Amplitude equations close to a triple-(+1) bifurcation point of \(\mathbb D_4\)-symmetric periodic orbits in \(\mathbb O(2)\)-equivariant systems

DOI10.3934/dcdsb.2006.6.1357zbMath1110.37060OpenAlexW2058232818MaRDI QIDQ864074

Publication date: 12 February 2007

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2006.6.1357

zbMATH Keywords

perturbation technique thermal convection

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Convection in hydrodynamic stability (76E06) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Numerical bifurcation problems (65P30)

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