Search 6,000+ CA Community College Courses
Systems of ODEs: Imaginary Eigenvalues and Center Fixed Points

Systems of ODEs: Imaginary Eigenvalues and Center Fixed Points

Steve Brunton via YouTube Direct link

Examples of physical systems with complex eigenvalues

2 of 7
Previous
Next

2 of 7

Examples of physical systems with complex eigenvalues

Class Central Classrooms beta

YouTube videos curated by Class Central.

Classroom Contents

Systems of ODEs: Imaginary Eigenvalues and Center Fixed Points

Automatically move to the next video in the Classroom when playback concludes
  1. 1 Overview
  2. 2 Examples of physical systems with complex eigenvalues
  3. 3 Quick recap of basic properties of complex numbers
  4. 4 Computing the eigenvectors
  5. 5 Writing the full solution
  6. 6 Geometric intuition: The solution is a rotation matrix
  7. 7 Adding small friction: Center becomes spiral sink

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Sign up for free
Someone learning on their laptop while sitting on the floor.