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We present a Cucker-Smale (C-S) type flocking model on a sphere. We study velocity alignment on a sphere and prove the emergence of flocking for the proposed model. Our model includes three new terms: a centripetal force, multi-agent…

动力系统 · 数学 2020-10-22 Sun-Ho Choi , Dohyun Kwon , Hyowon Seo

We present a sufficient condition of the complete position flocking theorem for the Cucker-Smale type model on the unit sphere with an inter-particle bonding force. For this second order dynamical system derived in [Choi, S.-H., Kwon, D.…

动力系统 · 数学 2021-01-05 Sun-Ho Choi , Dohyun Kwon , Hyowon Seo

We study the Cucker-Smale model with a velocity control function. The Cucker-Smale model design the emergence of consensus in terms of flocking. A proposed model encompasses several Cucker-Smale models, such as a speed limit model, a…

经典分析与常微分方程 · 数学 2023-02-08 Junhyeok Byeon

Formation control with the flocking approach is an efficient method that can reach the formation without determining the agent's position. This paper focuses on reaching the circular formation around the leader or target with a specific…

系统与控制 · 电气工程与系统科学 2023-01-19 Seyed Mohammad Mahdi Seyed Sajadi , Hajar Atrianfar

This paper considers a group of mobile autonomous agents moving in Euclidean space with point mass dynamics. We introduce a set of coordination control laws that enable the group to generate the desired stable flocking motion. The control…

统计理论 · 数学 2007-06-13 Long Wang

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…

动力系统 · 数学 2015-06-12 Jan Haskovec

We present a new stochastic particle system on networks which describes the flocking behavior and pattern formation. More precisely, we consider Cucker-Smale particles with decentralized formation control and multiplicative noises on…

动力系统 · 数学 2022-04-20 Young-Pil Choi , Doeun Oh , Oliver Tse

We introduce a model for self-organized dynamics which, we argue, addresses several drawbacks of the celebrated Cucker-Smale (C-S) model. The proposed model does not only take into account the distance between agents, but instead, the…

偏微分方程分析 · 数学 2015-05-27 Sebastien Motsch , Eitan Tadmor

Animal swarms displaying a variety of typical flocking patterns would not exist without underlying safe, optimal and stable dynamics of the individuals. The emergence of these universal patterns can be efficiently reconstructed with…

A mathematical theory on flocking serves the foundation for several ubiquitous multi-agent phenomena in biology, ecology, sensor networks, economy, as well as social behavior like language emergence and evolution. Directly inspired by the…

种群与进化 · 定量生物学 2007-05-23 Jackie , Shen

Swarm robotic systems utilize collective behaviour to achieve goals that might be too complex for a lone entity, but become attainable with localized communication and collective decision making. In this paper, a behaviour-based distributed…

多智能体系统 · 计算机科学 2023-09-06 Akshaya C S , Karthik Soma , Visweswaran B , Aditya Ravichander , Venkata Nagarjun PM

We consider flocks of artificial birds and study the emergence of V-like formations during flight. We introduce a small set of fully distributed positioning rules to guide the birds' movements and demonstrate, by means of simulations, that…

神经与进化计算 · 计算机科学 2008-04-11 Andre Nathan , Valmir C. Barbosa

We consider the Cucker-Smale system with multiplicative noise in a harmonic potential field and investigate the effect of harmonic potential field. In the presence of external potential force, the system is expected to emerge into almost…

动力系统 · 数学 2022-05-27 Du Linglong , Zhou Xinyun

Currently, the general aim of flocking and formation control laws for multi-agent systems is to form and maintain a rigid configuration, such as, the alpha-lattices in flocking control methods, where the desired distance between each pair…

系统与控制 · 电气工程与系统科学 2023-08-09 Tinghua Li , Bayu Jayawardhana

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…

软凝聚态物质 · 物理学 2023-02-13 Martino Brambati , Giuseppe Fava , Francesco Ginelli

Consider a flock of birds that fly interacting between them. The interactions are modelled through a hierarchical system in which each bird, at each time step, adjusts its own velocity according to his past velocity and a weighted mean of…

概率论 · 数学 2009-12-24 Federico Dalmao , Ernesto Mordecki

We propose a large-scale scaling viewpoint for deriving mesoscopic dynamics from interacting particle systems and apply it to the Cucker--Smale flocking model. In contrast with the classical mean-field regime leading to the Vlasov-type…

偏微分方程分析 · 数学 2026-02-17 Ruicheng Cheng , Seung-Yeal Ha , Jaemoon Lee , Zhenfu Wang

We study emergent behaviors of Cucker-Smale(CS) flocks on the hyperboloid $\mathbb{H}^d$ in any dimensions. In a recent work \cite{H-H-K-K-M}, a first-order aggregation model on the hyperboloid was proposed and its emergent dynamics was…

数学物理 · 物理学 2021-08-25 Hyunjin Ahn , Seung-Yeal Ha , Hansol Park , Woojoo Shim

In this paper, we consider multiple mobile agents moving in Euclidean space with point mass dynamics. Using a coordination control scheme, we can make the group generate stable flocking motion. The control laws are a combination of…

统计理论 · 数学 2007-06-13 Long Wang

We study the emergent behaviors of the weak solutions to the kinetic Cucker-Smale (in short, KCS) model in a non-compact spatial-velocity support setting. Unlike the compact support situation, non-compact support of a weak solution can…

偏微分方程分析 · 数学 2026-04-21 Seung-Yeal Ha , Xinyu Wang
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