Experimental study of chaos in a driven pendulum

DOI10.1016/0167-2789(87)90238-7zbMath0613.58023OpenAlexW1968504140MaRDI QIDQ1819438

M. A. H. Nerenberg, James A. Blackburn, S. Vik, Zhou-jing Yang, H. J. T. Smith

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90238-7

zbMATH Keywords

Poincaré sectionspower spectraHysteresisstate diagramdriven, damped pendulum

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Probabilistic methods, stochastic differential equations (65C99)

Related Items (13)

Experimental and numerical investigation of chaotic regions in the triple physical pendulum ⋮ Resonance and symmetry breaking for the pendulum ⋮ NUMERICAL AND EXPERIMENTAL STUDY OF REGULAR AND CHAOTIC MOTION OF TRIPLE PHYSICAL PENDULUM ⋮ Periodic oscillations and attracting basins for a parametrically excited pendulum ⋮ Chaos in planar oscillations of a Toda particle ⋮ A computable evolution equation for the joint response-excitation probability density function of stochastic dynamical systems ⋮ A generalized perturbed pendulum. ⋮ Dynamics of the shift in resonance frequency in a triple pendulum ⋮ Predictability portraits for chaotic motions ⋮ Experimental versus theoretical robustness of rotating solutions in a parametrically excited pendulum: a dynamical integrity perspective ⋮ Analysing the chaotic motion of a driven pendulum ⋮ HIGH-DIMENSIONAL CHAOS IN DISSIPATIVE AND DRIVEN DYNAMICAL SYSTEMS ⋮ Phase Shadows: An Enhanced Representation of Nonlinear Dynamic Systems

Cites Work

• Mechanical analog studies of a perturbed sine-Gordon equation
• Experiments on periodic and chaotic motions of a parametrically forced pendulum
• A mechanical analog for the double sine-Gordon equation
• Unnamed Item

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