Geodesic
Application of the Averaging Principle to the Study of the Dynamics of the Delay Logistic Equation
Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 216-230

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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, asymptotics.
Mots-clés : bifurcations 
@article{MZM_2018_104_2_a5,
     author = {S. A. Kashchenko},
     title = {Application of the {Averaging} {Principle} to the {Study} of the {Dynamics} of the {Delay} {Logistic} {Equation}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {216--230},
     publisher = {mathdoc},
     volume = {104},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a5/}
}
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S. A. Kashchenko. Application of the Averaging Principle to the Study of the Dynamics of the Delay Logistic Equation. Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 216-230. http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a5/