 | In this session we learn how to use a technique called linearization. This technique allows us to apply the qualitative methods we developed for linear systems (in the session on Phase Portraits) to the qualitative sketching of the phase portraits of autonomous nonlinear systems. |
Session Activities
Read the course notes:
Watch the lecture video clip:
- The Nonlinear Pendulum (00:47:10)
Read the course notes:
Watch the lecture video clip:
-
Example: Predator-Prey and Volterra's Principle (00:35:40)
Example: Predator-Prey and Volterra's Principle
> Download from iTunes U (MP4 - 87MB)
> Download from Internet Archive (MP4 - 87MB)
Read the course notes:
Watch the problem solving video:
- Linearization (00:15:54)
Check Yourself
Complete the problem sets:
- Problem Set Part I Problems (PDF)
- Problem Set Part I Solutions (PDF)
- Problem Set Part II Problems (PDF)
- Problem Set Part II Solutions (PDF)