The asymmetry of the solar cycle: A result of non-linearity

The paper presents a numerical analysis of Wolf sunspot numbers, with emphasis being laid on the asymmetry of the cyclic variation. To that purpose we have used the standard tables of monthly numbers and, in addition to the Fourier transform, we have done an overall analysis of the trend around each maximum. Many of these maxima present an asymmetry, and sometimes the presence of two maxima is evident. The non-linear RLC van der Pol model suggested by Polygiannakis and Moussas [Polygiannakis, J.M., Moussas, X. A nonlinear RLC solar cycle model. Solar Physics 163, 193–203, 1996] can explain many features of the observed asymmetries. Our analysis shows that a consistent deconvolution in two Gaussian curves is possible for each maximum. We may presume that the observed sunspot time series includes a hidden complex structure. This could give some hints of a behavior typical for coupled non-linear oscillators. It is a matter of further interpretations. whether such “oscillators” are just a simple approximation of a much complex phenomenon, or are a sign of another more physically based model like the dynamo model (or other models).     

Acceleration of energetic particles by whistler waves in active space experiment with charged particle beams injection

In this paper the investigation of wave-particle interaction during simultaneous injection of electron and xenon ion beams from the satellite Intercosmos-25 (IK-25) carried out using the data of the double satellite system with subsatellite Magion-3 (APEX). Results of active space experiment devoted to the beam-plasma instability are partially presented in the paper Baranets et al. (2007). A specific feature of the experiment carried out in orbits 201, 202 was that charged particle flows were injected in the same direction along the magnetic field lines B₀ so the oblique beam-into-beam injection have been produced. Results of the beam-plasma interaction for this configuration were registered by scientific instruments mounted on the station IK-25 and Magion-3 subsatellite. Main attention is paid to study the electromagnetic and longitudinal waves excitation in different frequency ranges and the energetic electron fluxes disturbed due to wave-particle interaction with whistler waves. The whistler wave excitation on the 1st electron cyclotron harmonic via normal Doppler effect during electron beam injection in ionospheric plasma are considered.