On the topology of the potential magnetic field
M.L. Kolomiec1, A.N. Sakharov2, E.V. Tregubova3
| Annotation | The geometry of the magnetic fields in plasma plays an important role in understanding a number of fundamental problems in physics. lt is clear that the magnetic field like any vector field defines a dynamical system on some three-dimensional manifold. This idea is used by physicists for a long time (since the middle of the last century). This work is devoted to the application of methods dynamical systems to description of the patterns of magnetic fields in the solar corona. Such models correspond to a gradient-like dynamical systems for which there is a complete topological classification. It follows that magnetic field with four springs can have countable number of structurally stable configurations of the field geometry. |
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| Keywords | singular points of the field, magnetic field lines, sources, sinks, separatrix, separators, heteroclinic curves |
1Assistant professor of department of higher mathematic and theoretical mechanics, Nizhny Novgorod State Agricultural Academy, Nizhny Novgorod; math@agri.sci-nnov.ru
2Assistant professor of department of higher mathematic and theoretical mechanics, Nizhny Novgorod State Agricultural Academy, Nizhny Novgorod; ansakharov2008@yandex.ru
3Assistant professor of department of higher mathematic and theoretical mechanics, Nizhny Novgorod State Agricultural Academy, Nizhny Novgorod; t2733792@yandex.ru
Citation: M.L. Kolomiec, A.N. Sakharov, E.V. Tregubova, "[On the topology of the potential magnetic field]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:1 (2016) 31–44 (In Russian)
