Physics 221A | Spring 2017

Lecture Notes:

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

Student Lecture Summaries

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