Topological quantification of the "anemone" (branching) solar flares

Physica D: Nonlinear Phenomena. 2022. Vol. 436. Article 133320.

Evgeny V. Zhuzhoma, Vladislav S. Medvedev, Dumin Y., Somov B.

The so-called ``anemone'' solar flares are an interesting type
of the space plasma phenomena, where multiple null points of the magnetic
field are connected with each other and with the magnetic sources by
the separators, thereby producing the complex branching configurations.
Here, using the methods of dynamical systems and Morse--Smale theory,
we derive a few universal topological relations between the numbers of
the null points and sources of various kinds with arbitrary arrangement
in the above-mentioned structures.
Such relations can be a valuable tool both for a quantification of
the already-observed anemone flares and for a prediction of the new ones
in complex magnetic configurations. 

Keywords: dynamical systems, Magnetic-field topology, Morse--Smale theory

Publication based on the results of: Теория динамических систем и ее приложения (2023)