Posted by: Dave Richeson | December 2, 2009

Applet for discrete dynamical systems

I’m teaching the last two weeks of one of my colleagues’ Differential Equations course. I’m leading the class through a chapter on discrete dynamical systems. In preparation for the first lecture I created a couple of java applets using Geogebra. I thought others might be interested in them, so I’m linking to them here.

The first applet illustrates the discrete logistic equation, which is given by P_{n+1}=kP_n(1-P_n).

The second applet allows the students to explore more general one-dimensional dynamical systems.

Enjoy!

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  1. [...] the logistic map: a Geogebra applet A few days ago I posted Geogebra applets illustrating discrete dynamical systems. I was using these in a differential equations lecture that I gave. In the next lecture I showed [...]

  2. [...] that is often used as an example of how chaotic solutions can arise in simple systems.  The first blog post over at Division by Zero used the free GeoGebra package to create the demonstration and a follow up post over at [...]

  3. [...] was discrete dynamical systems. I posted links to a few Geogebra applets that I made, namely, applets for illustrating one-dimensional dynamical systems and an applet to generate cobweb plots for the logistic [...]


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