Particle, kinetic, and hydrodynamic models of swarming

By José Antonio Carrillo, Massimo Fornasier, Giuseppe Toscani, Francesco Vecil. 2010

409 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Condensed Matter Physics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/9c7fc6f07fccabb0cfa79ad8112b652cef9f77d3

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In Computer Networks and Communications

In Condensed Matter Physics

In Ocean Engineering

Citations in the corpus

Mean Field Limit for Stochastic Particle Systems (2017, background): “One can see [17, 18, 40] and the references therein for a more detailed discussion of flocking or swarming models in the literature.”
The derivation of swarming models: Mean-field limit and Wasserstein distances (2013, background): “Moreover, quite general models incorporating the three eﬀects previously discussed with additional ingredients, such as vision cones or topological interactions, have been considered in [27, 60, 1, 3, 47].”
Emergent dynamics of the Cucker-Smale flocking model and its variants (2016, background): “For other survey on the related topics, we refer to [14, 51].”
Fokker–Planck equations in the modeling of socio-economic phenomena (2017, background): “In the biological context, a consistent part of the recent research in population and behavioral biology and ecology has been looking for the emergent behavior of bird flocks, fish schools or bacteria aggregations.(26,27,38,39,40,60,61,62) Other important examples of emergent behaviors describe buil”
Mean Field Analysis of Controlled Cucker-Smale Type Flocking: Linear Analysis and Perturbation Equations (2011, methodology): “There are two main classes of models for the flocking and swarming behaviour: (i) individual based models in the form of coupled Ordinary (Stochastic) Differential Equations (O(S)DEs) (see for instance (Cucker and Smale, 2007)), and (ii) continuum models in the form of Partial (or integro-partial) D”
On the control through leadership of the Hegselmann–Krause opinion formation model (2015, neutral): “[1, 8, 6, 5, 10, 11, 12, 13, 15, 19], see also Ref.”
Stochastic Mean-Field Limit: Non-Lipschitz Forces & Swarming (2010, methodology): “We refer to [16, 22, 11, 12] and references therein for further discussion about this model and qualitative properties.”
Cucker-Smale model with normalized communication weights and time delay (2016, background): “. Apart from its biological and evolutionary relevance, collective phenomena play a prominent role in many other scientic disciplines, such as robotics, control theory, economics and social sciences [9, 29, 23]. The Cucker-Smale model was introduced and studied in the seminal papers [12, 13], origin”