MATH 2403: WEEK 9

Topics for this week are:

• The Energy Method
• Stability of Systems
• Phase Portraits
• Linear and Almost Linear Systems

Text coverage: Sections 9.1 and 9.2 of Edwards and Penney

Online resources:

• Computer Projects
  • Plotting Phase Portraits
• Other Resources
  • Table on Stability and Eigenvalues
  • Phase Portraits is a worksheet illustrating the phase plane, direction fields, and trajectories.
  • Linearization and Stability Examples of three systems having the same linearization at (0,0) yet with different behavior there.

---

Last Modified: . School of Mathematics, Georgia Institute of Technology.