Sub-Riemannian geometry and swimming at low Reynolds number: the Copepod case

DOI10.1051/cocv/2017071zbMath1434.70061OpenAlexW2610115477WikidataQ115334433 ScholiaQ115334433MaRDI QIDQ5107912

A. Nolot, Piernicola Bettiol, Jérémy Rouot, Bernard Bonnard

Publication date: 29 April 2020

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01442880v3/file/copepod%20%282%29.pdf

zbMATH Keywords

Stokes flowsub-Riemannian geometryoptimal control theoryabnormal closed geodesics

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control of mechanical systems (70Q05) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (2)

Optimal Strokes at Low Reynolds Number: A Geometric and Numerical Study of Copepod and Purcell Swimmers ⋮ Sub-Riemannian geometry, Hamiltonian dynamics, micro-swimmers, copepod nauplii and copepod robot

Cites Work

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• The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry
• Isoholonomic problems and some applications
• The tangent space in sub-Riemannian geometry
• Singular trajectories and their role in control theory
• On the Dido problem and plane isoperimetric problems
• Small sub-Riemannian balls on \(\mathbf R^3\)
• Necessary and Sufficient Conditions for Local Optimality of a Periodic Process
• Second order optimality conditions in the smooth case and applications in optimal control
• Optimal Strokes at Low Reynolds Number: A Geometric and Numerical Study of Copepod and Purcell Swimmers
• Optimal strokes for driftless swimmers: A general geometric approach
• Optimal control

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