-1\right)^{2}+4\sigma \rho }}}}} The Lorenz attractor is difficult to analyze, but the action of the differential equation on the attractor is described by a fairly...

Rössler attractor was intended to behave similarly to the Lorenz attractor, but also be easier to analyze qualitatively. An orbit within the attractor follows...

strange attractor (see strange attractor below). If the variable is a scalar, the attractor is a subset of the real number line. Describing the attractors of...

fixed point in the attractor is contained in the strange attractor of the Hénon map. The Hénon map does not have a strange attractor for all values of...

Edward Norton Lorenz (May 23, 1917 – April 16, 2008) was an American mathematician and meteorologist who established the theoretical basis of weather and...

of dynamical systems, the double-scroll attractor (sometimes known as Chua's attractor) is a strange attractor observed from a physical electronic chaotic...

Irregular Attractors A New Finance Chaotic Attractor Hyperchaos Archived 2015-12-22 at the Wayback Machine Visions of Chaos 2D Strange Attractor Tutorial...

e., solutions) become the chaotic attractor; it does not appear when two orbits move toward the same point attractor. The above animation for double pendulum...

final attractor, and indeed both orbits shown in the figure on the right give a picture of the general shape of the Lorenz attractor. This attractor results...

resemble objects from the theory of dynamical systems, such as the Lorenz attractor: This analogy can be made rigorous: the n-dimensional m-symbol De Bruijn...