Definition:Lorenz Equations
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Definition
The Lorenz equations are a system of differential equations embedded in cartesian $3$-space:
| \(\ds \dfrac {\d x} {\d t}\) | \(=\) | \(\ds 10 \paren {y - x}\) | ||||||||||||
| \(\ds \dfrac {\d y} {\d t}\) | \(=\) | \(\ds -x z + 28 x - y\) | ||||||||||||
| \(\ds \dfrac {\d z} {\d t}\) | \(=\) | \(\ds x y - \dfrac 8 3 z\) |
Also see
- Results about the Lorenz equations can be found here.
Source of Name
This entry was named for Edward Norton Lorenz.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): chaos
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): chaos