Basics of Dynamical Systems and Bifurcation Theory

by Henk Dijkstra and Navid Constantinou

This repository contains materials used in the 'mini' course "Basics of Dynamical Systems and Bifurcation Theory" which was held between 20th and 31st of January, 2020 at the Research School of Earth Sciences, Australian National University.

Lectures (Henk)

• Lecture 1: Basics of Dynamical Systems Slides, Notes

• Lecture 2: Basics of Bifurcation Theory Slides, Notes

• Lecture 3: Computing Bifurcation Diagrams Slides, Notes, AMOC bifurcation notebook, ENSO bifurcation notebook

Workshops (Navid)

• Workshop 1: Dynamical Systems: Basic concepts, attractors, stability, and numerical integration

• Workshop 2: Dynamical Systems: Various examples and a first taste of bifurcations

• Workshop 3: Bifurcations

Bibliography

• An excellent reference is Strogatz's book

Strogatz, Steven H. Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering. CRC Press, 2018.

Those blessed with ANU credentials can access the book through the ANU Library.