Module 5: Two Dimensional Linear Systems

Lectures and Related Content

Folder description

Please click the folder link above to access the Module 5 instructional content. Module 5 contains the following:

Lecture 5A: Motivation and Definitions
Lecture 5B: Phase Portraits and Stability
Lecture 5C: Classification of Linear Systems
Lecture 5D: Example
Lecture 5E: Complex Eigenvalues
Lecture 5F: Repeated Eigenvalues

Technical

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Module at a Glance How to complete this module:

Cell description

Extend the analysis of flows from one dimension to two and observe a greater diversity of dynamical behavior.

Objectives

By the end of this module, you will be able to:

Find and classify fixed points and draw phase portraits.
Interpret stability in two dimensions.
Classify linear systems using their eigenvalues.
Draw phase portraits using eigenvalues and eigenvectors.
Consider the “Romeo and Juliet” system and classify the various romantic styles.

How to complete this module:

Watch the video lectures 5A through 5F.
Complete the reading assignment.
Complete the quiz.

Technical

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Readings

Cell description

This week's reading assignment includes the following:

Strogatz, Steven H. Nonlinear Dynamics and Chaos with Student Solutions Manual: With Applications to Physics, Biology, Chemistry, and Engineering. CRC Press, 2018.
- Chapter 5 (pp. 125-141)

Technical

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