Revision Complex
Strange Attractors
The Lorenz and Julian equations can be used to generate many different stable attractors. This includes points, sprials, going to infinity and strange attractors. Specifically, the Lorenz and Julian attractors are configured in a way to represent strange attractors. These strange attractors do not follow a normal geometric shape.
Attractor Points: 0
Attractor Type
Static Display?
If false, you can move the display around.
Display Settings
Display Offset
Lorenz Constants
Julian Constants
Use the settings above to adjust and create your own visualization. If you switch the "Static Display" setting to false, you can rotate and pan the display in 3D using your mouse.
The Lorenz and Julian equations are examples of attractors in non-linear systems. Lorenz showed how only slightly differing the initial input or measurements can create an extremely different output. This is often refered to as The Butterfly Effect, from Lorenz's Address at the Annual Meeting of the American Association for the Advancement of Science, titled "Predicatablilty: Does the Flap of a Butterfly Wing in Brazil Set Off a Tornado in Texas?", in December of 1979.
The Halvorsen attractor is another strange attractor. With the hard-coded settings, it appears somewhat like an image of a heart.
