Search results
Results from the WOW.Com Content Network
In the mathematics of chaos theory, a horseshoe map is any member of a class of chaotic maps of the square into itself. It is a core example in the study of dynamical systems . The map was introduced by Stephen Smale while studying the behavior of the orbits of the van der Pol oscillator .
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]
In mathematics, a chaotic map is a map (an evolution function) that exhibits some sort of chaotic behavior.Maps may be parameterized by a discrete-time or a continuous-time parameter.
Discover the best free online games at AOL.com - Play board, card, casino, puzzle and many more online games while chatting with others in real-time.
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 ...
In physics, relativistic chaos is the application of chaos theory to dynamical systems described primarily by general relativity, and also special relativity. Barrow (1982) showed that the Einstein equations exhibit chaotic behaviour and modelled the Mixmaster universe as a dynamical system.
The Lorenz equations can arise in simplified models for lasers, [4] dynamos, [5] thermosyphons, [6] brushless DC motors, [7] electric circuits, [8] chemical reactions [9] and forward osmosis. [10] Interestingly, the same Lorenz equations were also derived in 1963 by Sauermann and Haken [ 11 ] for a single-mode laser.
Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Pages for logged out editors learn more