Complete cluster predictability of the Cucker-Smale flocking model on the real line
type: Item
instance of: scholarly article
title: Complete cluster predictability of the Cucker-Smale flocking model on the real line
zbMATH Open document ID: 1409.34045
author: Seung-Yeal Ha
author: Jinyeong Park
author: Xiongtao Zhang
author: Jeongho Kim
published in: Archive for Rational Mechanics and Analysis
publication date: 2019-01-02T00:00:00Z
review text: In this paper, the second order Cucker-Smale (C-S) flocking model is studied. The temporal dynamics of such model is governed by ordinary differential equations. The authors investigate the prediction of formation of multi-cluster flocking and the critical coupling strength. The following questions form the complete cluster predictability problem: determination of clustering number; structure of emergent multi-clusters; construction of a finite sequence of coupling strengths. In the paper under consideration, the complete cluster predictability problem is addressed for the C-S model in a one-dimensional setting. An explicit algorithm is developed in order to classify the completely determination of the asymptotic features from given initial configurations and the coupling strength. Several numerical simulations are provided to confirm the analytical results obtained in the paper.
reviewed by: Angela Slavova
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 92D50
zbMATH DE Number: 6997177
zbMATH Keywords: Cucker-Smale flocking model
zbMATH Keywords: clustering
zbMATH Keywords: multi-cluster flocking
zbMATH Keywords: complete cluster predictability problem
MaRDI profile type: Publication
full work available at URL: s00205-018-1281-x
OpenAlex ID: W2883239790
cites work: On collision-avoiding initial configurations to Cucker-Smale type flocking models
cites work: Stochastic flocking dynamics of the Cucker–Smale model with multiplicative white noises
cites work: A quest toward a mathematical theory of the dynamics of swarms
cites work: Stochastic mean-field limit: non-Lipschitz forces and swarming
cites work: A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION
cites work: Double milling in self-propelled swarms from kinetic theory
cites work: Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
cites work: SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE
cites work: Emergence of bi-cluster flocking for the Cucker-Smale model
cites work: Emergence of bi-cluster flocking for agent-based models with unit speed constraint
cites work: Avoiding Collisions in Flocks
cites work: Flocking in noisy environments
cites work: Emergent Behavior in Flocks
cites work: Macroscopic limit of self-driven particles with orientation interaction
cites work: Large scale dynamics of the persistent turning Walker model of fish behavior
cites work: CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION
cites work: A kinetic flocking model with diffusion
cites work: Fluid dynamic description of flocking via the Povzner-Boltzmann equation
cites work: Asymptotic dynamics for the Cucker–Smale-type model with the Rayleigh friction
cites work: Critical coupling strength of the Cucker–Smale model for flocking
cites work: Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system
cites work: A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
cites work: Flocking dynamics of singularly perturbed oscillator chain and the Cucker-Smale system
cites work: From particle to kinetic and hydrodynamic descriptions of flocking
cites work: Convergence of Type-Symmetric and Cut-Balanced Consensus Seeking Systems
cites work: Cucker–Smale Flocking under Rooted Leadership with Fixed and Switching Topologies
cites work: Heterophilious Dynamics Enhances Consensus
cites work: A new model for self-organized dynamics and its flocking behavior
cites work: Cucker-Smale Flocking With Inter-Particle Bonding Forces
cites work: Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale models
cites work: Cucker–Smale Flocking under Hierarchical Leadership
cites work: Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups
Wikidata QID: Q129498547
DOI: 10.1007/S00205-018-1281-X
description: scientific article; zbMATH DE number 6997177