Ordinary Differential Equations. Chapter 3, Lecture 2. Behavior near invariant sets. Stability.

Ordinary Differential Equations. Chapter 3, Lecture 2. Behavior near invariant sets. Stability.

Chapter 3, Lecture 2. In this lecture I will discuss how we study the behavior near invariant sets and some concepts of stability relevant to invariant sets.

The course follows my open textbook: Wiggins, Stephen (2017): Ordinary Differential Equations. figshare. Book.
https://doi.org/10.6084/m9.figshare.5...

The background image is from the book by Mancho, A. M., Curbelo, J., Wiggins, S., Garcia-Garrido, V. J., & Mendoza, C. (2015). Beautiful geometries underlying ocean nonlinear processes. A Voyage Through Scales.

The audio clip is from the YouTube Audio Library and is entitled “Satisfaction Guaranteed” by Dan Lebowitz.

License
Creative Commons Attribution license (reuse allowed)