Email this article Stable regimes of dynamic systems with impulsive influences
- Authors: Ivanovsky L.I.1,2
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Affiliations:
- Yaroslavl State University
- Scientific Center in Chernogolovka of Russian Academy of Sciences
- Issue: Vol 38, No 5 (2017)
- Pages: 921-925
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/200074
- DOI: https://doi.org/10.1134/S199508021705016X
- ID: 200074
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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.
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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
