ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS-Reference-Cited by-同舟云学术

ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS

Published:2012-04 Issue:supp01 Volume:22 Page:1140006
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BELLOMO N.¹,SOLER J.²

Affiliation:

1. Department of Mathematics, Politecnico Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy

2. Departamento de Matemática Aplicada, University of Granada, 18071 Granada, Spain

Abstract

This paper deals with the modeling and simulation of swarms viewed as a living, hence complex, system. The approach is based on methods of kinetic theory and statistical mechanics, where interactions at the microscopic scale are nonlinearly additive and modeled by stochastic games.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202511400069

Reference87 articles.

1. STOCHASTIC DYNAMICS OF VISCOELASTIC SKEINS: CONDENSATION WAVES AND CONTINUUM LIMITS

2. Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study

3. On the modeling of crowd dynamics: Looking at the beautiful shapes of swarms

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