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Chaos theory (or chaology [1]) is an interdisciplinary area of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions. These were once thought to have completely random states of disorder and irregularities. [2]
Pomeau-Manneville maps for intermittent chaos : discrete: real: 1 or 2: Normal-form maps for intermittency (Types I, II and III) Polynom Type-A fractal map [45] continuous: real: 3: 3: Polynom Type-B fractal map [46] continuous: real: 3: 6: Polynom Type-C fractal map [47] continuous: real: 3: 18: Pulsed rotor: Quadrup-Two orbit fractal [48 ...
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If you play The Secret World, you've likely seen this string of characters, or something similar, a thousand times over. Anyone who has done any MMO gaming is used to seeing a flood of acronyms ...
Chaotic cryptology is the application of mathematical chaos theory to the practice of cryptography, the study or techniques used to privately and securely transmit information with the presence of a third-party or adversary. Since first being investigated by Robert Matthews in 1989, [1] the use of chaos in cryptography has attracted much ...
In lab experiments that study chaos theory, approaches designed to control chaos are based on certain observed system behaviors. Any chaotic attractor contains an infinite number of unstable, periodic orbits. Chaotic dynamics, then, consists of a motion where the system state moves in the neighborhood of one of these orbits for a while, then ...
Shaw was one of the pioneers of chaos theory and his work at University of California, Santa Cruz on the subject was among the first research into the relationship between predictable motion and chaos in a landmark PhD thesis. [3] He was part of the Dynamical Systems Collective with J. Doyne Farmer, Norman Packard, and James Crutchfield. The ...