Introduction to Nonlinear Dynamics and Chaos
|Professor Joel Zylberberg||
|326 Lewis|| |
Office hours: Tuesday and Friday 3:30-4:30
I will be on Skype during my office hours for EDGE students and anyone else who can't make it in person
Skype name: joelzy.amath
Kam: W 11:00-12:00 (skype: kamerondeckerharris)
Pedro: Th 10:30-11:30 (skype: theamath581ta
Yes it says 581, and Pedro is TA'ing 402/502)
HW due most Fridays at 3 PM
MT: Feb 13 in class
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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.
For interest, here is A great recent paper on limit cycles and bifurcations in biological oscillators.
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, Wed Feb 13
!!!! 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.
!!!! 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.
Homework due most Fridays.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%.
U Washington takes academic honesty very seriously! You are expected to uphold the strong academic tradition here at UW.