منابع مشابه
Double Pendulum
The double pendulum is a classic dynamical system, capable of chaotic behavior in a four-dimensional phase space. The driven case introduces even more peculiar behaviors and opens the possibility for stable folded modes. In this paper, we explore the double pendulum in both driven and undriven cases through experimental observation and simulations, focusing on time-to-flip as a major measure of...
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متن کاملChaos of the Double Pendulum
We characterized the chaotic motion of a damped physical double pendulum which has not been achieved previously. The results consist of scattered phase plots, fractal Poincaré sections, and positive Lyapunov exponents.
متن کاملExploration of the Double Pendulum
The double pendulum is a classic system in the study of chaos. We have explored the double pendulum experimentally, and compared results to a numerical simulation. This comparison was done in the time it takes for the second arm of the pendulum to ”flip,” based on initial starting conditions. We also performed analyis of the vertically driven case.
متن کاملChaos in a double pendulum
A novel demonstration of chaos in the double pendulum is discussed. Experiments to evaluate the sensitive dependence on initial conditions of the motion of the double pendulum are described. For typical initial conditions, the proposed experiment exhibits a growth of uncertainties which is exponential with exponent A = 7.5 ± 1.5 s• Numerical simulations performed on an idealized model give good...
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ژورنال
عنوان ژورنال: Nature
سال: 1878
ISSN: 0028-0836,1476-4687
DOI: 10.1038/018617c0