Finding of bounded solutions to linear impulsive systems
F Asrorov, V Sobchuk, О Kurylko - Eastern-European Journal of …, 2019 - neliti.com
The problem of the existence of bounded on the entire real axis solutions to linear
nonhomogeneous systems of differential equations undergoing impulsive perturbations at …
nonhomogeneous systems of differential equations undergoing impulsive perturbations at …
The limited solutions method for telecommunications network information security models
V Sobchuk, F Asrorov, O Perehuda… - 2021 IEEE 3rd …, 2021 - ieeexplore.ieee.org
Processes with instantaneous (abrupt) changes are observed in radio engineering (pulse
generation), in biology (heart work, cell division, signal transmission by neurons), in control …
generation), in biology (heart work, cell division, signal transmission by neurons), in control …
Establishing conditions for the existence of bounded solutions to the weakly nonlinear pulse systems
F Asrorov, O Perehuda, V Sobchuk… - … -European Journal of …, 2021 - papers.ssrn.com
Processes that involve jump-like changes are observed in mechanics (the movement of a
spring under an impact; clockwork), in radio engineering (pulse generation), in biology …
spring under an impact; clockwork), in radio engineering (pulse generation), in biology …
[PDF][PDF] Stability of trivial torus of nonlinear multifrequency systems via sign-definite quadratic forms
This paper studies stability properties of the trivial invariant torus of a class of nonlinear
extensions of dynamical systems on torus. Two theorems on exponential stability and …
extensions of dynamical systems on torus. Two theorems on exponential stability and …
Exponential Stability of Invariant Manifold for a Nonlinear Impulsive Multifrequency System
We study the exponential stability of a trivial invariant manifold of nonlinear extension of the
dynamical system on a torus with impulsive jumps at nonfixed moments of time. The …
dynamical system on a torus with impulsive jumps at nonfixed moments of time. The …
[PDF][PDF] Behavioral Properties of Bounded Solutions for a Weakly Nonlinear Impulse System that Describe the Dissemination of Information on Social Networks
F Asrorov, ОPV Sobchuk, A Sukretna - CEUR Workshop Proceedings, 2021 - ceur-ws.org
Processes with instantaneous (abrupt) changes are observed in radio engineering (pulse
generation), in biology (heart work, cell division, signal transmission by neurons), in control …
generation), in biology (heart work, cell division, signal transmission by neurons), in control …
[PDF][PDF] P. Feketa, T. Meurer
MM Perestyuk, YM Perestyuk - imath.kiev.ua
We study the exponential stability of a trivial invariant manifold of nonlinear extension of the
dynamical system on a torus with impulsive jumps at nonfixed moments of time. The derived …
dynamical system on a torus with impulsive jumps at nonfixed moments of time. The derived …
[PDF][PDF] Stability Analysis of Invariant Tori of Nonlinear Extensions of Dynamical Systems on Torus Using Quadratic Forms
P Feketa, OA Kapustian, MM Perestyuk - onthe Q ualitative T heoryof D …, 2018 - rmi.tsu.ge
A set of fundamental results of the mathematical theory of multifrequency oscillations have
been developed by AM Samoilenko and summarized in [11]. In particular, these studies …
been developed by AM Samoilenko and summarized in [11]. In particular, these studies …
[PDF][PDF] On Exponential Stability of Invariant Tori of a Class of Nonlinear Systems
F Asrorov, Y Perestyuk, O Kapustian - onthe Q ualitative T heoryof D …, 2017 - core.ac.uk
One of the important issues in the qualitative theory of multifrequency oscillations is the
question of the stability of invariant sets of dynamical systems defined in the direct product of …
question of the stability of invariant sets of dynamical systems defined in the direct product of …