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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]
A computer-assisted proof of chaotic behavior (more precisely, of positive topological entropy) in Chua's circuit was published in 1997. [6] A self-excited chaotic attractor , known as " the double scroll " because of its shape in the ( x , y , z ) space, was first observed in a circuit containing a nonlinear element such that f ( x ) was a 3 ...
Chaotic maps and iterated functions often generate fractals. Some fractals are studied as objects themselves, as sets rather than in terms of the maps that generate them. This is often because there are several different iterative procedures that generate the same fractal.
This chaotic attractor is known as the double scroll because of its shape in three-dimensional space, which is similar to two saturn-like rings connected by swirling lines. The attractor was first observed in simulations, then realized physically after Leon Chua invented the autonomous chaotic circuit which became known as Chua's circuit. [1]
In contrast to single type chaotic solutions, recent studies using Lorenz models [41] [42] have emphasized the importance of considering various types of solutions. For example, coexisting chaotic and non-chaotic may appear within the same model (e.g., the double pendulum system) using the same modeling configurations but different initial ...
A pendulum can help you find answers to yes or no questions. Here's how to use a pendulum and interpret the swinging. If You’re Indecisive, You Need a Pendulum in Your Mystical Tool Kit
Pages in category "Chaotic maps" The following 50 pages are in this category, out of 50 total. ... Elastic pendulum; Exponential map (discrete dynamical systems) G.
A cursory search on Google confirmed my old school knowledge, that a double pendulum behaves chaotically, so I have edited the introduction to conform to the current snese of the latter statement in the article: "The motion of a double pendulum is governed by a set of coupled ordinary differential equations and is chaotic."