Vibro-impact dynamics near a strong resonance point

DOI10.1007/S10409-007-0072-7zbMath1202.70118OpenAlexW2074959972MaRDI QIDQ612408

Jian-Gang Zhang, Guan-Wei Luo, Yanlong Zhang, Jian-Hua Xie

Publication date: 28 December 2010

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-007-0072-7

zbMATH Keywords

bifurcationperiodic motionvibrationimpactresonance

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Cites Work

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• Codimension two bifurcation of a vibro-bounce system
• Hopf-flip bifurcation of high-dimensional maps and application to vibro-impact systems
• Codimension two bifurcation and chaos of a vibro-impact forming machine associated with 1:2 resonance case
• Bifurcations and transition phenomena in an impact oscillator.
• Railway vehicle systems dynamics and chaotic vibrations
• Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
• Applications of centre manifold theory
• Elements of applied bifurcation theory.
• Modeling of the mean Poincaré map on a class of random impact oscillators.
• Controlling chaos of a dynamical system with discontinuous vector field
• Periodic and Chaotic Behaviour of a Threshold-Limited Two-Degree-of-Freedom System
• The general motion of an inclined impact damper with friction
• Controlling chaos of a periodically forced nonsmooth mechanical system

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