Complete characterization of flocking versus nonflocking of Cucker-Smale model with nonlinear velocity couplings

DOI10.1016/j.chaos.2020.109714zbMath1483.82006OpenAlexW3014430898MaRDI QIDQ2120511

Jea-Hyun Park, Jong-Ho Kim

Publication date: 31 March 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.109714

zbMATH Keywords

flockingCucker-Smale modeldiscrete \(p\)-Laplaciandiscrete parabolic equationnonflockingnonlinear velocity coupling

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items (4)

Numerical solutions of the Allen-Cahn equation with the \(p\)-Laplacian ⋮ Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment ⋮ Flocking control for Cucker–Smale model under denial‐of‐service attacks ⋮ Fully nonlinear Cucker-Smale model for pattern formation and damped oscillation control

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• Fujita-type blow-up for discrete reaction-diffusion equations on networks
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• Self-organized criticality in quantum gravity
• Emergent Behavior of a Cucker-Smale Type Particle Model With Nonlinear Velocity Couplings
• Emergent Behavior in Flocks
• A General Collision-Avoiding Flocking Framework

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