University of California, Santa Barbara

Nonlinear Phenomena

ECE 183 / ME 169 / PHYS 106 - Spring 2013

Instructors:     Prof. Katie Byl
katiebyl@ece.ucsb.edu
Chris Steward (TA / Lab Instructor)        Chelsea Lau (TA / Lab Instructor)
steward@umail.ucsb.edu clau@umail.ucsb.edu

Lecture:   Tue, Thur 11am-12:15pm   Phelps 3505
Recitation 1:    Fri noon-12:50pm   HSSB 4201
Recitation 2:    Mon 6-6:50pm   ENGR2 2243

Hi! This is an undergraduate course on nonlinear dynamics (flows, bifurcations, chaos...), focusing on first- and second-order systems, and using Strogatz' excellent book on the subject.
(Preview the first two chapters at the link above...)

The PRIMARY course website is on Gauchospace, which requires you have UCSB login credentials... (Sorry! I wish I could open that site to the PUBLIC, but I cannot. And so, this page exists...) If you are enrolled in the class, be sure to go there to find up-to-date postings of assignments, solutions, and other files or announcements. This "mirror" site is primarily intended for prospective students or other curious individuals. Contact me via email if you have any questions about the materials here.

A course description and outline of topics can be found in the Syllabus.

Links to ANNOTATED LECTURE NOTES can be found here (last updated 11:35pm, 6/6/13): List of Lecture Notes.

Below is a list of other files (specifically for HW and Recitation) for the class, which is likely incompletely:
Week 1:     Fixed Points and Their Stability.     Syllabus, HW 1 (Rev. A) (due 4/11), Recitation 1 (4/5, 4/8), draw_cobweb.m
Week 2:     Oscillations. Numerical Methods.     HW 2 (due 4/23), HW 1 solutions, Recitation 2 (4/12, 4/15)
Week 3:     Bifurcations in 1D Systems.     -
Week 4:     Linear 2D Systems and Their Stability.     HW 3 (due 4/30), HW 2 solutions
Week 5:     Nonlinear 2D Systems; MIDTERM (May 2).     Midterm Review Notes (4/30) HW 3 solutions, Midterm
Week 6:     Conservative Sys.; Reversible Sys.; Index Theory.     HW 4 (due 5/16), Midterm Solutions, Recitation 4 (5/10, 5/13)
Week 7:     Poincare-Bendixson Thm.; Lienard Sys.     HW 5 (due 5/29), Recitation 5 (5/17, 5/20)
Week 8:     Bifurcations in 2D; Lorentz Systems, Strange Attractors    No recitation, due to holiday weekend.
Week 9:     Chaos Applications; Logistic Map     HW 6 (due 6/6)
Week 10:     Lyapunov Exponents; Fractals.     Review Session for Final, TBA

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Last Updated: June 6, 2013