What is a strange attractor?

Strange Atractor is a concept in the theory of chaos used to describe the behavior of chaotic systems. Unlike a normal attractor, a strange attractor predicts the formation of semi -state patterns, which lacks a solid spatial position. The equation that includes a strange attractor must include non -integral dimensional values, resulting in a trajectory formula that seems to appear in the system randomly. Strange attractors appear both in natural and theoretical diagrams of phase space models. After they have passed at a certain distance from the attractor, these components accept a stable configuration and resist minor disorders in the system. For example, the lowest point in the pendulum arch is a simple attractor. The Penduulum phase space model will map a number of points that approach a low point every time their trajectory takes them around until they clump around the low point in a stable configuration. Small system disorders, such as the table, do not disturb this stability too much.

Podivný atraktor je zvláštní v tom, že může předpovídat určité charakteristiky chaotického vzoru ve velkém detailu, aniž by byl schopen přiřadit konkrétní prostorové umístění vzoru. A simple example in nature is the currents of convection in a closed box filled with gas and placed through a uniform heating element. Počáteční stav systému může být popsán několika jednoduchými rovnicemi, které mohou předpovídat obecné chování a velikost konvekčních proudů v plynu v průběhu času s velkou přesností. However, the chaotic nature of the turbulence equations causes the currents within the randomly appear. The exact location of any future current is theoretically impossible to predict in such a system.

patterns can become even more exotic in the case of theoretical models that include a fractal dimension. In these cases, the presence of a strange attractor in a numbertost. Mapping and simple equations containing a fractal dimension can result in decorated and other world patterns. Such equations, when a computer mapped on a three -dimensional pipe, is sometimes appreciated as objects of beauty themselves.