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Related papers: Local Controllability of the Two-Link Magneto-Elas…

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- In this paper, we focus on a variant of a 3-link magnetic microswimmer which consists of three rigid magnetized segments connected by two torsional springs. In particular, we assume that one of the springs is twisted so that the swimmer…

Optimization and Control · Mathematics 2016-11-04 Laetitia Giraldi , Pierre Lissy , Clément Moreau , Jean-Baptiste Pomet

In the above mentioned note (<hal-01145537>, <arXiv:1506.05918>, published in IEEE Trans. Autom. Cont., 2017), the first and fourth authors proved a local controllability result around the straight configuration for a class of…

Optimization and Control · Mathematics 2018-08-06 Laetitia Giraldi , Pierre Lissy , Clément Moreau , Jean-Baptiste Pomet

When swimming at low Reynolds numbers, inertial effects are negligible and reciprocal movements cannot induce net motion. Instead, symmetry breaking is necessary to achieve net propulsion. Directed swimming can be supported by magnetic…

Soft Condensed Matter · Physics 2026-03-31 Theo Lequy , Andreas M. Menzel

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,…

Optimization and Control · Mathematics 2025-11-05 Lucas Palazzolo , Mickaël Binois , Laëtitia Giraldi

With the continuing rapid development of artificial microrobots and active particles, questions of microswimmer guidance and control are becoming ever more relevant and prevalent. In both the applications and theoretical study of such…

Soft Condensed Matter · Physics 2021-06-03 Clément Moreau , Kenta Ishimoto , Eamonn A. Gaffney , Benjamin J. Walker

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…

Dynamical Systems · Mathematics 2016-11-08 François Alouges , Antonio Desimone , Laetitia Giraldi , Marta Zoppello

Micro-nano-robotic swimmers have promising potential for future biomedical tasks such as targeted drug delivery and minimally-invasive diagnosis. An efficient method for controlled actuation of such nano-swimmers is applying a rotating…

Fluid Dynamics · Physics 2026-05-12 Zvi Chapnik , Yizhar Or

Artificial micro-swimmers actuated by external magnetic fields hold significant promise for targeted biomedical applications, including drug delivery and micro-robot-assisted therapy. However, their dynamics remain challenging to control…

Physics governing the locomotion of microorganisms and other microsystems is dominated by viscous damping. An effective swimming strategy involves the non-reciprocal and periodic deformations of the considered body. Here, we show that a…

Swimming micro-organisms such as flagellated bacteria and sperm cells have fascinating locomotion capabilities. Inspired by their natural motion, there is an ongoing effort to develop artificial robotic nano-swimmers for potential in-body…

Fluid Dynamics · Physics 2023-05-31 Jithu Paul , Yizhar Or , Oleg Gendelman

Micro-scale swimming robots have been envisaged for many medical applications such as targeted drug delivery, where the microrobot will be expected to navigate in a fluid through channels carrying a payload. Alternatively, in many cases,…

Soft Condensed Matter · Physics 2019-09-13 Jake Buzhardt , Phanindra Tallapragada

The demonstrations of micro-robotic systems in minimally invasive medicine include an individual or a swarm of microswimmer of various origin, artificial or biohybrid, often with an external computer-controlled electromagnetic field. There…

Robotics · Computer Science 2020-04-02 Ahmet Fatih Tabak

Artificial microswimmers are a new technology with promising microfluidics and biomedical applications, such as directed cargo transport, microscale assembly, and targeted drug delivery. A fundamental barrier to realising this potential is…

Fluid Dynamics · Physics 2018-06-27 Thomas D. Montenegro-Johnson

Guiding active microswimmers by external fields to requested target locations is a promising strategy to realize complex transport on the microscale. To this end, one possibility consists of attaching the microswimmers to orientable passive…

Fluid Dynamics · Physics 2020-02-19 Abdallah Daddi-Moussa-Ider , Maciej Lisicki , Hartmut Löwen , Andreas M. Menzel

In this article, we consider a swimmer (i.e. a self-deformable body) immersed in a fluid, the flow of which is governed by the stationary Stokes equations. This model is relevant for studying the locomotion of microorganisms or micro robots…

Analysis of PDEs · Mathematics 2012-03-19 Jérôme Lohéac , Alexandre Munnier

This study investigates the dynamics and controllability of a Purcell three-link microswimmer equipped with passive elastic torsional coils at its joints. By controlling the spontaneous curvature, we analyse the swimmers motion using both…

Mathematical Physics · Physics 2025-02-26 Rossella Attanasi , Marta Zoppello , Gaetano Napoli

We revisit the dynamics of a permanent-magnetic rigid body submitted to a spatially-uniform steadily-rotating magnetic field in Stokes flow. We propose an analytical parameterisation of the full set of equilibria depending on two key…

Dynamical Systems · Mathematics 2020-02-04 Pauline Ruegg-Reymond , Thomas Lessinnes

Synthetic microswimmers mimicking biological movements at the microscale have been developed in recent years. Actuating helical magnetic materials with a homogeneous rotating magnetic field is one of the most widespread techniques for…

Soft Condensed Matter · Physics 2019-03-27 Felix Bachmann Klaas Bente , Agnese Codutti , Damien Faivre

Microrobots have the potential to impact many areas such as microsurgery, micromanipulation and minimally invasive sensing. Due to their small size, microrobots swim in a regime that is governed by low Reynolds number hydrodynamics. In this…

Systems and Control · Computer Science 2018-10-29 Jaskaran Grover , Daniel Vedova , Nalini Jain , Patrick Vedova , Matthew Travers , Howie Choset

Magnetotaxis is a well known phenomenon in swimming microorganisms which sense magnetic fields e.g. by incorporating crystalline magnetosomes. In designing artificial active matter with tunable dynamics, external magnetic fields can provide…

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