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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{ND_2023_19_1_a7,
     author = {Y. S. Popkov},
     title = {Oscillations in {Dynamic} {Systems} with an {Entropy} {Operator}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {125--135},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2023_19_1_a7/}
}
TY  - JOUR
AU  - Y. S. Popkov
TI  - Oscillations in Dynamic Systems with an Entropy Operator
JO  - Russian journal of nonlinear dynamics
PY  - 2023
SP  - 125
EP  - 135
VL  - 19
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2023_19_1_a7/
LA  - en
ID  - ND_2023_19_1_a7
ER  - 
%0 Journal Article
%A Y. S. Popkov
%T Oscillations in Dynamic Systems with an Entropy Operator
%J Russian journal of nonlinear dynamics
%D 2023
%P 125-135
%V 19
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2023_19_1_a7/
%G en
%F ND_2023_19_1_a7
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/