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Evolution of the magnetic field in spatially inhomogeneous axion structures

Theoretical and mathematical physics, 2024-03, Vol.218 (3), p.515-529

2024

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Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence

Theoretical and mathematical physics, 2021-11, Vol.209 (2), p.1620-1632

Akhmet’ev, P. M.

2021

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Magnetic helicity flux for mean magnetic field equations

Theoretical and mathematical physics, 2020-07, Vol.204 (1), p.947-956

Akhmet’ev, P. M.

2020

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Knot Invariants in Geodesic Flows

Proceedings of the Steklov Institute of Mathematics, 2020, Vol.308 (1), p.42-55

Akhmet’ev, P. M.

2020

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Determination of the Orientation of an Artificial Satellite from Magnetic Field Data in Orbit

Geomagnetism and Aeronomy, 2020-05, Vol.60 (3), p.289-291

2020

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On the Number of the Classes of Topological Conjugacy of Pixton Diffeomorphisms

Qualitative theory of dynamical systems, 2021-11, Vol.20 (3), Article 76

2021

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On Properties of Cobordism Groups of Skew-Framed Immersions

Journal of mathematical sciences (New York, N.Y.), 2020-08, Vol.248 (5), p.524-543

2020

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Classification of Harmonic Functions in the Exterior of a Unit Sphere and Its Application to the Description of the External Magnetic Field of the Earth

Geomagnetism and Aeronomy, 2019-11, Vol.59 (6), p.752-760

2019

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Higher helicity invariants and solar dynamo

Geomagnetism and Aeronomy, 2017, Vol.57 (1), p.113-118

2017

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On combinatorial properties of a higher asymptotic ergodic invariant of magnetic lines

Journal of physics. Conference series, 2014-10, Vol.544 (1), p.12015-11

Akhmet'ev, P M

2014

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Minimum quadratic helicity states

Journal of plasma physics, 2018-12, Vol.84 (6), Article 775840601

2018

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Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence: M5-invariant of magnetic lines and its combinatorial formula

Journal of geometry and physics, 2022-08, Vol.178, p.104583, Article 104583

Akhmet'ev, P.M.

2022

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Quadratic helicities and the energy of magnetic fields

Proceedings of the Steklov Institute of Mathematics, 2012-10, Vol.278 (1), p.10-21

Akhmet’ev, P. M.

2012

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Invariants of magnetic lines for Yang-Mills solutions

Journal of geometry and physics, 2024-04, Vol.198, p.105102, Article 105102

2024

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Hypermagnetic helicity flux in the nuclei of a new phase in the electroweak phase transition

JETP letters, 2010-03, Vol.91 (5), p.215-218

2010

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Local Coefficients and the Herbert Formula

Journal of mathematical sciences (New York, N.Y.), 2020-08, Vol.248 (6), p.719-727

2020

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Arf invariants of codimension one in a Wall group of the dihedral group

Sbornik. Mathematics, 2023, Vol.214 (5), p.613-626

2023

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Geometric approach to stable homotopy groups of spheres. The Adams–Hopf invariants

Journal of mathematical sciences (New York, N.Y.), 2009-06, Vol.159 (6), p.753-760

Akhmet’ev, P. M.

2009

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Geometric approach to stable homotopy groups of spheres. Kervaire invariants. II

Journal of mathematical sciences (New York, N.Y.), 2009-06, Vol.159 (6), p.761-776

Akhmet’ev, P. M.

2009

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Embedding of compacta, stable homotopy groups of spheres, and singularity theory

Russian mathematical surveys, 2000-06, Vol.55 (3), p.405-462

Akhmet'ev, P M

2000

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Some Algebraic Properties of Cerf Diagrams of One-Parameter Function Families

Functional analysis and its applications, 2005-07, Vol.39 (3), p.165-174

2005

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

Arnold mathematical journal, 2020-06, Vol.6 (2), p.199-211

2020

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Integral formula for a generalized Sato-Levine invariant in magnetic hydrodynamics

Mathematical Notes, 2009-04, Vol.85 (3-4), p.503-514

2009

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Remark on the dissipation of the magnetic helicity integral

Theoretical and mathematical physics, 2009, Vol.158 (1), p.125-134

2009

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A Remark on the Hopf invariant for Spherical 4-braids

Journal of physical mathematics, 2014, Vol.5

2014

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Evolution of the magnetic field in spatially inhomogeneous axion structures

Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence

Magnetic helicity flux for mean magnetic field equations

Knot Invariants in Geodesic Flows

Determination of the Orientation of an Artificial Satellite from Magnetic Field Data in Orbit

On the Number of the Classes of Topological Conjugacy of Pixton Diffeomorphisms

On Properties of Cobordism Groups of Skew-Framed Immersions

Classification of Harmonic Functions in the Exterior of a Unit Sphere and Its Application to the Description of the External Magnetic Field of the Earth

Higher helicity invariants and solar dynamo

On combinatorial properties of a higher asymptotic ergodic invariant of magnetic lines

Minimum quadratic helicity states

Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence: M5-invariant of magnetic lines and its combinatorial formula

Quadratic helicities and the energy of magnetic fields

Invariants of magnetic lines for Yang-Mills solutions

Hypermagnetic helicity flux in the nuclei of a new phase in the electroweak phase transition

Local Coefficients and the Herbert Formula

Arf invariants of codimension one in a Wall group of the dihedral group

Geometric approach to stable homotopy groups of spheres. The Adams–Hopf invariants

Geometric approach to stable homotopy groups of spheres. Kervaire invariants. II

Embedding of compacta, stable homotopy groups of spheres, and singularity theory

Some Algebraic Properties of Cerf Diagrams of One-Parameter Function Families

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

Integral formula for a generalized Sato-Levine invariant in magnetic hydrodynamics

Remark on the dissipation of the magnetic helicity integral

A Remark on the Hopf invariant for Spherical 4-braids

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