Paradoxical simulation results of chaos-like chattering in the bouncing ball system

DOI10.1016/J.PHYSD.2021.132854OpenAlexW3128158723MaRDI QIDQ2077882

Kilian Schindler, Remco I. Leine

Publication date: 22 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.physd.2021.132854

zbMATH Keywords

chaosimpactnonsmooth dynamicsgrazingunilateral constraint

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Collision of rigid or pseudo-rigid bodies (70F35)

Cites Work

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• Chaos and period-adding; experimental and numerical verification of the grazing bifurcation
• Simulation and stability analysis of impacting systems with complete chattering
• Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
• Stability and convergence of mechanical systems with unilateral constraints
• Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators
• REGULAR AND CHAOTIC DYNAMICS IN BOUNCING BALL MODELS
• Dynamics of an impact oscillator near a degenerate graze
• The dynamics of repeated impacts with a sinusoidally vibrating table
• Chattering and related behaviour in impact oscillators
• Intermittency in impact oscillators close to resonance
• Discontinuity geometry for an impact oscillator
• The effect of frequency and clearance variations on single-degree-of-freedom impact oscillators
• FROM COMPLETE TO INCOMPLETE CHATTERING: A NOVEL ROUTE TO CHAOS IN IMPACTING CAM-FOLLOWER SYSTEMS
• CONTROLLING A BOUNCING BALL

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