Dynamics of a delay logistic equation with diffusion and coefficients rapidly oscillating in space variable

DOI10.1134/S1064562418060224zbMath1410.34227OpenAlexW2900434182WikidataQ128953073 ScholiaQ128953073MaRDI QIDQ1709878

Sergey A. Kaschenko

Publication date: 15 January 2019

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418060224

zbMATH Keywords

diffusionperiodic solutionasymptoticdelay logistic equation

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Singular perturbations of functional-differential equations (34K26)

Cites Work

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• Stability of equilibrium state in a laser with rapidly oscillating delay feedback
• Singular perturbations. Introduction to system order reduction methods with applications. With a foreword by Robert O'Malley
• Nonlocality of reaction-diffusion equations induced by delay: biological modeling and nonlinear dynamics
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Dynamics of delay systems with rapidly oscillating coefficients
• Travelling wave dynamics in a nonlinear interferometer with spatial field transformer in feedback
• Local dynamics of a spatially distributed logistic equation with delay and large transport coefficient

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