On the chaotic behavior of a compressed beam
DOI10.4310/DPDE.2007.v4.n1.a2zbMath1139.35008MaRDI QIDQ2474796
Matteo Franca, Flaviano Battelli, Michal Fečkan
Publication date: 6 March 2008
Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)
Galerkin methodweak formulationbifurcationLyapunov-Schmidt reductionMelnikov functionchaotic solutionsbeam with frictioncompressed beaminfinite system of ODEssmall periodic forcing
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Integro-partial differential equations (45K05) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations in context of PDEs (35B32)
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