Attractor - Wikipedia
网页Attractors are portions or subsets of the phase space of a dynamical system. Until the 1960s, attractors were thought of as being simple geometric subsets of the phase space, like points, lines, surfaces, and simple regions of three-dimensional space.
Attractor -- from Wolfram MathWorld
网页2024年8月22日 · An attractor is a set of states (points in the phase space), invariant under the dynamics, towards which neighboring states in a given basin of attraction asymptotically approach in the course of dynamic evolution.
Strange Attractors
网页In dynamical systems, a 'Strange Attractor' is a type of attractor (a region or shape to which points are 'pulled' as the result of a certain process) that arises in certain non-linear systems and is characterized by its fractal structure.
2.1 Strange Attractors - The Chaos Hypertextbook
网页Strange attractors are an extension of iteration to two and three dimensions. The most famous of these is the Lorenz attractor — a mathematical experiment in weather prediction that uncovered a surprising link between weather, chaos, and fractals.
Lorenz Attractor -- from Wolfram MathWorld
网页The Lorenz attractor is an attractor that arises in a simplified system of equations describing the two-dimensional flow of fluid of uniform depth H, with an imposed temperature difference DeltaT, under gravity g, with buoyancy alpha, thermal diffusivity kappa, and kinematic viscosity nu.
Attractor - Scholarpedia
网页2018年7月5日 · Trapped Attracting Sets. Let \ (T\subset X\) be a compact set such that \ (f (T)\) is contained in the interior of \ (T\ .\) Then the intersection \ (A\) of the nested sequence of sets. \ ( T~\supset~f (T)~\supset~f^ {\circ 2} (T)~\supset~\cdots\) will be called a trapped attractor, with \ (T\) as trapping neighborhood.
Lorenz attractor - Encyclopedia of Mathematics
网页2020年6月6日 · The concept of an attractor, that is, an attracting set, often includes only the latter of these two properties; however, both the Lorenz attractor and other practically important attractors have both these properties. The Lorenz attractor first appeared in numerical experiments of E.N. Lorenz [1], who investigated the behaviour of the ...