Local bifurcation structure of a bouncing ball system with a piecewise polynomial function for table displacement
DOI10.1063/5.0013908zbMath1455.37064arXiv2004.10633OpenAlexW3102960385WikidataQ98886551 ScholiaQ98886551MaRDI QIDQ5129879
Hiroaki Ito, Yudai Okishio, Hiroyuki Kitahata
Publication date: 2 November 2020
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.10633
Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems in classical and celestial mechanics (37N05) Computational methods for bifurcation problems in dynamical systems (37M20) Collision of rigid or pseudo-rigid bodies (70F35) Dynamical systems with singularities (billiards, etc.) (37C83)
Cites Work
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- Simple model of bouncing ball dynamics: displacement of the limiter assumed as a cubic function of time
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- An analytical and numerical study of chaotic dynamics in a simple bouncing ball model
- REGULAR AND CHAOTIC DYNAMICS IN BOUNCING BALL MODELS
- The dynamics of repeated impacts with a sinusoidally vibrating table
- Novel temporal behavior of a nonlinear dynamical system: The completely inelastic bouncing ball
- Horizontal stability of a bouncing ball
- Bouncing ball on a vibrating periodic surface
- Simultaneous border-collision and period-doubling bifurcations
- On the Origin of the Cosmic Radiation
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