REGULAR AND CHAOTIC DYNAMICS IN BOUNCING BALL MODELS

DOI10.1142/S0218127411028854zbMath1215.37033MaRDI QIDQ3010321

Sebastian Vogel, Stefan J. Linz

Publication date: 30 June 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

attractorsLyapunov exponentsperiodic and chaotic solutionsbouncing ball modelsenergy dissipation and driving

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (10)

Bifurcation and Path-Following Analysis of Periodic Orbits of a Fermi Oscillator Model ⋮ Analysis, simulation and visualization of 1D tapping via reduced dynamical models ⋮ Regular and chaotic dynamics of a piecewise smooth bouncer ⋮ Horizontal transport in the bouncing ball system with a sawtooth-shaped table ⋮ Horizontal stability of a bouncing ball ⋮ Local bifurcation structure of a bouncing ball system with a piecewise polynomial function for table displacement ⋮ Non-autonomous grazing phenomenon ⋮ Bouncing ball on a vibrating periodic surface ⋮ Energy level structure of chaotic motion in bouncing ball system ⋮ Paradoxical simulation results of chaos-like chattering in the bouncing ball system

Cites Work

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• Fermi acceleration revisited
• A two-dimensional mapping with a strange attractor
• Chaotic dynamics of a bouncing ball
• Contact Mechanics
• Deterministic analysis of the probability machine
• Novel temporal behavior of a nonlinear dynamical system: The completely inelastic bouncing ball
• The Physics of Vibration
• On the Origin of the Cosmic Radiation

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