Reversals in the large-scale αΩ-dynamo with memory

Feschenko, L. K.; Vodinchar, Gleb

doi:10.5194/npg-22-361-2015

Cited by 11 publications

(9 citation statements)

References 31 publications

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“…The slow amplitudes of such magnetic-temperature oscillations will obey the Lorentz-like dynamical system if we exclude fast changes by averaging over high frequency oscillations. Another way to obtian the equations for a low-mode dynamo is the Galerkin's method [26][27][28][29]. But this method has a harmonic number selection problem that cannot be solved without a general relaxation approach.…”

Section: Three Regimes Of Convection and Oscillationsmentioning

confidence: 99%

“…Only in this case, the kinematic approximation for dynamo problem may be used. This is not applicable for solar activity but may be used for planetary dynamo [26][27][28][29].…”

Section: Three Regimes Of Convection and Oscillationsmentioning

confidence: 99%

“…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%

See 2 more Smart Citations

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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Section: Three Regimes Of Convection and Oscillationsmentioning

confidence: 99%

“…Only in this case, the kinematic approximation for dynamo problem may be used. This is not applicable for solar activity but may be used for planetary dynamo [26][27][28][29].…”

Section: Three Regimes Of Convection and Oscillationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Universal dynamo paradigm for solar activity, Higgs fields and disasters

Шевцов

2021

EPJ Web Conf.

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“…The consideration of memory in low-mode dynamo models can affect essentially the dynamic regimes. For instance, the introduction of memory into Rickitake two-disc dynamo leads to the emergence of hyperchaotic oscillations [17]; non-Markovian fluctuations of α-effect intensity lead to power distributions of polarity intervals and realistic fractal dimension of polarity scales [18].…”

Section: Introductionmentioning

confidence: 99%

Hereditary Oscillator Associated with the Model of a Large-Scale αω-Dynamo

Vodinchar

2020

Mathematics

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Cosmic magnetic fields possess complex time dynamics. They are characterized by abrupt polarity changes (reversals), fluctuations of fixed polarity, bursts and attenuations. These dynamic conditions can replace each other, including both regular and chaotic components. Memory in dynamo systems manifests itself in a feedback mechanism when a strong magnetic field begins to change the properties of turbulent flows. A hereditary oscillator can be the simplest model of such complex oscillatory systems with memory. The article suggests the construction of such oscillator by means of two-mode approximation of magnetic field components in the αω-dynamo model. The hereditary member describes the suppression of a field turbulent generator by magnetic helicity and determines the shape of oscillator potential. The article describes the implicit difference scheme for numerical research of oscillator. It also describes the results of numerical simulation for two cases—instantaneous feedback and delay in feedback. The results of simulation are interpreted in terms of oscillator theory. It is shown that the observed dynamic regimes in the model go well with the change of potential shape.

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“…In addition, the full equations contain a lot of parameters, which estimations differ by several orders, or unknow. Therefore, using simple low-dimensional dynamical systems are trying to explain the physical cause, features, the most important properties of this phenomenon, for example [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Reversals of the Magnetic Field in one low-dimensionalαΩ-dynamo model

2016

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Abstract. Described low-dimensional model, that implements the various known regimes of cosmic dynamo systems, in particular, the various regimes of reversals. The source of regular reversals in the model is its internal dynamics. Violation of this cyclicality, failures in the a dynamo, the occurrence regime irregularity reversals caused by chaotic fluctuations in the parameters. This fluctuations are interpreted as the result of spontaneous coherent addition of the higher modes. The simplicity of the model allows you to easily modify it for various celestial bodies.

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Reversals in the large-scale αΩ-dynamo with memory

Cited by 11 publications

References 31 publications

Universal dynamo paradigm for solar activity, Higgs fields and disasters

Universal dynamo paradigm for solar activity, Higgs fields and disasters

Hereditary Oscillator Associated with the Model of a Large-Scale αω-Dynamo

Reversals of the Magnetic Field in one low-dimensionalαΩ-dynamo model

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