Evgeniy Zhuzhoma
ul. Bolshaya Pecherskaya 25/12, Nizhni Novgorod, 603005, Russia
National research University “Higher school of Economics”
Publications:
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Zhuzhoma E. V., Medvedev V. S., Isaenkova N. V.
On the topological structure of the magnetic field of regions of the photosphere
2017, Vol. 13, No. 3, pp. 399-412
Abstract
In this paper, using methods of Morse – Smale dynamical systems, we consider the topological
structure of the magnetic field of regions of the photosphere for a point-charge model. For an
arbitrary number of charges (regardless of their location), without assuming a potentiality of
the field $\boldsymbol{\vec B}$ (and hence without applying specific formulas), we give estimates that connect the
numbers of charges of a certain type with the numbers of null-points. For the boundary estimates,
we describe the topological structure of the magnetic field. We present a bifurcation of the birth
of a large number of separators.
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Grines V. Z., Gurevich E. Y., Zhuzhoma E. V., Zinina S. K.
Heteroclinic curves of Morse – Smale cascades and separators in magnetic field of plasma
2014, Vol. 10, No. 4, pp. 427-438
Abstract
We obtain properties of three-dimensional phase space and dynamics of Morse–Smale diffeomorphism that led to existence of at least one heteroclinical curve in non-wandering set of the diffeomorphism. We apply this result to solve a problem of existence of separators in magnetic field of plasma.
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