EAS G690 Advanced Seminar: Geophysical Non-linear Processes

30652 — Fall 2023

Chanh Kieu
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