Differential Equations

Nonlinear Systems

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In this session we will introduce a special type of 2x2 nonlinear systems, called autonomous systems. We will then develop some basic terminology and ideas for these systems.

Session Activities

Read the course notes:

• Nonlinear Systems: Introduction (PDF)
• The Phase Plane (PDF)

Watch the lecture video clip:

• The Relation Between Nonlinear Systems and First-order ODE’s

Read the course notes:

• First Order Autonomous ODE Systems and First Order ODE’s (PDF)

Check Yourself

Complete the problem set:

• Problem Set Part I Problems (PDF)
• Problem Set Part I Solutions (PDF)

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