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The amount of time for which the behavior of a chaotic system can be effectively predicted depends on three things: how much uncertainty can be tolerated in the forecast, how accurately its current state can be measured, and a time scale depending on the dynamics of the system, called the Lyapunov time.
Recent research has shown how chaotic computers can be recruited in fault tolerant applications, by introduction of dynamic based fault detection methods. [6] Also it has been demonstrated that multidimensional dynamical states available in a single ChaoGate can be exploited to implement parallel chaos computing, [7] [8] and as an example, this parallel architecture can lead to constructing an ...
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.
Alternatively, Microsoft has made available a free add-on known as the Microsoft Office Compatibility Pack that lets Office open, edit, and save documents created under the newer 2007 format. [ 44 ] Office Open XML is based on XML and uses the ZIP file container.
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CHAOS (operating system), a Linux distribution Quantum chaos , chaotic dynamical systems in quantum theory, quantum mechanics, and their relation to classical chaos Mythology, philosophy, and religion
In the OGY method, small, wisely chosen, kicks are applied to the system once per cycle, to maintain it near the desired unstable periodic orbit. [3] To start, one obtains information about the chaotic system by analyzing a slice of the chaotic attractor. This slice is a Poincaré section. After the information about the section has been ...
Devaney is known for formulating a simple and widely used definition of chaotic systems, one that does not need advanced concepts such as measure theory. [8] In his 1989 book An Introduction to Chaotic Dynamical Systems, Devaney defined a system to be chaotic if it has sensitive dependence on initial conditions, it is topologically transitive (for any two open sets, some points from one set ...