Linear dynamical systems

Get inspired:

What do Romeo and Juliet have to do with dynamical systems?

By the end of this lesson, you should be able to:

  • Visualize vector fields in the phase plane.
  • Describe different types of fixed points.
  • Classify fixed points of 2 x 2 linear systems.
  • Draw phase portraits of 2 x 2 linear systems.

Before class, please:

  • Read Strogatz, Chapter 5
  • Watch Strogatz – [movie]
  • Read my notes – [notes]
  • CheckYourself

In class, we will:

After class, please:

  • Do post-class problems.