*This page was last updated 6/15/2017 *

Lecture 1,2 a- Overview, Basics of Attractors - *posted April 6, 2017*

Lecture1,2 b- Box Counting and Information Dimension - *posted April 6, 2017*

Lecture 3,4 a - Information Dimension and Attractor Core - *posted April 10, 2017*

Lecture 3,4 b - Dimension and How to Determine It. - *posted April 10, 2017*

Lecture 5a - Lyapunov Exponents 1 - *posted April 10, 2017*

Lecture 5b - Lyuapunov Exponents 2 - *posted April 10, 2017*

Lecture 5c - Entropy in Dynamical Systems - *posted April 10, 2017*

Lecture 6a - Basics of Synch 1 - *posted April 24, 2017*

Lecture 6b - Basics of Synch 2 - *posted April 24, 2017*

Lecture 6c - Synch-Technical Aside - *posted April 24, 2017*

Lecture 7 - Locking and Quasi-periodicity for Coupled Oscillators,Oscillator with Noise - *posted May 3, 2017*

Lecture 8 - Phase Dynamics in Continuous Media,Phase Diffusion and Roughening - *posted May 3, 2017*

Lecture 9 - Theory of the Kuramoto Transition I. - *posted May 4, 2017*

Lecture 10a - Kuramoto Transition II - *posted May 8, 2017*

Lecture 10b - Phase Turbulence,KS Equation - *posted May 8, 2017*

Technical Notes - Deriving Amplitude Equations. - *posted May 8, 2017*

Lecture 11 - Envelope Formalism ; Swift-Hohenberg,Newell-Whitehead Models
- *posted May 15, 2017*

Lecture 12 - Envelope Dynamics,Secondary Instabilities in Convection
- *posted May 18, 2017*

Lecture 13,14 - Theory of Pattern Phase Dynamics
- *posted May 26, 2017*

Lecture 15 - Fixed Flux Convection (Chapman-Proctor Model)
- *posted May 26, 2017*

Lecture 16 - Turing Patterns 1
- *posted May 31, 2017*

Lecture 17 - Fisher Equation and Fronts
- *posted June 06, 2017*

Lecture 18 - Fronts and Waves in Excitable Media : Fisher Revisited , Bistable/Fitzhugh-Nagumo,and Nonlinear Waves
- *posted June 13, 2017*

Lectures 1-3 - Clayton Anderson on Attractors and Dimension - *posted May 11, 2017*

Lectures 4-5 - Kurt Thompson on Lyapunov Exponents and Entropy - *posted May 11, 2017*

Lectures 6-7 - Jesper Pedersen on Basics of Synchronization - *posted May 19, 2017*

Lectures 8-10 - Roland Xu on Phase Roughening and Kuramoto Transition - *posted May 19, 2017*

Lectures 11-12 - Jiacong Li on Amplitude Equations for Convection Patterns - *posted May 26, 2017*

Lectures 13-14 - Robin Heinonen on Phase Dynamics and Fixed Flux Convection - *posted June 7, 2017*

Lectures 15-16 - Xiang Ji on Turing Patterns - *posted June 6, 2017*

Lecture 17 - Jorge Campos on the Fisher Equation and Fronts - *posted June 15, 2017*

Lecture 18 - Xiang Fan on Bistable Transition Fronts - *posted June 15, 2017*