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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]
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.
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.
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.
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).
Fans will have one more chance to watch Cam Ward orchestrate the nation's No. 1 offense when No. 13 Miami plays No. 18 Iowa State in Saturday's Pop-Tarts Bowl at Orlando, Fla.
You could be paying more for a new Rolex watch at an authorized dealer — if you can find one in stock, Meanwhile, used Rolex prices fell across the globe, continuing a trend that began in 2022.
And TBD, also owned by Sinclair, shifted away from viral videos in 2024 to a mix of comedy repeats like “SNL” and “Key and Peele,” hence the ratings bump. RELATED: The 25 Most-Watched ...