Hierarchical clustering cooperation flocking based on feedback mechanism

S Li, W Wang, L Li, C Huang, Z Yao - Mathematics and Computers in …, 2024 - Elsevier
The mathematical theory of flocking underlies several omnipresent multi-agent phenomena
in biology, ecology, sensor networks, and economics, and also plays an important role in the …

Non-flocking and flocking for the Cucker-Smale model with distributed time delays

Z Zhang, X Yin, Z Gao - Journal of the Franklin Institute, 2023 - Elsevier
In this paper, we study a flocking behavior that may or not appear for Cucker-Smale model
with distributed time delays. For the short range communicated Cucker-Smale model, the …

Flocking in the Cucker-Smale model with self-delay and nonsymmetric interaction weights

J Haskovec - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
We derive a sufficient condition for asymptotic flocking in the Cucker-Smale model with self-
delay (also called reaction delay) and with nonsymmetric interaction weights. The condition …

Linear formation of Cucker–Smale model with distributed time delays

L Li, L Yan, C Huang, J Cao, X Ding - Mathematics and Computers in …, 2024 - Elsevier
In this paper, linear formation problem of Cucker–Smale model with distributed time delays
is investigated. By using Lyapunov functional method and inequality techniques, combining …

DELAY-DEPENDENT FLOCKING DYNAMICS OF A TWO-GROUP COUPLING SYSTEM.

M Chen, Y Liu, X Wang - Discrete & Continuous Dynamical …, 2023 - search.ebscohost.com
A group coupling model for a system with large-scale nodes is investigated. The model is
formulated as a system of functional differential equations. It incorporates two additional …

The delayed Cucker-Smale model with short range communication weights.

Z Chen, X Yin - Kinetic & Related Models, 2021 - search.ebscohost.com
Various flocking results have been established for the delayed Cucker-Smale model,
especially in the long range communication case. However, the short range communication …

Collision avoidance and asymptotic flocking in the delayed Cucker− Smale model with singular short range communication weights

S Zhou, X Yin, Q Zhang, Z Chen - Journal of Mathematical Analysis and …, 2023 - Elsevier
Abstract The delayed Cucker− Smale (C− S) flocking model has been widely studied,
however, only when the communication weights are regular. For the singular short range …

Cucker-Smale model with finite speed of information propagation: well-posedness, flocking and mean-field limit

J Haskovec - arxiv preprint arxiv:2112.12806, 2021 - arxiv.org
We study a variant of the Cucker-Smale model where information between agents
propagates with a finite speed $\mathfrak {c}> 0$. This leads to a system of functional …

Invariance of velocity angles and flocking in the Inertial Spin model

I Markou - arxiv preprint arxiv:2110.14388, 2021 - arxiv.org
We study the invariance of velocity angles and flocking properties of the Inertial Spin model
introduced by Cavagna et al.[J. Stat. Phys., 158,(2015), 601--627]. We present a novel …

Hard-sphere interactions in velocity-jump models

M Vaquero Villarrubia - 2025 - upcommons.upc.edu
The focus of this thesis is to study the macroscopic description of interacting particle systems
by means of kinetic theory. We first describe the evolution of a hard-sphere interacting …