Flocking behavior of the Cucker-Smale model under rooted leadership in a large coupling limit
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Publication:5496477
DOI10.1090/S0033-569X-2014-01350-5zbMath1322.92087OpenAlexW1999158846MaRDI QIDQ5496477
Seung-Yeal Ha, Marshall Slemrod, Zhuchun Li, Xiao-Ping Xue
Publication date: 2 February 2015
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0033-569x-2014-01350-5
Multiple scale methods for ordinary differential equations (34E13) Animal behavior (92D50) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)
Related Items (11)
A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment ⋮ Collision avoiding finite-time and fixed-time flocking of Cucker–Smale systems with pinning control ⋮ Fixed-time flocking problem of a Cucker-Smale type self-propelled particle model ⋮ Avoiding Collisions in Cucker--Smale Flocking Models under Group-Hierarchical Multileadership ⋮ Emergent flocking dynamics of the discrete thermodynamic Cucker-Smale model ⋮ A revisit to the consensus for linearized Vicsek model under joint rooted leadership via a special matrix ⋮ On the Cucker-Smale flocking with alternating leaders ⋮ Flocking of non-identical Cucker-Smale models on general coupling network ⋮ Hydrodynamic limit of the kinetic thermomechanical cucker-Smale model in a strong local alignment regime ⋮ Emergent behaviors of relativistic flocks on Riemannian manifolds ⋮ Uniform stability and uniform-in-time mean-field limit of the thermodynamic Kuramoto model
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