INFORMATIONAL ENTROPY OF SHORT-PERIODICAL CATACLYSMIC VARIABLES STARS

Abstract

Work is devoted to implementing an information-entropy analysis for short-
periodic cataclysmic variable stars of the WZ Sge type. Two different states are considered: normal
and during a flare. Changes in the Hα lines of the Balmer series on the timeline were analyzed for 4 stars of the WZ Sge type: EZ Lyn, GW Lib, PNV J03093063 + 2638031, V455 And. The method of
information entropy and its normalization for regular, chaotic, stochastic processes was used.
According to the proposed algorithm, a quantitative classification is carried out. Based on the
quantitative criteria for self-organization in accordance with normalizing conditions, which is
described the randomness of open systems, our calculations were interpreted. This method is
generalized and normalized for two-dimensional processes. Case of a uniform distribution of two-
dimensional entropy elements was used. As a result, we obtained the temperature dependences of
the conditional entropy and propose quantitative differences. The results of this work can be used as
an empirical method for estimating the temperature of short-periodic cataclysmic variable stars by
observed radiation.