On Lagrangian dynamics based modeling of swarm behavior


Gazi V.

PHYSICA D-NONLINEAR PHENOMENA, vol.260, pp.159-175, 2013 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume: 260
  • Publication Date: 2013
  • Doi Number: 10.1016/j.physd.2013.06.010
  • Journal Name: PHYSICA D-NONLINEAR PHENOMENA
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.159-175
  • Keywords: Swarms, Multi-agent dynamic systems, Multi-robot systems, Multi-particle systems, Group dynamics, Lagrangian dynamics, STABILITY ANALYSIS, ARTIFICIAL POTENTIALS, MULTIAGENT SYSTEMS, COLLECTIVE MOTION, FLOCKING, COORDINATION, AGGREGATION, ALGORITHMS, DISCRETE, DISTANCE

Abstract

In this article a Lagrangian dynamics based approach for modeling swarm dynamics is presented. The approach is based on energy and is alternative to the commonly used Newtonian dynamics, which is based on forces. For that purpose first the concept of biological potential energy is introduced. Various components of the biological potential energy such as swarming potential energy, environmental potential energy, and predator potential energy are also introduced and example kernel functions discussed. Simple illustrative numerical simulations are also provided. (C) 2013 Elsevier B.V. All rights reserved.