Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2014, Volume 10, Number 4, Pages 427–438 (Mi nd454)  
This article is cited in 9 scientific papers (total in 9 papers)

Heteroclinic curves of Morse–Smale cascades and separators in magnetic field of plasma

VyacheslavZ. Grinesa, Elena Ya. Gurevichb, Evgenii V. Zhuzhomab, Svetlana Kh. Zininac

a N. I. Lobachevskii Nizhnii Novgorod State University, Gagarina pr. 23, Nizhnii Novgorod, 603950, Russia
b National Research University Higher School of Economics, Bolshaya Pecherskaya 25/12, Nizhnii Novgorod, 603155, Russia
c N. P. Ogarev State University of Mordovia, Bolshevistskaya 68, Saransk, 430005, Russia
Full-text PDF (394 kB) Citations (9)
References:
PDF
HTML
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.
Keywords: Morse–Smale cascades, heteroclinic curves, mapping torus, locally trivial bundle, separators of magnetic field.
Received: 24.11.2014
Revised: 04.12.2014
Document Type: Article
UDC: 517.938, 514.83
MSC: 37E30
Language: Russian
Citation: VyacheslavZ. Grines, Elena Ya. Gurevich, Evgenii V. Zhuzhoma, Svetlana Kh. Zinina, “Heteroclinic curves of Morse–Smale cascades and separators in magnetic field of plasma”, Nelin. Dinam., 10:4 (2014), 427–438
Citation in format AMSBIB
\Bibitem{GriGurZhu14}
\by VyacheslavZ.~Grines, Elena~Ya.~Gurevich, Evgenii~V.~Zhuzhoma, Svetlana~Kh.~Zinina
\paper Heteroclinic curves of Morse--Smale cascades and separators in magnetic field of plasma
\jour Nelin. Dinam.
\yr 2014
\vol 10
\issue 4
\pages 427--438
\mathnet{http://mi.mathnet.ru/nd454}
Linking options:
  • https://www.mathnet.ru/eng/nd454
  • https://www.mathnet.ru/eng/nd/v10/i4/p427
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Нелинейная динамика
    Statistics & downloads:
    Abstract page:511
    Full-text PDF :121
    References:60
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024