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Magnetic dynamical systems. (English) Zbl 0860.35132

Summary: After describing elementary notions of phase portrait theory and basic plane configurations, the critical elements for a magnetic field generated by different configurations of piecewise rectilinear circuits wandered by currents are studied. The associated magnetic field, the corresponding scalar and vector potentials, and the description of critical point sets, are presented as well.

MSC:

35Q60 PDEs in connection with optics and electromagnetic theory
78A25 Electromagnetic theory (general)
54H20 Topological dynamics (MSC2010)
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