Week 5: February 27 - March 3

Deterministic Dynamical Systems

This week we study “deterministic dynamical systems”. These are systems which develop over time, where the current state completely determines the future.

Mayfly Model

The example we use is the “Mayfly model”, a discrete-time model of mayfly population dynamics. This model is developed in class, and we begin to explore the behavior of the model using a numerical simulation.

Yellow mayfly on leaf, by Michael Palmer Mayfiles, National Oceanic and Atmospheric Administration

Large numbers of mayflies often mature together within a short period of time, leading to swarms so thick that they blanket roads, buildings, and show up on radar.

Week 5 Notebook

Python

  • List concatenation

Matplotlib

  • “alpha” transparency values
  • text
  • annotate

Quiz 4: Lists

  • Creating lists
  • append
  • List indexing and slicing
  • List concatenation
  • List comprehensions
  • len

Sample Quiz 4