Geometric Dynamical Systems: Manifolds and Stability

By Christopher KRT Jones

University of North Carolina at Chapel Hill

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Abstract

These collected lectures go over key concepts in the derivation stable, unstable and neutral manifold theorems. The attached PDF notes in the supporting documents expand on these lectures.

 

This short lecture series was part of the MCRN Mathematics of Climate Modelling Course taught at the University of North Carolina by Chris Jones in 2013. This course was a second year graduate course in mathematics, cross listed with marine sciences, and the videos in this series are maintained as reference material for those interested in the subject.

In This Series

  1. Geometric Dynamical Systems: Manifolds and Stability Part I

    04 May 2016 | Presentations | Contributor(s): Christopher KRT Jones

    This is the first part of a series of dynamical systems lectures on the center, stable and unstable manifold theorems. This short lecture series was part of the MCRN Mathematics of Climate Modelling Course taught at the University of North Carolina by Chris Jones in 2013. This course was a...

  2. Geometric Dynamical Systems: Manifolds and Stability Part II

    04 May 2016 | Presentations | Contributor(s): Christopher KRT Jones

    This is the second part of a series of dynamical systems lectures on the center, stable and unstable manifold theorems. This is background lecture 3.1B for the Mathematics of Climate Modelling course.

  3. Geometric Dynamical Systems: Manifolds and Stability Part III

    04 May 2016 | Presentations | Contributor(s): Christopher KRT Jones

    This is the final part of a series of dynamical systems lectures on the center, stable and unstable manifold theorems. This is background lecture 3.1C for the Mathematics of Climate Modelling course.