A mathematical model, implementation and study of a swarm system

Varghese, B. and McKee, G. T. (2010) A mathematical model, implementation and study of a swarm system. Robotics and Autonomous Systems, 58 (3). pp. 287-294. ISSN 0921-8890 doi: 10.1016/j.robot.2009.08.006

Abstract/Summary

The work reported in this paper is motivated towards the development of a mathematical model for swarm systems based on macroscopic primitives. A pattern formation and transformation model is proposed. The pattern transformation model comprises two general methods for pattern transformation, namely a macroscopic transformation method and a mathematical transformation method. The problem of transformation is formally expressed and four special cases of transformation are considered. Simulations to confirm the feasibility of the proposed models and transformation methods are presented. Comparison between the two transformation methods is also reported.