Current results on the asymptotics of dynamo models

Попова, Е. П.

doi:10.3367/ufnr.2016.02.037727

Cited by 4 publications

(2 citation statements)

References 126 publications

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“…The set of P,T V 2 4 , P,T V 3 4 and P,T B 0 1 is two disk dynamo [2] and so on. In thin convective layer as on the Sun, number of modes in the Dynamo wave is large and WKB approximation may be used [3]. Fist the solar activity was considered as the Van der Pol oscillator [4].…”

Section: Magnetic Dynamo As Atom In the Resonatormentioning

confidence: 99%

Fluctuations and nonlinear oscillations in complex natural systems

Шевцов

Shevtsova

2018

E3S Web Conf.

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Resonance propagation of radiation in the ionosphere, solar activity, magnetic dynamos, lightning discharges, fracture processes, plastic deformations, seismicity, turbulence and hydrochemical variability are considered as examples of complex dynamical systems in which similar fluctuation and nonlinear oscillation regimes arise. Collective effects in the systems behavior and chaotic oscillations in individual subsystems, the ratio of random and deterministic, the analysis of variability factors and the change of dynamic regimes, the scaling relation between the elements of the system and the interaction of scales are discussed. It is shown that consolidation and branching in disruptions or thunderstorm activity is the transfer of disturbances to up and down of cascades as in turbulence, and the alpha-omega effects of the magnetic dynamo are the same cascade processes, but in the presence of an external magnetic field or rotation that removes the degeneracy in the system by directions. Particular attention is paid to natural generators and oscillation amplifiers, in which the Lorentz triplet plays the role of a universal model of a nonlinear oscillator. *

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Section: Magnetic Dynamo As Atom In the Resonatormentioning

confidence: 99%

Fluctuations and nonlinear oscillations in complex natural systems

Шевцов

Shevtsova

2018

E3S Web Conf.

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“…The idea of a relaxation generator in one form or another was used to create the theory of a magnetic dynamo [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] and see additionally the reviews [23][24][25], but there is no convection in the early models. The low-mode models with convection have a particular place in this theory [26][27][28][29], but only the representation of the dynamo in the form of the multidimensional Lienard oscillator [1] defines correctly the symmetry of the system and opens up new ways in the development of nonlinear physics thanks to the universality and productivity of the new dynamo paradigm and the specificity of relaxation oscillations.…”

Section: Introductionmentioning

confidence: 99%

Universal dynamo paradigm for solar activity, Higgs fields and disasters

Шевцов

2021

EPJ Web Conf.

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There is still a problem of a correct and accurate description of the dynamo and its uses in various fields of physics. To solve this problem, a special and universal representation of dynamo is proposed. The magnetic induction equation of dynamo is presented in the form of a Lienard relaxation oscillator with cubic nonlinear restoring force corresponding to the Mexican hat or champagne bottle potential which is used to determine the Higgs fields which are considered here in its general sense. Universal dynamo paradigm in field theory which can be used to describe disasters is proposed. Using solar activity as an example, it is shown how a dynamo induces a magnetic analogue of the Higgs fields with a broken symmetry of the magnetic field. Various dynamo modes are considered and different dynamo numbers are estimated. The dynamo effect can be used in field theory as an alternative to spontaneous symmetry breaking. Opportunities for the promotion of the new dynamo paradigm are discussed.

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The Two-Layer Geodynamo Model

Reshetnyak

2018

Dokl. Earth Sc.

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Current results on the asymptotics of dynamo models

Cited by 4 publications

References 126 publications

Fluctuations and nonlinear oscillations in complex natural systems

Fluctuations and nonlinear oscillations in complex natural systems

Universal dynamo paradigm for solar activity, Higgs fields and disasters

The Two-Layer Geodynamo Model

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