Bifurcation analysis to Swift-Hohenberg equation with Steklov type boundary conditions

DOI10.3934/DCDS.2009.25.273zbMath1179.35051OpenAlexW2018825729MaRDI QIDQ841375

Toshiyuki Ogawa, Takashi Okuda

Publication date: 16 September 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.25.273

zbMATH Keywords

activator-inhibitor systemavoid-crossingcenter manifold reductionsnormal form amplitude equationssymmetry breaking boundary conditions

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

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