Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays

DOI10.3934/nhm.2019032zbMath1435.34081arXiv1902.03819OpenAlexW2981342985MaRDI QIDQ2303655

Cristina Pignotti, Young-Pil Choi

Publication date: 4 March 2020

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.03819

zbMATH Keywords

time delayVlasov equationflockingCucker-Smale model

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Partial functional-differential equations (35R10) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Animal behavior (92D50) PDEs in connection with statistical mechanics (35Q82)

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Cites Work

• Existence of piecewise weak solutions of a discrete Cucker-Smale's flocking model with a singular communication weight
• Cucker-Smale model with normalized communication weights and time delay
• A new model for self-organized dynamics and its flocking behavior
• Kinetic models of opinion formation
• Kinetic description of optimal control problems and applications to opinion consensus
• From particle to kinetic and hydrodynamic descriptions of flocking
• Obstacle and predator avoidance in a model for flocking
• On the mathematics of emergence
• Emergent behavior of Cucker-Smale flocking particles with heterogeneous time delays
• Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays
• Flocking estimates for the Cucker-Smale model with time lag and hierarchical leadership
• Mean-field limit for collective behavior models with sharp sensitivity regions
• On the dynamics of social conflicts: looking for the black swan
• Asymptotic analysis of a Cucker-Smale system with leadership and distributed delay
• A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
• Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system
• Sharp conditions to avoid collisions in singular Cucker-Smale interactions
• Flocking in noisy environments
• A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION
• Multiscale Modeling of Granular Flows with Application to Crowd Dynamics
• Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
• A Cucker--Smale Model with Noise and Delay
• Control to Flocking of the Kinetic Cucker--Smale Model
• Local well-posedness of the generalized Cucker-Smale model with singular kernels
• Cucker–Smale Flocking under Hierarchical Leadership
• Sparse stabilization and control of alignment models
• Modeling and control through leadership of a refined flocking system
• A Collisionless Singular Cucker--Smale Model with Decentralized Formation Control
• Hydrodynamic Cucker--Smale Model with Normalized Communication Weights and Time Delay
• A discontinuous Galerkin method on kinetic flocking models
• Emergent Behavior in Flocks
• A General Collision-Avoiding Flocking Framework
• Flocking dynamics of singularly perturbed oscillator chain and the Cucker-Smale system

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