Application of the averaging principle to the study of the dynamics of the delay logistic equation

DOI10.1134/S0001434618070246zbMath1409.34067OpenAlexW2894969797WikidataQ129132327 ScholiaQ129132327MaRDI QIDQ1991792

Sergey A. Kaschenko

Publication date: 30 October 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618070246

zbMATH Keywords

stabilityasymptoticsnormal formsbifurcationsaveraging

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Averaging for functional-differential equations (34K33)

Related Items (1)

Andronov-Hopf bifurcation in logistic delay equations with diffusion and rapidly oscillating coefficients

Cites Work

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• Theory and applications of partial functional differential equations
• BIFURCATIONAL FEATURES IN SYSTEMS OF NONLINEAR PARABOLIC EQUATIONS WITH WEAK DIFFUSION
• The normalization of systems of parabolic equations with small diffusion in a neighborhood of a cycle
• Bifurcations in the neighborhood of a cycle under small perturbations with a large delay

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