New conditions to avoid collisions in the discrete Cucker-Smale model with singular interactions

DOI10.1016/j.aml.2020.106906zbMath1457.93014OpenAlexW3107152619MaRDI QIDQ2225302

Lining Ru, Xiao Wang, Yicheng Liu

Publication date: 8 February 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106906

zbMATH Keywords

collision avoidanceCucker-Smale flockingsingular interactions

Mathematics Subject Classification ID

Animal behavior (92D50) Multi-agent systems (93A16)

Related Items (7)

A collisionless singular discrete Cucker-Smale model with deterministic perturbations ⋮ A singular inter-particle force in Cucker-Smale model to avoid collisions ⋮ Flocking dynamics for a multiagent system involving task strategy ⋮ Collision-avoidance, aggregation and velocity-matching in a Cucker-Smale-type model ⋮ Delay-dependent flocking dynamics of a two-group coupling system ⋮ Collision-avoidance and flocking in the Cucker-Smale-type model with a discontinuous controller ⋮ Flocking of Cucker-Smale model with unit speed on general digraphs

Cites Work

• On collision-avoiding initial configurations to Cucker-Smale type flocking models
• Collision-avoiding in the singular Cucker-Smale model with nonlinear velocity couplings
• Flocking of Cucker-Smale model with intrinsic dynamics
• A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
• Sharp conditions to avoid collisions in singular Cucker-Smale interactions
• Cucker–Smale Flocking under Hierarchical Leadership
• Flocking of the Cucker-Smale Model on General Digraphs
• Avoiding Collisions in Cucker--Smale Flocking Models under Group-Hierarchical Multileadership
• Avoiding Collisions in Flocks
• Cucker-Smale Flocking With Inter-Particle Bonding Forces
• Asymptotic Behavior and Collision Avoidance in the Cucker–Smale Model
• A Collisionless Singular Cucker--Smale Model with Decentralized Formation Control
• Emergent Behavior in Flocks
• Cucker–Smale Flocking under Rooted Leadership with Fixed and Switching Topologies

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