Category:Lorenz Attractor
Jump to navigation
Jump to search
This category contains results about the Lorenz attractor.
Definitions specific to this category can be found in Definitions/Lorenz Attractor.
The Lorenz attractor is a strange attractor contained in $3$-dimensional space under the flow which is the solution set to the Lorenz equations:
| \(\ds \dfrac {\d x} {\d t}\) | \(=\) | \(\ds 10 \paren {y - x}\) | ||||||||||||
| \(\ds \dfrac {\d y} {\d t}\) | \(=\) | \(\ds -x z + 28 x - y\) | ||||||||||||
| \(\ds \dfrac {\d z} {\d t}\) | \(=\) | \(\ds x y - \dfrac 8 3 z\) |