Purcell magneto-elastic swimmer controlled by an external magnetic field
Dynamical Systems
2016-11-08 v1 Optimization and Control
Abstract
This paper focuses on the mechanism of propulsion of a Purcell swimmer whose segments are magnetized and react to an external magnetic field applied into the fluid. By an asymptotic analysis, we prove that it is possible to steer the swimmer along a chosen direction when the control functions are prescribed as an oscillating field. Moreover, we discuss what are the main obstructions to overcome in order to get classical controllability result for this system.
Keywords
Cite
@article{arxiv.1611.02020,
title = {Purcell magneto-elastic swimmer controlled by an external magnetic field},
author = {François Alouges and Antonio Desimone and Laetitia Giraldi and Marta Zoppello},
journal= {arXiv preprint arXiv:1611.02020},
year = {2016}
}