Introduction to Nonlinear Dynamics and Chaos
Please address any questions regarding course registration to the person with the answers:
Ms Lynn Severin, <email@example.com>
|Professor Eric Shea-Brown||
Alex Cayco Gajic
|Guggenheim 415F|| |
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,
and via skype during office hours, at alex.amath.uw, panu.amath.uw
Weekly details on course Moodle Page!
HW due most Fridays at 1 PM
MT: Friday Feb. 11, in class
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
(1) One-dimensional systems
First-order ordinary differential equations and initial-value problems
Nonlinear differential equations and flows on the line
Flows on the circle
(2) Two (and higher)-dimensional flows
Linear equations with constant coefficients: matrices and eigenvalues
The phase plane
Bifurcations in two dimensional systems
(3) Discrete-time systems
Introduction to maps
The Lorenz equations
Additional topics in fractals and chaos
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.
!!!! 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%.