Category:Strange Attractors
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This category contains results about Strange Attractors.
Definitions specific to this category can be found in Definitions/Strange Attractors.
Let $S$ be a dynamical system in a space $X$.
Let $T$ be an iterative mapping in $S$:
- $x_{n + 1} = \map T {x_n}$
A strange attractor under $T$ is an infinite invariant set $A$ in $X$, usually an attractor, with additional properties:
- $(1): \quad$ The orbits of $T$ exhibit sensitive dependence on initial conditions
- $(2): \quad$ There exists an open set of points which are attracted to $A$.
Subcategories
This category has the following 3 subcategories, out of 3 total.