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23 August 2019
The Campaign Against Bullying
Educators do not always deal with student aggression in the most effective manner. Sometimes teachers resort to severe and unsystematic methods that only make the bullying worse. According to researchers of the HSE Laboratory for Prevention of Asocial Behavior, the problem requires a comprehensive approach: aggression prevention programmes need to be incorporated into educational policy, and, in turn, schools need to foster supportive psychological climate and trust between teachers and students.
23 August 2019
Is Tsvetaeva Really to Blame?
Sometimes, minor errors take on major importance and actuallyinfluence how we perceive literaryclassics. A new collection of verse by Marina Tsvetaeva from Azbuka publishers provides a perfect example of this. The cover bears a photo of another woman that was taken from the Internet. Svetlana Saltanova, IQ.HSE portal editor and author of a book on Tsvetaeva, explains how the ‘fake’ came to be, and why readers no longer recognize or understand the real poet.
19 August 2019
Brain in Space: What Happens to the Human Nervous System in Weightlessness
While Roscosmos is discussing future manned flights to Mars, NASA plans to open the International Space Station for commercial tourism, and SpaceX is testing its Starship Mars prototype, scientists are seriously concerned about the impact of prolonged stay in space on the human body. While the effects of weightlessness on bones, muscles and the vestibular system are well known, how the human brain copes with microgravity has yet to be fully examined. IQ.HSE has compiled the latest research on this topic.

Book chapter

Граф Пейкшото диффеоморфизмов Морса–Смейла на многообразиях размерности большей трех

Гринес В. З., Гуревич Е. Я., Медведев В. С.
Language: Russian
Text on another site
Keywords: топологическая классификациякаскад Морса-Смейла

In book

Дифференциальные уравнения и динамические системы. Сборник статей
Edited by: Е. Ф. Мищенко Т. 261. М.: МАИК, 2008.
Similar publications
О классификации диффеоморфизмов Морса–Смейла с одномерным множеством неустойчивых сепаратрис
Гринес В. З., Гуревич Е. Я., Медведев В. С. В кн.: Дифференциальные уравнения и динамические системы. Сборник статей. Т. 270. М.: МАИК, 2010.
Added: Sep 29, 2014
An open set of structurally unstable families of vector fields in the two-sphere
Ilyashenko Y., Kudryashov Y., Schurov I. arxiv.org. math. Cornell University, 2015. No. 1506.06797.
This is the first part of a two parts paper dedicated to global bifurcations in the plane. In this part we construct an open set of three parameter families whose topological classification has a numerical invariant that may take an arbitrary positive value. In the second part we construct an open set of six parameter families whose topological classification has a functional invariant. Any germ of a monotonically increasing function may be realized as this invariant. Here "families" are "families of vector fields in the two-sphere".
Added: Jun 24, 2015
О топологической классификации градиентно-подобных потоков без гетероклинических пересечений посредством энергетической функции
Гуревич Е. Я., Сахаров А. Н., Трегубова Е. В. Журнал Средневолжского математического общества. 2013. Т. 15. № 4. С. 91-100.
Added: Oct 14, 2014
Реализация изотопических классов градиентно-подобных диффеоморфизмов тора
Гуревич Е. Я., Сяинова Д. Т. Журнал Средневолжского математического общества. 2014. Т. 16. № 2. С. 46-56.

We specify S. Batterson's results of [7] where classes of isotopic maps on torus contained Morse-Smale diffeomorphisms are described. Following to ideas of paper [7], we describe isotopic classes, contained gradient-like diffeomorphisms, present all admitted types of periodic data of such diffeomorphisms and provide an algorithm of realization of each type of periodic data.

Added: Oct 14, 2014
О топологии многообразий, допускающих градиентно-подобные потоки с заданным неблуждающим множеством
Гринес В. З., Жужома Е. В., Медведев В. С. и др. Математические труды. 2018. Т. 21. № 2. С. 163-180.

In this paper, we study the relationship between the structure of the set of equilibrium states of a gradient-like flow and the topology of a carrier manifold of dimension 4 and higher. We introduce a class of manifolds admitting a generalized Heegaard decomposition. It is established that if a non-wandering set of a gradient-like flow consists of exactly $ \ mu $ nodal and $ \ nu $ saddle equilibrium states of the Morse indices $ 1 $ and $ (n-1) $, then its carrying manifold admits a generalized Heegaard decomposition of genus $ g = \ frac {\ nu- \ mu 2} {2} $. An algorithm is given for constructing gradient-like flows on closed manifolds of dimension $ n \ geq 3 $ with respect to a given number of nodal equilibrium states and given numbers of saddle equilibrium states for various Morse indices.

Added: May 27, 2018