Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system

By Seung‐Yeal Ha, Kiseop Lee, Doron Levy. 2009

189 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Global and Planetary Change, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/bc61ff0396b3ef2f10c29adda7a70324a30f170a

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Citations in the corpus

Emergent Behavior of a Cucker-Smale Type Particle Model With Nonlinear Velocity Couplings (2010, methodology): “Several extensions of the C-S model with internal and external forces have been addressed in [13], [14], and the connection with other mechanical and synchronization models in statistical mechanics was also exploited in [15], [16].”
A New Model for Self-organized Dynamics and Its Flocking Behavior (2011, unknown): “The starting point for our discussion is the pioneering work of Cucker-Smale, [8, 9], which led to many subsequent studies [3, 6, 14, 15, 16, 23].”
Flocking estimates for the Cucker–Smale model with time lag and hierarchical leadership (2017, background): “[15, 17, 27, 37, 40, 46, 50, 52]), stochastic terms ([18, 23, 25]), pedestrian crowds (see [16, 31]), infinite-dimensional kinetic models (see [1, 4, 9, 12, 22, 28, 49]), topological models ([5, 29]), control models (see [6, 10, 11, 43, 51]).”
Mean Field Limit for Stochastic Particle Systems (2017, methodology): “We in particular refer to [39] for stochastic Cucker-Smale model with additive white noise as in (1) and to [1] for multiplicative white noise in velocity variables respectively.”
Particle, kinetic, and hydrodynamic models of swarming (2010, background): “Let us mention that the stochastic particle system related to Cucker–Smale with noise has been recently analysed in [38].”
On collision-avoiding initial configurations to Cucker-Smale type flocking models (2012, background): “Cucker-Smale’s flocking estimates were refined and generalized to the kinetic and fluid models in recent literature [1, 2, 4, 5, 6, 7, 8, 9, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 27, 31].”
Cucker-Smale model with normalized communication weights and time delay (2016, background): “The influence of additive noise in individual velocity measurements was studied in [16] and [28], while stochastic flocking dynamics with multiplicative white noises were considered in [1].”