-02-22 Guy A Djokam , Muruhan Rathinam

Over the past few decades, the research community has been interested in the study of multi-agent systems and their emerging collective dynamics. These systems are all around us in nature, like bacterial colonies, fish schools, bird flocks,…

Adaptation and Self-Organizing Systems · Physics 2023-12-12 Gourab Kumar Sar , Dibakar Ghosh

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

A decentralized swarm approach for the fast cooperative flight of Unmanned Aerial Vehicles (UAVs) in feature-poor environments without any external localization and communication is introduced in this paper. A novel model of a UAV…

Robotics · Computer Science 2024-04-30 Jiri Horyna , Vit Kratky , Vaclav Pritzl , Tomas Baca , Eliseo Ferrante , Martin Saska

Within a simple model of attractive active Brownian particles, we predict flocking behavior and challenge the widespread idea that alignment interactions are necessary to observe this collective phenomenon. Here, we show that even…

Soft Condensed Matter · Physics 2023-04-19 Lorenzo Caprini , Hartmut Löwen

Decentralized drone swarms deployed today either rely on sharing of positions among agents or detecting swarm members with the help of visual markers. This work proposes an entirely visual approach to coordinate markerless drone swarms…

Robotics · Computer Science 2019-08-09 Fabian Schilling , Julien Lecoeur , Fabrizio Schiano , Dario Floreano

Collective movement inspired by animal groups promises inherited benefits for robot swarms, such as enhanced sensing and efficiency. However, while animals move in groups using only their local senses, robots often obey central control or…

Robotics · Computer Science 2024-06-26 David Mezey , Renaud Bastien , Yating Zheng , Neal McKee , David Stoll , Heiko Hamann , Pawel Romanczuk

Flocking model has been widely used to control robotic swarm. However, with the increasing scalability, there exist complex conflicts for robotic swarm in autonomous navigation, brought by internal pattern maintenance, external environment…

Multiagent Systems · Computer Science 2019-07-30 Li Ma , Weidong Bao , Xiaomin Zhu , Meng Wu , Yuan Wang , Yunxiang Ling , Wen Zhou

Mutual localization provides a consensus of reference frame as an essential basis for cooperation in multirobot systems. Previous works have developed certifiable and robust solvers for relative transformation estimation between each pair…

Robotics · Computer Science 2022-10-18 Yingjian Wang , Xiangyong Wen , Yanjun Cao , Chao Xu , Fei Gao

We consider a compressible Euler system with singular velocity alignment, known as the Euler-alignment system, describing the flocking behaviors of large animal groups. We establish a local well-posedness theory for the system, as well as a…

Analysis of PDEs · Mathematics 2020-07-17 Li Chen , Changhui Tan , Lining Tong

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 have proposed a model based upon flocking on a complex network, and then developed two clustering algorithms on the basis of it. In the algorithms, firstly a \textit{k}-nearest neighbor (knn) graph as a weighted and directed graph is…

Machine Learning · Computer Science 2008-12-31 Qiang Li , Yan He , Jing-ping Jiang

This paper studies the problem of having mobile robots in a multi-robot system maintain an estimate of the relative position and relative orientation of near-by robots in the environment. This problem is studied in the context of large…

Robotics · Computer Science 2013-12-09 Alejandro Cornejo , Radhika Nagpal

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…

Disordered Systems and Neural Networks · Physics 2025-11-05 Arthur N. Montanari , Ana Elisa D. Barioni , Chao Duan , Adilson E. Motter

We bound the time it takes for a group of birds to reach steady state in a standard flocking model. We prove that (i) within single exponential time fragmentation ceases and each bird settles on a fixed flying direction; (ii) the flocking…

Computational Geometry · Computer Science 2009-05-27 Bernard Chazelle

UAV collective motion has become a hot research topic in recent years. The realization of UAV collective motion, however, relied heavily on centralized control method and suffered from instability. Inspired by bird flocking theory, a…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Xiyuan Liu , Li Qiu

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 present a deep reinforcement learning-based framework for automatically discovering patterns available in any given initial configuration of fat robot swarms. In particular, we model the problem of collision-less gathering and mutual…

Robotics · Computer Science 2022-09-21 Nelson Sharma , Aswini Ghosh , Rajiv Misra , Supratik Mukhopadhyay , Gokarna Sharma

In this work, we explore emergent behaviors by swarms of anonymous, homogeneous, non-communicating, reactive robots that do not know their global position and have limited relative sensing. We introduce a novel method that enables such…

Robotics · Computer Science 2018-04-19 Mario Coppola , Jian Guo , Eberhard K. A. Gill , Guido C. H. E. de Croon