We prove existence results for Dirac-harmonic maps using index theoretical tools. They are mainly interesting if the source manifold has dimension 1 or 2 modulo 8. Our solutions are uncoupled in the sense that the underlying map between the source and target manifolds

The harmonic index H(G) of a graph G is defined as the sum of weights 2 d(u)+d(v) of all edges uv of G, where d(u) denotes the degree of a vertex u in G. In this paper, we have determined the minimum and maximum harmonic indices of bicyclic graphs and characterized the corresponding graphs at which the extremal harmonic indices are attained.

the variability of temperature and precipitation is regarded as one of the main characteristics of the climate.precipitation and its results, especially results such as droughts, vary on different temporal and spatial scales. thepurpose of this paper is to determine the frequency of the inter-annual variability of the driest month in north-westiran. in order to obtain the best results, we used ...

This paper explains a control strategy SHE-PWM and a closed loop control of the cascaded multilevel inverter based on the modulation index. The modulation index is taken as the feedback to the cascaded multilevel inverter, the proposed system reduces the total harmonic distortion by optimizing the angles of the inverter and the DC voltage sources applied to the cascaded inverter. The specific l...

Abstract This work deals with the time evolution of the three harmonics of the unusual diurnal variation of cosmic ray intensity during high amplitude anisotropic wave trains. The relation of these harmonics to interplanetary parameters such as Dst-index, Ap-index, solar wind speed and interplanetary magnetic field (Bz) is investigated in order to found the possible origin of these anisotropic ...