Physics 313: Lecture 11 Monday, 9/29/08

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Physics 313: Lecture 11

Monday, 9/29/08

And how far can a dog run into the woods?

Comments

Please start reading Chapter 5.

Assignment 4 available later this afternoon from the course web page.

This week's Physics colloquium, on

Wednesday 10/1 at 3:30pm, by Professor

Reka Alberts is on network theory and systems biology by one of the pioneers of network physics. Please try to attend if you can.

Class Discussion: Future Course Topics?

Option 1: stay within the Cross-Greenside book.

Cover Chapters 5, 6, parts of 7-11, and some lectures on analysis of spatiotemporal data.

Option 2: Cover Chapter 5, discuss spatiotemporal data analysis, discuss some details of the amplitude equation formalism, but spend time discussing networks and self-organized criticality.

Some other variation?

Also: projects or more lectures?

At the Blackboard: Amplitude Equation for a

Single Fourier Mode

Gives existence and stability of stationary solutions to lowest order.

A surprise: translational symmetry in the extended coordinates implies that only a pitchfork bifurcation can occur near onset.

Bifurcation Diagram for Type Is Pattern

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