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Conference publicationsAbstractsXVI conferenceSquare-law forms of operating functions for self-conducting stochastic dynamic systemsTaurida National V.I. Vernadsky University, Faculty of Mathematics and Informatics, Applied Mathematics dept., Ukraine, Crimea, 95007, Simferopol, Prospekt Vernadskogo 4 1 pp. (accepted)Earlier a new math object was introduced – self-conducting stochastic dynamic systems[1]. In such objects the operating functions play a key role. The basics for these functions is a random variable U with defined Gaussian cumulative distribution function, as well as its mean and variance, which are connected with a linear ratio. Thus, for each natural step these values are calculated based on their values on the previous step, while “X” – random variable, which the value that linearly depends on random variable “U”. This work is dedicated to the research of the system behavior depending on different forms and parameters of operating functions. The case of their linear form definition has been already described[1], that’s why were studied some non-linear forms, that are square-law in dynamic variables of mean and variance . The most interest is hidden in the dependence mean of variance – as a two-dimensional dynamic system with a random conducting parameter U; as well as dependence “X” of “U” – as a two-dimensional system of random values, and the last, but not least, their superposition – a three-dimensional space, so called self-conducting stochastic dynamic system.
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