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Context. The standard dynamo model for the solar and stellar magnetic fields is based on the αΩ mechanism, namely, an interplay between differential rotation (the Ω effect) and a mean electromotive force generated by helical turbulent convection flows (the α effect). There are, however, a number of problems with the α effect and αΩ dynamo models. Two of… (More)

The rotational influence on the eddy-diffusivity tensor Dij for anisotropic turbulence fields is considered in order to explain the lithium decay law during the spin-down process of solar-type stars. Rotation proves to be highly effective in the transfer of chemicals through the solar tachocline (beneath the convection zone) which is assumed to contain only… (More)

- Valery V. Pipin
- 1999

This paper suggests a numerical model of the Gleissberg cycle based on a spherical shell dynamo. The formulation of the problem includes a description both of the rotation law and of the hydromagnetic dynamo. The suggested model allows the Gleissberg cycle to be interpreted as resulting from the magnetic feedback on the angular momentum fluxes which… (More)

- G R Udiger, Valery V. Pipin
- 1999

Motivated by new observations of solar surface ow patterns of mesogranulation, theoretical computations of the horizontal divergence-vorticity correlation are presented. Because of its close relation to the helicity in rotating turbulence such observations and discussions are of particular importance for the conventional dynamo theory. For the northern… (More)

- Valery V. Pipin
- 2005

We explore the α effect and the small-scale current helicity, hc = 〈h ′ · rot h〉, for the case of weakly compressible magnetically driven turbulence that is subjected to the differential rotation. No restriction is applied to the amplitude of angular velocity, i.e., the derivations presented are valid for an arbitrary Coriolis number, Ω = 2Ωτcor, though the… (More)

- Valery V. Pipin, M. V. Ragulskaya, Sergei M. Chibisov
- Bulletin of Experimental Biology and Medicine
- 2010

The paper analyzes theoretical models of the adaptive modes of generation and stability of human heart as a nonlinear point source. The analysis encompasses only ECG time-domain dynamics. To solve the general problem of the study of the adaptive changes of the cardiosignal under the action of external periodic force and parametric noise, a new dynamic model… (More)

- Valery V. Pipin
- 1996

The solar torsional oscillations are considered as the response of the Reynolds stress to the time-dependent dynamo-induced magnetic eld. This picture is opposite to the so far accepted idea that it is the large-scale Lorentz force which directly drives the temporal variations of the surface rotation proole. Here, the \magnetic quenching" of the components… (More)

Context. Solar cycles vary in their amplitude and shape. There are several empirical relations between various parameters linking cycle’s shape and amplitude, in particular the Waldmeier relations. Aims. As solar cycle is believed to be a result of the solar dynamo action, these relations require explanation in the framework of this theory. Here we aim to… (More)

Context. Observations show that the photospheric solar magnetic dipole usually does not vanish during the reversal of the solar magnetic field, which occurs in each solar cycle. In contrast, mean-field solar dynamo models predict that the dipole field does become zero. In a recent paper it was suggested that this contradiction could be explained as a… (More)

- Valery V. Pipin
- ArXiv
- 2008

Recently, Jouve et al [2] published the paper that presents the numerical benchmark for the solar dynamo models. Here, I would like to show a way how to get it with help of computer algebra system Maxima. This way was used in [4] to test some new ideas in the large-scale stellar dynamos. What you need are the latest version of Maxima-5.16.3 (preferable… (More)

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