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Pàgina inicial > Articles > Articles publicats > On the nonintegrability of magnetic field lines |
Data: | 2013 |
Resum: | We show that a magnetic field created by a simple planar configuration of three rectilinear wires may not be holomorphically integrable when considered as a vector field in C3. In particular the method of the proof gives an easy way of showing that the corresponding real vector field does not admit a real polynomial first integral. This is also an alternative way of contradicting the Stefanescu conjecture in the polynomial setting. |
Nota: | Agraïments: The second author is partially supported by FCT through CAMGDS, Lisbon. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Analytic integrability ; Stefanescu's conjecture ; Magnetic field |
Publicat a: | Physica D. Nonlinear phenomena, Vol. 251 (2013) , p. 60-62, ISSN 0167-2789 |
Postprint 5 p, 253.1 KB |