Magnetic dynamics around electrical circuits. (English) Zbl 1039.78501
Tsagas, Grigorios (ed.), Proceedings of the workshop on global analysis, differential geometry and Lie algebras, Aristotle University of Thessaloniki, Greece, December 16–18, 1995. Bucharest: Geometry Balkan Press (ISBN 973-97454-1-5/pbk). BSG Proc. 1, 109-122 (1997).
Summary: In the first section the authors specify some properties of the Biot-Savart-Laplace integral along curves. The second section reports on the results of Sabba Stefănescu regarding the magnetic fields produced by piecewise rectilinear electrical circuits. Most relevant for the present discussion are the examples of magnetic fields with homoclinic behaviour, magnetic fields with open lines and examples of algebraic magnetic surfaces. In the third section the authors describe a new magnetic dynamics around a spire of a coil.
For the entire collection see [Zbl 0892.00042].
For the entire collection see [Zbl 0892.00042].
MSC:
| 78A30 | Electro- and magnetostatics |
| 53C22 | Geodesics in global differential geometry |
| 68U05 | Computer graphics; computational geometry (digital and algorithmic aspects) |
| 70D10 | Lagrangian dynamics (MSC1991) |
