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CHAOS, AND WHAT TO DO ABOUT IT


PHYS 7224

fall 2007
Tu,Th 1:352:55 Howey S204

ChaosBook.org/~predrag/courses/PHYS722407
svn: $Author: predrag $  $Date: 20071214 17:50:50 0500 (Fri, 14 Dec 2007) $
Course Schedule
Always download chapters from this homepage,
rather than from
ChaosBook.org .
This homepage is more uptodate.
August 21
1.
A brief history of motion in time

homework #1:
(1.1) and (1.2) due Tue Aug 28,
part I: Geometry of chaos
August 23
2.
Trajectories

homework #2:
(2.1), (2.7), and (2.8), optional (2.6)
due Tue Sep 4.
August 28
3.
Maps

homework #3:
(3.1) and (3.2),
due Tue Sep 4.
August 30
4.
Stability

homework #4:
(4.1), (4.3) and (4.4),
due Tue Sep 11.
September 3
Labor Day
September 4
5.
Cycle stabilities are invariant

September 6
6.
Billiards

September 11
7.
Billiard dynamics, stabilities

homework #5:
(7.1), (7.2), (7.3), extra points: (7.4), (7.6) 
due Tue Sep 18.
September 13
8.
Partitioning state space

September 18
9.
Kneading theory

homework #6:
(8.3), (7.5), (10.4), (10.6) extra points: (8.4), (10.5) 
due
Thursday Sep 27.
September 20
10.
Markov graphs

September 25
11. Stretch and fold for pro bakers
homework #7:
(11.1), (11.3) extra points: (11.7), (11.9) 
due Tue Oct 2
September 27
12. Fixed points: where are they?

part II: Chaos rules
October 2
13. Chaos for accountants

homework #8:
(12.1), (12.3); either (12.5) pinball or (12.7) Rossler;
optional (12.2), (12.6), (12.10)
 due Tue Oct 16
October 4
14.
Topological entropy
our first trace formula,
the rest is details
October 69
Midterm recess
October 11
15.
Topological zeta function
determinants of graphs; fear
not infinite partitions
Friday Oct 12
last day to drop the course
October 16
 lecturer John F. Gibson
16.
Learning how to measure

homework #9:
9.5 (from the current version Chap 9);
13.3, 13.4, 14.1, 14.3, 14.5
; optional 13.15, 14.7
 due Thu Oct 25
October 18
 lecturer John F. Gibson
17.
Not your average theory

October 23
 lecturer John F. Gibson
18.
All that was left was a trace

homework #10:
14.10 (from the current version Chap 14), 15.2, 15.4, 17.2
 due Tue Oct 30
October 25
 lecturer John F. Gibson
19.
And trace again

October 30
 lecturer Alexander Grigo
20.
Determined we push on

Wednesday, Oct 31
spring registration starts; may we
recommend the
Group Theory course?
November 1
 lecturer John F. Gibson
21.
Recycle: it's the law

November 6
 lecturer John F. Gibson
22.
Recycling recycling

homework #12:
9.7, optional: 9.6, 9.8
 due Tue Nov 13
November 8
 lecturer John F. Gibson
23.
Still recycling

Tuesday, Nov 13
spring registration ends
November 13
24.
Cycling for (discrete) fundamentalists

homework #13:
18.7, 18.8, 19.3, optional 19.5
 due Tue Nov 20
November 15
25.
Cycling for (smooth) fundamentalists

November 20
26.
Still discretely back pedaling

no homework this week
November 2225
Institute holiday  Thanksgiving
November 27
27.
Symmetry factorization of spectral determinants

homework #14:
23.1, 23.2, 23.3, optional 23.6
 due Tue Dec 4
part III: Chaos is your friend
November 29
28.
From deterministic chaos to nonequilibrium statistical mechanics

December 4
29.
Sometimes They come back
December 6
30.
All the group theory you will ever need in one easy lectures

Friday Dec 7:
classes end
Friday December 14
10:55am
Chaos project due
Course Instructor Opinion Survey
Please fill out the online
Course Survey. This is an opportunity
to provide feedback regarding the contents of the course, the style and
quality of the presentation, or any other aspect of the course. Tell us
what you liked and what you did not like. Your input is very valuable
and will benefit students taking this course in subsequent years.
grades deadline
Mon Dec 17
svn: $Author: predrag $  $Date: 20071214 17:50:50 0500 (Fri, 14 Dec 2007) $