Bifurcations and chaos in a system with impacts

DOI10.1016/s0167-2789(00)00170-6zbMath1076.70013OpenAlexW2117548947MaRDI QIDQ6205499

Guan-Wei Luo, Jian-Hua Xie

Publication date: 19 December 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(00)00170-6

zbMATH Keywords

vibro-impact systemPoincaré mapperiod 1 single-impact motion

Mathematics Subject Classification ID

Stability for problems in linear vibration theory (70J25) Dynamical systems in classical and celestial mechanics (37N05)

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Cites Work

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• Bifurcations in impact systems.
• Bifurcations and transition phenomena in an impact oscillator.
• Applications of centre manifold theory
• Bifurcation into invariant tori at points of resonance
• Codimension two bifurcations and Hopf bifurcations of an impacting vibrating system
• Oscillation and Doubling of Torus
• Global dynamics of a vibro-impacting linear oscillator
• BIFURCATIONS AND CHAOS IN AUTONOMOUS SELF-EXCITED OSCILLATORS WITH IMPACT DAMPING
• The dynamics of repeated impacts with a sinusoidally vibrating table
• Transition to chaotic motion in mechanical systems with impacts
• Singularities in vibro-impact dynamics
• Stabilization Of An Impact Oscillator Near Grazing Incidence Owing To Resonance
• Periodic and Chaotic Behaviour of a Threshold-Limited Two-Degree-of-Freedom System
• Dynamics of Multiple-Degree-of-Freedom Oscillators With Colliding Components
• The effect of frequency and clearance variations on single-degree-of-freedom impact oscillators
• A periodically forced piecewise linear oscillator
• HOPF BIFURCATION OF A TWO-DEGREE-OF-FREEDOM VIBRO-IMPACT SYSTEM