Math 145. Introduction to Chaos, aka Intro to Nonlinear Dynamics. Prof.: Richard Montgomery.
TA: Yusuf Goren: yusuf.goren@gmail.com
syllabus
Original Papers

Homework Assignments
Homework Solutions
Lectures
******
2, 3, N body tours
***********
N-body simulator (thanks Amy)
pendula and other toys physics lab simulator (thanks Chris)
Phase plane (wiki)
locally crafted phase portraits (LeBailly)
homoclinic tangles to horseshoes
homoclinic tangle and horseshoes sites
vector field analyzer

2-dimensional maps
Cat map 0 , cat map 1 , cat map 2 ,
Smale's horseshoe
Henon map

TEXTS:
[1] An Introduction to Chaotic Dynamical Systems, 2nd Ed. by Robert Devaney and Robert L. Devaney (2003)
[2] Nonlinear Dynamics And Chaos: With Applications To Physics, Bio... (Studies in Nonlinearity) by Steven H. Strogatz
[3] recommended (not req.) . `Chaos and Fractals'. Proc. of Symp. in Applied Math. v. 39, AMS put.

Heroes & Heroines:



standard map
Lorentz attractor
a Julia Set


to get a quick feel for subject play with: cobweb plotter
taken from:
Devaney's site, a great place to explore the basics.



other great sites:
1-D
*** Logistic Map
Logistic Map applet
*** Lorenz attractor
***potpourri of interactive maps
From earlier in class: Group Assignments
R. May reading breakdown:
1's- Introduction, First order difference equation, and Dynamical Properties. page 1-4 (459-462)
2's- Fine Structure of the Chaotic regime page 4-6 (462-464)
3's Practical Problems, Curiosities. pages 6-8 (464-466)
4's Applications, Higher dimensions, and conclusion page 8-9 (466-467)
Read the section corresponding to your number. Be ready to discuss on Thursday.