Moscow, Russia, 44-2 Vavilova str.
FRC СSC RAS
Popkov Y. S.
Oscillations in Dynamic Systems with an Entropy Operator
2023, Vol. 19, no. 1, pp. 125-135
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.