Geodesic
Oscillations in Dynamic Systems with an Entropy Operator
Russian journal of nonlinear dynamics, Tome 19 (2023) no. 1, pp. 125-135.

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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. 
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Y. S. Popkov. Oscillations in Dynamic Systems with an Entropy Operator. Russian journal of nonlinear dynamics, Tome 19 (2023) no. 1, pp. 125-135. http://geodesic.mathdoc.fr/item/ND_2023_19_1_a7/

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