Complete cluster predictability of the Cucker–Smale flocking model on the real line
We present the complete predictability of clustering for the Cucker–Smale (C–S) model on
the line. Emergence of multi-cluster flocking is often observed in numerical simulations for …
the line. Emergence of multi-cluster flocking is often observed in numerical simulations for …
[HTML][HTML] A note on the fixed-time bipartite flocking for nonlinear multi-agent systems
Q Xiao, H Liu, X Wang, Y Huang - Applied Mathematics Letters, 2020 - Elsevier
This work focuses on the fixed-time bipartite flocking control problem for multi-agent
systems. By employing the structurally balanced signed graph theory and a fixed-time …
systems. By employing the structurally balanced signed graph theory and a fixed-time …
[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 …
[HTML][HTML] Complete classification of the asymptotical behavior for singular CS model on the real line
X Zhang, T Zhu - Journal of differential equations, 2020 - Elsevier
In this paper, we study the singular Cucker-Smale (CS) model on the real line. For long
range case, ie β< 1, we prove the uniqueness of the solution in the sense of Definition 2.1 …
range case, ie β< 1, we prove the uniqueness of the solution in the sense of Definition 2.1 …
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 …
Emergent behaviors of the Cucker–Smale ensemble under attractive–repulsive couplings and Rayleigh frictions
In this paper, we revisit an interaction problem of two homogeneous Cucker–Smale (in short
CS) ensembles with attractive–repulsive couplings, possibly under the effect of Rayleigh …
CS) ensembles with attractive–repulsive couplings, possibly under the effect of Rayleigh …
Emergent behaviors of continuous and discrete thermomechanical Cucker–Smale models on general digraphs
We present emergent dynamics of continuous and discrete thermomechanical Cucker–
Smale (TCS) models equipped with temperature as an extra observable on general digraph …
Smale (TCS) models equipped with temperature as an extra observable on general digraph …
Pattern formation in the Cucker-Smale model
Y Zhang - Journal of Differential Equations, 2023 - Elsevier
In this paper, we study the pattern formation phenomenon in the Cucker-Smale model with
short-range communication weight under the interaction with introduced driving force. We …
short-range communication weight under the interaction with introduced driving force. We …
The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds
We study the mean-field limit of the Cucker-Smale (CS) model for flocking on complete
smooth Riemannian manifolds. For this, we first formally derive the kinetic manifold CS …
smooth Riemannian manifolds. For this, we first formally derive the kinetic manifold CS …