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Symmetry–breaking instabilities of convection in squares

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Publication:3128278
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DOI10.1098/rspa.1997.0007zbMath0873.76030arXivmath/9604237OpenAlexW2170402160WikidataQ58422077 ScholiaQ58422077MaRDI QIDQ3128278

Alastair M. Rucklidge

Publication date: 29 October 1997

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9604237


zbMATH Keywords

travelling wavesHopf bifurcationoscillatory solutionsperiodic boundary conditionssymmetry groupvertical magnetic field


Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)


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Energy-conserving low-order models for three-dimensional Rayleigh-Bénard convection ⋮ Global bifurcations in the Takens-Bogdanov normal form with \(D_4\) symmetry near the \(O(2)\) limit



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