- Instructor
- Chanh Kieu
- Location
- GY 2049
- Days and Times
- TR 3:00 - 4:15 pm
- Course Description
The course will cover the basic topics of applied nonlinear dynamics and time series analyses, with the tentative topics as follows:
Part 1: Nonlinear dynamics
- Flows, maps, fixed points, invariant sets
- Planar ODEs and Taylor's theorem
- Lyapunov functions, attractors, and stability analyses
- Poincare-Bendixson theorem and return maps
- Bifurcations and classifications
- Center manifold theorems
Part 2. Nonlinear time series
- Phase-space reconstruction
- Chaotic attractor and invariants
- Spectral analyses and noise filtering