2D and 3D Phase diagrams for chaotic maps

Plot phase diagrams for any chaotic map

The following code computes the 2D and 3D phase diagram, also called phase portrait, of several types of maps. The code is edited so that the diagrams can look their best way, so that you can use them in research papers

The code can be easily adapted for any chaotic map. Two examples are given here, the logistic and sine maps.

Before plotting, we alsl discard the transient behavior.

Video explaining the diagrams:

https://www.youtube.com/watch?v=a189B6PUzjw

Youtube channel

https://www.youtube.com/@lazarosmoysis5095

The following papers can be used as references for phase diagrams

https://www.stevenstrogatz.com/books/nonlinear-dynamics-and-chaos-with-applications-to-physics-biology-chemistry-and-engineering

https://www.routledge.com/Discrete-Chaos-With-Applications-in-Science-and-Engineering/Elaydi/p/book/9781584885924

https://link.springer.com/article/10.1007/s11071-022-07929-y

https://www.mdpi.com/2073-8994/15/3/726