Week 6: March 6 - 10¶
The “Butterfly Effect”¶
The “butterfly effect” describes systems where a small change in the initial conditions can result in large differences in outcome at a later time. We examine this idea using the “Mayfly model” as an example, exploring circumstances in which nearby trajectories either converge or diverge.
Linear Least Squares¶
The problem of finding a straight line which best fits a set of points arises naturally when we study the “butterfly effect”. We explore what a “good fit” means, and how to find one.
Week 6 Notebook¶
NumPy¶
- Multi-dimensional arrays
- Array indexing and slicing
- mean
Matplotlib¶
- loglog
- semilogx
- semilogy
- subplot
- xticks, yticks