153
edits
Lorenz Attractor: Difference between revisions
no edit summary
(Created page with "<div class="floatright" style="text-align: center"> center|class=shadow|300px </div> From Wikipedia, the free encyclopedia The Lorenz system is a...") |
No edit summary |
||
| (2 intermediate revisions by the same user not shown) | |||
| Line 2: | Line 2: | ||
[[File:lorenzattractor.png|center|class=shadow|300px]] | [[File:lorenzattractor.png|center|class=shadow|300px]] | ||
</div> | </div> | ||
'''Edward Norton Lorenz'''(b.1917) | |||
''''' Lorenz system''''' 1963 | |||
The Lorenz system is a system of ordinary differential 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. In popular media the 'butterfly effect' stems from the real-world implications of the Lorenz attractor, i.e. that in any physical system, in the absence of perfect knowledge of the initial conditions (even the minuscule disturbance of the air due to a butterfly flapping its wings), our ability to predict its future course will always fail. This underscores that physical systems can be completely deterministic and yet still be inherently unpredictable even in the absence of quantum effects. The shape of the Lorenz attractor itself, when plotted graphically, may also be seen to resemble a butterfly. | The Lorenz system is a system of ordinary differential 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. In popular media the 'butterfly effect' stems from the real-world implications of the Lorenz attractor, i.e. that in any physical system, in the absence of perfect knowledge of the initial conditions (even the minuscule disturbance of the air due to a butterfly flapping its wings), our ability to predict its future course will always fail. This underscores that physical systems can be completely deterministic and yet still be inherently unpredictable even in the absence of quantum effects. The shape of the Lorenz attractor itself, when plotted graphically, may also be seen to resemble a butterfly. | ||
| Line 9: | Line 12: | ||
*[https://en.wikipedia.org/wiki/Lorenz_system Lorenz_system] | *[https://en.wikipedia.org/wiki/Lorenz_system Lorenz_system] | ||
== Discussion:== | == Discussion:== | ||
The Lorenz Attractor is currently suggested to be removed from the wall. | |||