Homogenization over the spatial variable in nonlinear parabolic systems

DOI10.1090/mosc/288zbMath1436.35226OpenAlexW3014723268MaRDI QIDQ4960294

Sergey A. Kaschenko

Publication date: 14 April 2020

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mosc/288

zbMATH Keywords

stabilitybifurcationboundary value problemnonlinear parabolic systemrapidly oscillating data

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Second-order parabolic systems (35K40)

Related Items

Influence of the external-environment resistance coefficient on population dynamics

Cites Work

• 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
• Homogenization of a nonstationary convection-diffusion equation in a thin rod and in a layer
• Nonlocality of reaction-diffusion equations induced by delay: biological modeling and nonlinear dynamics
• Asymptotic behavior of steady-state conditions of parabolic equations with coefficients rapidly oscillating in time and with variable region of definition
• A study of the stability of solutions of linear parabolic equations with nearly constant coefficients and small diffusion
• 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
• Averaging a transport equation with small diffusion and oscillating velocity
• Homogenization of a Nonlinear Convection-Diffusion Equation with Rapidly Oscillating Coefficients and Strong Convection
• Averaging methods in nonlinear dynamical systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item