🔧На сайте запланированы технические работы
25.12.2025 в промежутке с 18:00 до 21:00 по Московскому времени (GMT+3) на сайте будут проводиться плановые технические работы. Возможны перебои с доступом к сайту. Приносим извинения за временные неудобства. Благодарим за понимание!
🔧Site maintenance is scheduled.
Scheduled maintenance will be performed on the site from 6:00 PM to 9:00 PM Moscow time (GMT+3) on December 25, 2025. Site access may be interrupted. We apologize for the inconvenience. Thank you for your understanding!

 

Stable regimes of dynamic systems with impulsive influences


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

Let us consider a mathematical model of dynamic system, which is presented as a chain of three connected, singularly perturbed nonlinear differential equations. In the further text there were researched the questions of existence and stability of periodic solutions of this system due to a bifurcational analysis of special two-dimensional map. Also the special attention is paid to the number of coexisting stable regimes.

About the authors

L. I. Ivanovsky

Yaroslavl State University; Scientific Center in Chernogolovka of Russian Academy of Sciences

Author for correspondence.
Email: leon19unknown@gmail.com
Russian Federation, Yaroslavl, 150000; Chernogolovka, Moscow oblast, 142432

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2017 Pleiades Publishing, Ltd.