1. Algebraic integrability for minimum energy curves
- Creator:
- Yudin, Ivan and Silva Leite, Fátima
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Darboux polynomials, drag power, Euler-Lagrange equations, grading, integrability, and vector fields
- Language:
- English
- Description:
- This paper deals with integrability issues of the Euler-Lagrange equations associated to a variational problem, where the energy function depends on acceleration and drag. Although the motivation came from applications to path planning of underwater robot manipulators, the approach is rather theoretical and the main difficulties result from the fact that the power needed to push an object through a fluid increases as the cube of its speed.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public