basin of attraction

Informally, a set of points from which a dynamical system spontaneously moves to a particular attractor.
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Basin — may mean:* Drainage basin, hydrological basin or catchment basin, a region of land where water drains downhill into a specified body of water * Tarim Basin, located in Xinjiang, China and is one of the largest drainage basins in the world. *… … Wikipedia
Pontymoile Basin — is a mooring point and canal junction on the Monmouthshire Brecon Canal. Location The basin lies on the Pontypool stretch of the Monmouthshire Brecon Canal in the Pontypool suburb of Pontymoile in the historical county of Monmouthshire in south… … Wikipedia
Mackenzie Basin — For the basin of the Canadian river, see Mackenzie River. The Mackenzie Country s typical autumn colouration. The Mackenzie Basin (popularly and traditionally known as the Mackenzie Country), is an elliptical intermontane basin, located in the… … Wikipedia
Viaduct Basin — Infobox New Zealand suburbs name = Viaduct Basin caption1 = Lighter Basin area, at the western edge of the Viaduct Basin. city1 = Auckland City city2 = ward = established = 1990s (redeveloped as a residential / entertainment area) area =… … Wikipedia
Great Basin National Park — National preserve, eastern Nevada, U.S. Made a national park in 1986, the area was previously part of the Humboldt National Forest. It has an area of 121 sq mi (313 sq km) and consists of the southern part of the Snake Mountains, a chain that… … Universalium
Thuringian Basin — ▪ region, Germany German Thüringer Becken, fertile agricultural region of Germany, between the Harz mountains on the north and the Thuringian Forest range on the south. It extends westward from the Saxon lowland. The basin s eastward… … Universalium
Attractor — For other uses, see Attractor (disambiguation). Visual representation of a strange attractor An attractor is a set towards which a dynamical system evolves over time. That is, points that get close enough to the attractor remain close even if… … Wikipedia
Stability theory — In mathematics, stability theory deals with the stability of solutions (or sets of solutions) for differential equations and dynamical systems. Definition Let (R, X, Φ) be a real dynamical system with R the real numbers, X a locally compact… … Wikipedia
Iterative method — In computational mathematics, an iterative method is a mathematical procedure that generates a sequence of improving approximate solutions for a class of problems. A specific implementation of an iterative method, including the termination… … Wikipedia
Newton's method — In numerical analysis, Newton s method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real valued function. The… … Wikipedia