Symmetry in Problems of Nonlinear Dynamics. The Manifestation of The Properties of The Symmetry in The Polarization of Radiation
Manifestation of symmetry properties of chaotic motions is investigated in a case when the system is described by equations of classical dynamics. The considered group of symmetry contains non-commuting elements and as consequence has two-dimensional irreducible representations. Numerical calculation shows, that radiation of this system are fully depolarized, at the same time at a lower symmetry of the system, radiation becomes partially polarized. Such polarization characteristics fully correspond to the same characteristics obtained with the help of quantum-mechanical description of similar system.