Lorenz system (nonfiction): Difference between revisions
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[[File:Lorenz_attractor_trajectory-through-phase-space.gif|frame|A sample solution in the Lorenz attractor when ρ = 28, σ = 10, and β = 8/3]]The '''Lorenz system''' is a system of ordinary differential equation (the Lorenz equations) first studied by | [[File:Lorenz_attractor_trajectory-through-phase-space.gif|frame|A sample solution in the Lorenz attractor when ρ = 28, σ = 10, and β = 8/3]]The '''Lorenz system''' is a system of ordinary differential equation (the Lorenz equations) first studied by Edward Lorenz. | ||
== Description == | |||
It is notable for having chaotic solutions for certain parameter values and initial conditions. | It is notable for having chaotic solutions for certain parameter values and initial conditions. | ||
In particular, the Lorenz attractor is a set of chaotic solutions of the Lorenz system which, when plotted, resemble a butterfly or figure eight. | In particular, the Lorenz attractor is a set of chaotic solutions of the Lorenz system which, when plotted, resemble a butterfly or figure eight. | ||
== Nonfiction cross-reference == | == Nonfiction cross-reference == | ||
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* [[Edward Lorenz (nonfiction)]] | * [[Edward Lorenz (nonfiction)]] | ||
* [[Mathematics (nonfiction)]] | * [[Mathematics (nonfiction)]] | ||
== Fiction cross-reference == | |||
[[File:Hamangia-figures-Lorenz-attractor.jpg|thumb|200px|left|Hamangia figurines computing the Lorenz system. See [[Scrying engine]].]] | |||
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== External links == | == External links == | ||
Revision as of 10:07, 12 June 2016
A sample solution in the Lorenz attractor when ρ = 28, σ = 10, and β = 8/3
The Lorenz system is a system of ordinary differential equation (the Lorenz equations) first studied by Edward Lorenz.
Description
It is notable for having chaotic solutions for certain parameter values and initial conditions.
In particular, the Lorenz attractor is a set of chaotic solutions of the Lorenz system which, when plotted, resemble a butterfly or figure eight.
Nonfiction cross-reference
Fiction cross-reference
Hamangia figurines computing the Lorenz system. See Scrying engine.
External links
- Lorenz system @ Wikipedia