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Dynamics of Non-Stationary Processes that Follow the Maximum of Continuous Tsallis Entropy

Dmitry Shalymov
In this paper a non-stationary processes that tend to maximize the Tsallis entropy are considered. Systems with discrete probability distribution for the Tsallis entropy have already been investigated on the basis of the Speed-Gradient principle. The evolution of probability density function and continuous form of the Tsallis entropy are considered. A set of equations describing dynamics of a system under the mass conservation and the energy conservation constraints is derived. The uniqueness of the limit distribution and asymptotic convergence of probability density function is examined for both constraints.
CYBERNETICS AND PHYSICS, Vol. 5, No. 2, 2016, 59-66.
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