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 Edward Lorenz. | [[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. | ||
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. | ||
== 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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== Nonfiction cross-reference == | == Nonfiction cross-reference == | ||
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* [[Edward Lorenz (nonfiction)]] | * [[Edward Lorenz (nonfiction)]] | ||
* [[Mathematics (nonfiction)]] | * [[Mathematics (nonfiction)]] | ||
== External links == | == External links == | ||
Revision as of 10:06, 13 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.
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.
Fiction cross-reference
Hamangia figurines computing the Lorenz system. See Scrying engine.
Nonfiction cross-reference
External links
- Lorenz system @ Wikipedia