CAS-598-Timeseries

Interactive Visualization of Classic Complex Timeseries

Logistic Map

The logistic map is a classic example of determinstic chaos. You can find out more about the map, on Wikipedia

The map is an iterative dynamical system, that has the following update rule: $x_{i+1} = r x_{i} *(1-x_{i})$, where its common to only apply this to $x \in (0,1)$

Despite it's elegent description, it contains a many diverse unfoldings. Depending on the value of $r$, successive iterations of this map can lead to fix points, limit cycles, and chaotic timeseries.

To play around with this, use the interactive visualization in ts_interactive/logistic.py

To launch the Bokeh server do the following:

1. setup a virtual enviroment python -m venv logistic
2. activate the virtual environment using source logistic/bin/activate
3. install the dependencies pip install -r requirements.txt
4. run bokeh serve --show ts_interactive/logistic.py

You can play around with different values of r and K to see what the return map, timeseries, and ordinal distributions look like.