|
This article is cited in 4 scientific papers (total in 4 papers)
Application of the Averaging Principle to the Study of the Dynamics of the Delay Logistic Equation
S. A. Kashchenkoab a P.G. Demidov Yaroslavl State University
b National Engineering Physics Institute "MEPhI", Moscow
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.
Keywords:
averaging, stability, normal forms, bifurcations, asymptotics.
Received: 17.05.2017
Citation:
S. A. Kashchenko, “Application of the Averaging Principle to the Study of the Dynamics of the Delay Logistic Equation”, Mat. Zametki, 104:2 (2018), 216–230; Math. Notes, 104:2 (2018), 231–243
Linking options:
https://www.mathnet.ru/eng/mzm11704https://doi.org/10.4213/mzm11704 https://www.mathnet.ru/eng/mzm/v104/i2/p216
|
Statistics & downloads: |
Abstract page: | 363 | Full-text PDF : | 48 | References: | 54 | First page: | 27 |
|