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Some qualitative results on magnetic vector fields


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Opened Access Some qualitative results on magnetic vector fields
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Author: Peralta Salas, Daniel
Date: 2007-09
Published in: XX Congreso de Ecuaciones Diferenciales y Aplicaciones. Sevilla, 24-28 de septiembre de 2007
Document type: Presentation
Abstract: In this work I will study magnetic vector fields generated by thin current lines. The existence of first integrals in some symmetric situations as well as their effect on particles motion will be examined. Some examples of current distributions giving rise to quasi-periodic and chaotic magnetic lines will be shown. Finally some results on the existence of periodic orbits and polynomial first integrals of magnetic fields will be provided.
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