Free nonlinear vibrations for a class of two-dimensional plate equations: standing and discrete-rotating waves

DOI10.1016/S0362-546X(96)00062-4zbMath0878.35079MaRDI QIDQ4346014

Timothy J. Healey, Hansjoerg Kielhoefer

Publication date: 12 January 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

squareLyapunov-Schmidt reductionequilateral triangle

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

Related Items

Symmetric vibrations of higher dimensional nonlinear wave equations ⋮ Existence of global attractors for the nonlinear plate equation with memory term ⋮ Self-excited vibrations for damped and delayed higher dimensional wave equations ⋮ Free nonlinear vibrations for plate equations on the equilateral triangle ⋮ Nonlinear standing and rotating waves on the sphere

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