Periodic-impact motions and bifurcations of vibro-impact systems near \(1:4\) strong resonance point

DOI10.1016/j.cnsns.2006.08.004zbMath1221.74058OpenAlexW1996373492MaRDI QIDQ718668

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

Publication date: 24 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2006.08.004

zbMATH Keywords

bifurcationperiodic motionvibrationimpactresonance

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical systems in solid mechanics (37N15) Impact in solid mechanics (74M20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (6)

Singularities in soft-impacting systems ⋮ Analysis of dynamical behaviors of a 2-DOF friction oscillator with elastic impacts and negative feedbacks ⋮ Random vibrations of Rayleigh vibroimpact oscillator under parametric Poisson white noise ⋮ Torus and subharmonic motions of a forced vibration system in 1 : 5 weak resonance ⋮ On the Heteroclinic Connections in the 1:3 Resonance Problem ⋮ Multi-valued responses of a nonlinear vibro-impact system excited by random narrow-band noise

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