Self-Sustained Oscillations of Nonlinearly Viscoelastic Layers

DOI10.1137/S0036139998337954zbMath0956.35009OpenAlexW2084487345MaRDI QIDQ4507241

Herbert Koch, Stuart S. Antman

Publication date: 18 October 2000

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139998337954

zbMATH Keywords

Hopf bifurcationrefined version of the Hopf bifurcation theoremstick-slip frictional force

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Nonlinear constitutive equations for materials with memory (74D10) Bifurcations in context of PDEs (35B32)

Related Items (2)

Global attractors for quasilinear parabolic-hyperbolic equations governing longitudinal motions of nonlinearly viscoelastic rods ⋮ The parabolic-hyperbolic system governing the spatial motion of nonlinearly viscoelastic rods

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