Introduction to Nonlinear Dynamics and Chaos
AMATH 402/502

 

Please address any questions regarding course registration to the person with the answers:

Ms Lynn Severin, <las25@u.washington.edu>

WINTER 2011

Instructor	TAs
Professor Eric Shea-Brown	Panu Sam-Ang Alex Cayco Gajic
Guggenheim 415F	Guggenheim 407
Office hours: W 6-7 PM EXCEPT week of 1/17; will be Tues 1/18 6-6:30 instead that week. If building locked, call my ofc. phone below. Skype name: ericsheabrown If skype not on during office hours, pls. call my ofc: 206-685-6635	Office hours -- in Guggenheim 406, M: 2:30-3:30 Tu: 11:30-12:30 Th: 5:30-7:00   and via skype during office hours, at alex.amath.uw, panu.amath.uw

Scheduling

Weekly details on course Moodle Page!

HW due most Fridays at 1 PM

MT: Friday Feb. 11, in class

 

*** LINK TO COURSE MOODLE PAGE ***

or type

moodle.extn.washington.edu

into browser ...

 

Textbooks, Notes, and Course Resources

The required text for this course is Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering, by S. Strogatz. Perseus Books, 2001.

Also: Prof. Bernard Deconinck's course notes for AMATH 402/502 -- linked through moodle page above.

OTHER COURSE RESOURCES:

Video by S. Strogatz -- Nonlinear dynamics and chaos: Lab demonstrations

JAVA and MATLAB software for odes -- pplane and dfield

 

TOPICS:

(1) One-dimensional systems
First-order ordinary differential equations and initial-value problems
Nonlinear differential equations and flows on the line
Bifurcations
Flows on the circle

(2) Two (and higher)-dimensional flows
Linear equations with constant coefficients: matrices and eigenvalues
The phase plane
Limit cycles
Bifurcations in two dimensional systems

(3) Discrete-time systems
Introduction to maps

(4) Chaos
Logistic map.
The Lorenz equations
Additional topics in fractals and chaos

CODE: logistic_map_demo.m, sin_map_demo, logistic_map_simulate_in_time.m, lorenz_sim_and_traj , henon_simulate_in_time

MOVIE: synchronized fireflies!

 

EXAMS AND GRADING:

Midterm in class,

!!!! BRING A BLANK EXAM BOOK TO THE MIDTERM !!!!

*** Edge students: contact EDGE office for exam arrangements -- as per their instructions, exams are done remotely in most cases. ***

Students in virtual sections: will take exam in class at same time as other on-campus students. Exam will be given to all students in Loew Hall room 216 (our classroom) AND overflow room Loew Hall 205.

Final

!!!! BRING 2 BLANK EXAM BOOKS TO THE FINAL !!!!

Edge students: contact EDGE office for exam arrangements. Students in virtual sections: will take exam at same time as other on-campus students.

Exam will be given to all students in our classroom AND overflow rooms that are listed as classrooms for the virtual sections.

FOR WINTER 2011: FINAL EXAM OVERFLOW ROOMS INCLUDE LOEW 202.

Homework due most Fridays -- see times and locations on Moodle page.

Late HW is not accepted, but the lowest HW score will be dropped. This policy is meant to assist in unexpected situations. In unusual extenuating circumstances involving more than one week, please contact the professor.

Homework is graded statistically.

Your course grade will be calculated via the following weights: homework 30%, midterm 30%, final 40%.