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A double pendulum consists of two pendulums attached end to end.. In physics and mathematics, in the area of dynamical systems, a double pendulum, also known as a chaotic pendulum, is a pendulum with another pendulum attached to its end, forming a simple physical system that exhibits rich dynamic behavior with a strong sensitivity to initial conditions. [1]
The swinging Atwood's machine (SAM) is a mechanism that resembles a simple Atwood's machine except that one of the masses is allowed to swing in a two-dimensional plane, producing a dynamical system that is chaotic for some system parameters and initial conditions.
English: Six slow-motion videos of the same double pendulum (built with Lego), recorded with a high-speed camera. For each recording, the double pendulum was excited in the same manner. The videos are temporally aligned to show that the behaviour is similar in the beginning and considerably different later – which is due to the butterfly effect.
Starting the pendulum from a slightly different initial condition would result in a vastly different trajectory. The double-rod pendulum is one of the simplest dynamical systems with chaotic solutions. Chaos theory (or chaology [1]) is an interdisciplinary area of scientific study and branch of mathematics.
In a linear system the phase space is the N-dimensional Euclidean space, so any point in phase space can be represented by a vector with N numbers. The analysis of linear systems is possible because they satisfy a superposition principle : if u ( t ) and w ( t ) satisfy the differential equation for the vector field (but not necessarily the ...
A jury convicted Hunter, 54, in June on three felony charges related to his purchase of a gun in 2018 when, prosecutors alleged, he lied on a mandatory gun purchase form by claiming he was not ...
This implies that two and three-dimensional quantum billiards can be modelled by the classical resonance modes of a radar cavity of a given shape, thus opening a door to experimental verification. (The study of radar cavity modes must be limited to the transverse magnetic (TM) modes, as these are the ones obeying the Dirichlet boundary conditions).
Texas Lt. Gov. Dan Patrick said U.S.-owned border wall materials, which were available for sale, were pulled from an Arizona auction at the government's request. The Lonestar State had shown ...