Fast-slow dynamics of planar particle models for flocking and swarming

DOI10.1016/j.jde.2011.09.014zbMath1243.34065OpenAlexW2043597166MaRDI QIDQ657468

Sungeun Jung, Seung-Yeal Ha, Marshall Slemrod

Publication date: 16 January 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.09.014

zbMATH Keywords

FlockingCucker--Smale systemFast--slow dynamicsRayleigh frictionSwarming

Mathematics Subject Classification ID

Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15) Animal behavior (92D50)

Related Items (6)

Kuramoto oscillators with inertia: A fast-slow dynamical systems approach ⋮ Existence of piecewise weak solutions of a discrete Cucker-Smale's flocking model with a singular communication weight ⋮ Emergent flocking dynamics of the discrete thermodynamic Cucker-Smale model ⋮ Simulation of interaction of flocking particles and an incompressible fluid ⋮ 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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