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Mathematical problems of nonlinearity
Oscillations in Dynamic Systems with an Entropy Operator
Y. S. Popkov Federal Research Center “Computer Science and Control” of Russian Academy of Sciences
ul. Vavilova 44-2, Moscow, 119133 Russia
Аннотация:
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.
Ключевые слова:
entropy, dynamic systems, optimization, oscillatory process.
Поступила в редакцию: 15.09.2022 Принята в печать: 25.11.2022
Образец цитирования:
Y. S. Popkov, “Oscillations in Dynamic Systems with an Entropy Operator”, Rus. J. Nonlin. Dyn., 19:1 (2023), 125–135
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nd842 https://www.mathnet.ru/rus/nd/v19/i1/p125
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