CODIMENSION-THREE BIFURCATIONS OF NONLINEAR VIBRATION-CONTROLLED SYSTEMS

DOI10.1142/S0217984910022317zbMath1200.37045OpenAlexW2075677754MaRDI QIDQ3556813

Chyuan-Yow Tseng, Hsun-Heng Tsai

Publication date: 26 April 2010

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984910022317

zbMATH Keywords

nonlinear systembifurcationvibration controlmodal coupling

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Electromagnetic effects in solid mechanics (74F15) Dynamical systems in control (37N35) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Electromagnetic theory (general) (78A25) Random vibrations in dynamical problems in solid mechanics (74H50)

Cites Work

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• Melnikov's method and codimension-two bifurcations in forced oscillations
• Codimension-two bifurcations in ionization instability in a glow discharge
• Vibration analysis of a beam with an internal hinge subjected to a random moving oscillator

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