Chapter 12. Deterministic Dynamical Systems
In this chapter, we will cover the following topics:
- Plotting the bifurcation diagram of a chaotic dynamical system
- Simulating an elementary cellular automaton
- Simulating an ordinary differential equation with SciPy
- Simulating a partial differential equation — reaction-diffusion systems and Turing patterns
The previous chapters dealt with classical approaches in data science: statistics, machine learning, and signal processing. In this chapter and the next chapter, we will cover a different type of approach. Instead of analyzing data directly, we will simulate mathematical models that represent how our data was generated. A representative model gives us an explanation of the real-world processes ...