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A codimension seven unfolding of a third harmonic resonant interaction between two contiguous continua.

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Publication:1589885
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DOI10.1007/PL00001513zbMath1099.37510OpenAlexW2005223900MaRDI QIDQ1589885

Mark C. W. Jones

Publication date: 13 December 2000

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001513


zbMATH Keywords

bifurcationmode interactionLyapunov-Schmidtcapillary-gravityuniversal unfording


Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Theory of singularities and catastrophe theory (58K99) Local and nonlocal bifurcation theory for dynamical systems (37G99) Qualitative properties of solutions to partial differential equations (35B99)


Related Items (2)

Group Equivariant Singularity Theory in the Bifurcation of Interfacial Wilton Ripples ⋮ Soliton solutions to coupled nonlinear evolution equations modelling a third harmonic resonance in the theory of capillary-gravity waves







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