Oscillations in Dynamic Systems with an Entropy Operator

    Received 15 September 2022; accepted 25 November 2022; published 20 January 2023

    2023, Vol. 19, no. 1, pp.  125-135

    Author(s): Popkov Y. S.

    This paper considers dynamic systems with an entropy operator described by a perturbed constrained optimization problem. Oscillatory processes are studied for periodic systems with the following property: the entire system has the same period as the process generated by its linear part. Existence and uniqueness conditions are established for such oscillatory processes, and a method is developed to determine their form and parameters. Also, the general case of noncoincident periods is analyzed, and a method is proposed to determine the form, parameters, and the period of such oscillations. Almost periodic processes are investigated, and existence and uniqueness conditions are proved for them as well.
    Keywords: entropy, dynamic systems, optimization, oscillatory process
    Citation: Popkov Y. S., Oscillations in Dynamic Systems with an Entropy Operator, Rus. J. Nonlin. Dyn., 2023, Vol. 19, no. 1, pp.  125-135

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