Sub-Riemannian geometry, Hamiltonian dynamics, micro-swimmers, copepod nauplii and copepod robot

Sub-Riemannian geometry, Hamiltonian dynamics, micro-swimmers, copepod nauplii and copepod robot

Abstract The objective of this article is to present the seminal concepts and techniques of Sub-Riemannian geometry and Hamiltonian dynamics, complemented by adapted software to analyze the dynamics of the copepod micro-swimmer, where the model of swimming is the slender body approximation for Stoke...

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Bibliographic Details
Main Authors: Bernard Bonnard, Monique Chyba, Jéremy Rouot, Daisuke Takagi
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Pacific Journal of Mathematics for Industry
Subjects:
Geometric optimal control
Sub-Riemannian geometry
Optimality conditions
Direct and indirect numerical methods in optimal control
Micro-swimmers and efficient strokes
Closed geodesics in Riemannian geometry
Online Access:http://link.springer.com/article/10.1186/s40736-018-0036-9

Internet

http://link.springer.com/article/10.1186/s40736-018-0036-9

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