Email this article Application of the Averaging Principle to the Study of the Dynamics of the Delay Logistic Equation
- Authors: Kashchenko S.A.1,2
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Affiliations:
- Demidov Yaroslavl State University
- National Research Nuclear University “MIFI”
- Issue: Vol 104, No 1-2 (2018)
- Pages: 231-243
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151206
- DOI: https://doi.org/10.1134/S0001434618070246
- ID: 151206
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Abstract
The delay logistic equation with rapidly oscillating coefficients is studied. An averaged equation is constructed, and its dynamics is investigated. Algorithms relating the dynamical modes of the original and averaged equations are developed. It is established that the solutions are particularly sensitive to the choice of functions describing the oscillations of the delay coefficient.
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About the authors
S. A. Kashchenko
Demidov Yaroslavl State University; National Research Nuclear University “MIFI”
Author for correspondence.
Email: kashch@uniyar.ac.ru
Russian Federation, Yaroslavl, 150003; Moscow, 115409
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