Published July 30, 2010
| Version v1
Journal article
Variational problems for plane curves in centro-affine geometry
Creators
- 1. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10100, Torino (Italy)
Description
In this paper closed extremals of variational problems defined by quadratic polynomials in the centro-affine curvature are considered. The closure of the trajectories is discussed and the existence of countably many closed critical curves is proven. The geometrical properties of closed trajectories are analyzed by numerical methods.
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/43/30/305206Additional details
Identifiers
- DOI
- 10.1088/1751-8113/43/30/305206;
- PII
- S1751-8113(10)40848-3;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 43
- Journal Issue
- 30
- Journal Page Range
- [24 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42037088
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ALGORITHMS; GEOMETRY; POLYNOMIALS; TRAJECTORIES; VARIATIONAL METHODS
- Descriptors DEC
- CALCULATION METHODS; FUNCTIONS; MATHEMATICAL LOGIC; MATHEMATICS