ALGORITHM OF SYMMETRIZED SHIFTS DETERMINATION IN COMPLEX SYMMETRIC SYSTEMS VIA REDUCING TO THE EIGENVECTORS PROBLEM

Igor BOGUŞ, Victor CIOBU, Florentin PALADI Universitatea de Stat din Moldova

Abstract

A modified algorithm of symmetrised oscillations determination of complex symmetric systems is developed in the article. Methods of determination of such oscillations in the group theory were developed earlier. These methods are difficult to be algorithmised for complex symmetric systems with a big amount of degrees of freedom. The modified algorithm was developed to be able to find symmetrised shifts of such systems and, consequently, to obtain and classify normal oscillations and their frequencies. This method reduces the problem to the problem of eigenvectors determination, to which it is applicable common numerical methods. Keywords: group theory, algorithm, numerical calculation, symmetry, symmetrised oscillations.