{"ID":2846215,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.02535","arxiv_id":"2511.02535","title":"Non-Locally Controllable but Trackable Magnetic Head Flagellated Swimmer","abstract":"Unlike macroscopic swimmers, microswimmers operate in a low-Reynolds-number regime dominated by viscous forces. This paper investigates the controllability of a magnetic microswimmer composed of a spherical magnetic head and an elastic, non-magnetic flagellum. The swimmer evolves in a Stokes flow and is modeled using the resistive force theory. We prove that, under planar motion, the system is not small-time locally controllable and numerically identify regions that remain inaccessible. Nevertheless, simulations show that trajectory tracking can still be achieved via Bayesian optimization, though it requires large-amplitude transverse deformations.","short_abstract":"Unlike macroscopic swimmers, microswimmers operate in a low-Reynolds-number regime dominated by viscous forces. This paper investigates the controllability of a magnetic microswimmer composed of a spherical magnetic head and an elastic, non-magnetic flagellum. The swimmer evolves in a Stokes flow and is modeled using t...","url_abs":"https://arxiv.org/abs/2511.02535","url_pdf":"https://arxiv.org/pdf/2511.02535v1","authors":"[\"Lucas Palazzolo\",\"Mickaël Binois\",\"Laëtitia Giraldi\"]","published":"2025-11-04T12:42:45Z","proceeding":"math.OC","tasks":"[\"math.OC\",\"cond-mat.soft\"]","methods":"[]","has_code":false}