Dispersion of the Arnold’s Asymptotic Ergodic Hopf Invariant and a Formula for Its Calculation-Reference-Cited by-同舟云学术

Dispersion of the Arnold’s Asymptotic Ergodic Hopf Invariant and a Formula for Its Calculation

Published:2020-06 Issue:2 Volume:6 Page:199-211
ISSN:2199-6792
Container-title:Arnold Mathematical Journal
language:en
Short-container-title:Arnold Math J.

Author:

Akhmet’ev P. M.^ORCID,Vyugin I. V.

Funder

Russian Foundation for Basic Research

Russian Science Support Foundation

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s40598-020-00144-w.pdf

Reference9 articles.

1. Akhmet’ev, P.M., Candelaresi, S., Smirnov, A.Y.: Calculations for the practical applications of quadratic helicity in MHD. Phys. Plasmas 24, 102128 (2017)

2. Akhmet’ev, P.M.: Quadratic helicities and the energy of magnetic fields. Proc. Steklov Inst. Math. 278, 10–21 (2012)

3. Arnold, V.I.: The asymptotic Hopf invariant and its applications. In: Proceedings of Summer School in Differential Equations, 1973 (1974), Erevan (in Russian)

4. Sel. Math. Sov., vol. 5(327-345) (1986)

5. Arnold, V., Khesin, B.: Topological Methods in Hydrodynamic. Appl. Math. Sci. 125, (2013)

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