A project to utilize my previous R package (not documented yet) SeriesXplorer on 1d mappings. Detection of periodicity, chaotic behaviors and animated visualizations are the major tasks. The secondary task is to test the acceleration of JIT on these codes. Videos will be uploaded to my YouTube channel. following CC. This repo follows MIT licence.
https://dsweb.siam.org/Software/1d-maps 1D Maps By James Meiss https://dsweb.siam.org/ The dynamical system web
However in this repo we will focus more on the visualization.
To fully benefit from R's ecosystem for our chao-crunching, you may install the following packages first. A number of the graphs are made possible thanks to ggplot2 https://github.com/tidyverse/ggplot2
It is very important for R users to know to work with this package (as it is almost always the most popular one). H. Wickham. ggplot2: Elegant Graphics for Data Analysis. Springer-Verlag New York, 2016.
RColorBrewer ggthemes https://github.com/jrnold/ggthemes
The power-spectral calculation and plotting need psd https://github.com/abarbour/psd
The package I had built to investigate series, calculate Cob-Web plot, and estimate Lyapunov-exponent, extract period is SeriesXplorer
Map3.R - containing the reporting function wrapped from many other packages Tent_Map.R - to test with tent mapping, see wiki https://en.wikipedia.org/wiki/Tent_map and Wolfram Math World page http://mathworld.wolfram.com/TentMap.html for more.