Free nonlinear vibrations for plate equations on the equilateral triangle

DOI10.1016/S0362-546X(99)00293-XzbMath0994.35095MaRDI QIDQ5935776

Hansjoerg Kielhoefer, Errol L. Montes-Pizarro, Timothy J. Healey

Publication date: 21 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

wavesspatial symmetrytime-periodic solutions

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Variational problems in infinite-dimensional spaces (58E99) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (4)

KINK-BRIGHT SOLITARY WAVE SOLUTIONS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION ⋮ Existence of global attractors for the nonlinear plate equation with memory term ⋮ Periodic Navier Solutions for the Plate Equation with Non-Monotone Nonlinearities: the Multidimensional Case ⋮ Bifurcation with a two-dimensional kernel

Cites Work

• Unnamed Item
• Singularities and groups in bifurcation theory. Volume I
• Singularities and groups in bifurcation theory. Volume II
• Bifurcation of periodic solutions for a semilinear wave equation
• Existence of nonlinear normal modes of symmetric Hamiltonian systems
• Completeness of the Eigenfunctions of the Equilateral Triangle
• Global Bifurcations and Continuation in the Presence of Symmetry with an Application to Solid Mechanics
• Periodic solutions near equilibria of symmetric Hamiltonian systems
• The Eigenvalues of an Equilateral Triangle
• Free nonlinear vibrations for a class of two-dimensional plate equations: standing and discrete-rotating waves

This page was built for publication: Free nonlinear vibrations for plate equations on the equilateral triangle