منابع مشابه
Synchronization of slowly rotating pendulums
We study synchronization of a number of rotating pendulums mounted on a horizontal beam which can roll on the parallel surface. It has been shown that after the initial transient different states of pendulums’ synchronization occur. We derive the analytical equations for the estimation of the phase differences between phase synchronized pendulums. After study of the basins of attraction of diff...
متن کاملAntiphase Synchronization of Two nonidentical Pendulums
We numerically study the synchronization of two nonidentical pendulum motions, pivoting on a common movable frame in the point of view of the dynamic phase transition. When the difference in the pendulum lengths is not too large, it is shown that the system settles down into the dynamic state of the antiphase synchronization with the phase difference π. We observe that there is a bistable regio...
متن کاملAdaptive Fuzzy Sliding Mode Stabilization Controller for Inverted Pendulums
This paper addresses the control problem of X-Z inverted pendulum in the presents of system uncertainties and external disturbances, and an adaptive fuzzy sliding mode control approach is proposed. The fuzzy system is used to approximate the system uncertainties and the complicated intermediate control functions in the backstepping control design. To update the parameters of the fuzzy system, a...
متن کاملExperimental history: swinging pendulums and melting shellac.
Four hundred years ago Galileo Galilei aimed a telescope at the sky. He revolutionized astronomy. Equally revolutionary were his experiments in physics. Unlike his astronomical observations the experiments remain difficult to understand and replicate even today. Two centuries after Galileo, Augustin Coulomb demonstrated experimentally the law of electrostatic force. It has never been successful...
متن کاملFrom Coupled Pendulums to Quantum Search
Quantum search is a quantum mechanical technique for searching N possibilities in only √ N steps. There are several different perspectives from which one can get to the algorithm Schrodinger’s equation, antenna array, rotation in a two-dimensional Hilbert space, just to name a few. This paper gives a fresh perspective on the algorithm in terms of a resonance phenomenon which is implemented thro...
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ژورنال
عنوان ژورنال: Journal of the Franklin Institute
سال: 1838
ISSN: 0016-0032
DOI: 10.1016/s0016-0032(38)92226-4