Asymptotic Tracking of a Point Cloud Moving on Riemannian Manifolds

Interacting particle systems in time-dependent statistical mechanics (82C22) Control problems involving ordinary differential equations (34H05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary differential equations and systems on manifolds (34C40) Animal behavior (92D50)

Cites Work

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A conditional, collision-avoiding, model for swarming
Existence of piecewise weak solutions of a discrete Cucker-Smale's flocking model with a singular communication weight
Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds
Large scale dynamics of the persistent turning Walker model of fish behavior
From particle to kinetic and hydrodynamic descriptions of flocking
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Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays
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
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Macroscopic limit of self-driven particles with orientation interaction
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Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups
Emergent behaviors of Cucker–Smale flocks on the hyperboloid
Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
Avoiding Collisions in Flocks
Cucker-Smale Flocking With Inter-Particle Bonding Forces
Emergent Behaviors of Cucker–Smale Flocks on Riemannian Manifolds
Avoiding Collisions and Pattern Formation in Flocks
A Collisionless Singular Cucker--Smale Model with Decentralized Formation Control
Emergent Behavior in Flocks
A General Collision-Avoiding Flocking Framework
Riemannian geometry and geometric analysis
Rendezvous Control Design for the Generalized Cucker–Smale Model on Riemannian Manifolds

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