The Existence and Stability of Periodic Solutions with a Boundary Layer in a Two-Dimensional Reaction-Diffusion Problem in the Case of Singularly Perturbed Boundary Conditions of the Second Kind

DOI10.3103/S0027134920020083OpenAlexW151197055MaRDI QIDQ5882624

A. Yu. Kolesov, N. Kh. Rozov, Victor A. Sadovnichij

Publication date: 17 March 2023

Published in: Moscow University Physics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022209130058

zbMATH Keywords

parabolic systemHurwitz matrixstable cycledissipative structureinfinite sequence

Mathematics Subject Classification ID

Parabolic equations and parabolic systems (35Kxx) Qualitative theory for ordinary differential equations (34Cxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

• Diffusion instability of a uniform cycle bifurcating from a separatrix loop
• The chemical basis of morphogenesis
• Parametric bufferness in systems of parabolic and hyperbolic equations with small diffusion
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