Рет қаралды 398
In this tutorial I will show you how to explore and plot systems of #ordinary #differential #equations. In particular, we explore the Lorenz system with the aid of #geogebra.
0:00 Intro
0:21 The Lorenz system
2:21 NSolveODE command
3:21 Construction in #geogebra
12:36 Final comments
• Full GeoGebra script and demos:
www.geogebra.org/m/fkym22qj
• Also check this version using the GeoGebra suite app:
• Lorenz Attractor | #ge...
• #geogebra Classic 6 online:
www.geogebra.org/classic
• Download #geogebra:
www.geogebra.org/download
• More interesting examples of strange attractors:
www.dynamicmath.xyz/strange-a...
If you plotted a different strange attractor, share it with me. Just send me a tweet @jcponcemath
📖 References:
• Lorenz E. N. (1963). Deterministic Nonperiodic Flow. Journal of the Atmospheric Sciences. 20(2): 130-141.
journals.ametsoc.org/view/jou...
• Runge-Kutta method
encyclopediaofmath.org/index....
en.wikipedia.org/wiki/Runge%E...
❤️ Support the channel on Patreon
/ jcponce
Or PayPal
paypal.me/jcarlosponce/
Or get a T-shirt
jcponcemath.secure-decoration...
∞ Thanks to all Patreons:
David Arso Civil, bleh, Dennis Watson, Miles Casado, Neil, Doug Kuhlmann, mirror, Newnome Beauton, Adam Parrott, Sophia Wood (Fractal Kitty), pmben, Abei, Edward Huff.
🎵 Music Credits
Dreams by Benjamin Tissot
Music: Bensound.com/free-music-for-videos
License code: UPPRL4IR3ZAPJZXY