Two-dimensional stationary structures in a parabolic equation with an inversion transformation of its spatial arguments

DOI10.1007/S10559-011-9318-2zbMath1303.78010OpenAlexW2051065327MaRDI QIDQ464899

E. P. Belan

Publication date: 30 October 2014

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-011-9318-2

zbMATH Keywords

stabilityfeedbackbifurcationparabolic equationbufferingcentral varietyoptical system

Mathematics Subject Classification ID

Feedback control (93B52) PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Lasers, masers, optical bistability, nonlinear optics (78A60) Semilinear parabolic equations (35K58)

Related Items (2)

Stability of structures and asymptotics of nonlinear parabolic type equations solutions with transformation of arguments ⋮ Stable structures of nonlinear parabolic equations with transformation of spatial variables

Cites Work

• Dynamics of stationary structures in a parabolic problem with reflected spatial argument
• Optical buffering in stationary structures
• Steady-state structures in a functional-differential diffusion equation with reflection of the spatial argument
• Optical buffering and mechanisms for its occurrence
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