Asymptotic analysis of a cucker–smale system with leadership and distributed delay
C Pignotti, I Reche Vallejo - Trends in Control Theory and Partial …, 2019 - Springer
We extend the analysis developed in Pignotti and Reche Vallejo (J Math Anal Appl 464:
1313–1332, 2018)[34] in order to prove convergence to consensus results for a Cucker …
1313–1332, 2018)[34] in order to prove convergence to consensus results for a Cucker …
Cucker–smale flocking behavior for multiagent networks with coopetition interactions and communication delays
Flocking aims to drive a group of agents connecting with each other to interact in a complex
way, thereby emerging the behavior of group aggregation. Owing to the prevalence and …
way, thereby emerging the behavior of group aggregation. Owing to the prevalence and …
Emergent behaviors of relativistic flocks on Riemannian manifolds
We present a relativistic counterpart of the Cucker–Smale (CS) model on Riemannian
manifolds (manifold RCS model in short) and study its collective behavior. For Euclidean …
manifolds (manifold RCS model in short) and study its collective behavior. For Euclidean …
[HTML][HTML] Time-delay effect on the flocking in an ensemble of thermomechanical Cucker–Smale particles
We study the communication time-delay effect on the emergent dynamics of thermodynamic
Cucker–Smale (TCS) ensemble with temperature as an internal state. In the presence of …
Cucker–Smale (TCS) ensemble with temperature as an internal state. In the presence of …
Interplay of time-delay and velocity alignment in the Cucker-Smale model on a general digraph
Interplay of time-delay and velocity alignment in the Cucker-Smale model on a general
digraph AIMS share this content in Facebook share this content in Twitter share this content …
digraph AIMS share this content in Facebook share this content in Twitter share this content …
Asymptotic flocking in the Cucker-Smale model with reaction-type delays in the non-oscillatory regime
J Haskovec, I Markou - arXiv preprint arXiv:1810.01084, 2018 - arxiv.org
We study a variant of the Cucker-Smale system with reaction-type delay. Using novel
backward-forward and stability estimates on appropriate quantities we derive sufficient …
backward-forward and stability estimates on appropriate quantities we derive sufficient …
Emergent behaviors of thermodynamic Cucker–Smale ensemble with a unit-speed constraint.
H Ahn - Discrete & Continuous Dynamical Systems-Series B, 2023 - search.ebscohost.com
We propose the thermodynamic Cucker–Smale system with unit-speed constraints (TCSUS)
and study its emergent dynamics with rigorous proofs. For this, three dissipative differential …
and study its emergent dynamics with rigorous proofs. For this, three dissipative differential …
Consensus of the Hegselmann–Krause opinion formation model with time delay
In this paper, we study Hegselmann–Krause models with a time‐variable time delay. Under
appropriate assumptions, we show the exponential asymptotic consensus when the time …
appropriate assumptions, we show the exponential asymptotic consensus when the time …
The Cucker-Smale model with time delay
MR Cartabia - arXiv preprint arXiv:2008.09530, 2020 - arxiv.org
We study the classical Cucker-Smale model in continuous time with a positive time delay
$\tau $. As in the non-delayed case, unconditional flocking occurs when $\beta\leq 1/2$ for …
$\tau $. As in the non-delayed case, unconditional flocking occurs when $\beta\leq 1/2$ for …
One dimensional singular Cucker–Smale model: uniform-in-time mean-field limit and contractivity
YP Choi, X Zhang - Journal of Differential Equations, 2021 - Elsevier
We analyze the one dimensional Cucker–Smale (in short CS) model with a weak singular
communication weight ψ (x)=| x|− β with β∈(0, 1). We first establish a global-in-time …
communication weight ψ (x)=| x|− β with β∈(0, 1). We first establish a global-in-time …