Back to Homepage
Quick Links
Mathematics Department
Matlab Tutorial
Latex Turtorial
Not So Short Guide to Latex (pdf)
How to write mathematics (pdf)
Templates
Euler Integration (mfile)
Phase Portraits (mfile)
How to plot phase portraits (pdf)
Latex Template (txt)
Latex Template (pdf)
Latex Template Figure 1 (pdf)
Latex Template Figure 2 (pdf)
BSLC Lab Instructions
Opening and using Matlab
Opening and using MikTeX

Applied Nonlinear Dynamics, Fall 2010
This is a short, six week, introduction to nonlinear dynamics primer for students interested in mathematical modeling and applied math research. It is taught directly out of the Part I of Nonlinear Dynamics and Chaos by S. Strogatz. The course will be a broad introduction, requiring only single variable calculus as a prerequisite. As in any applied mathematics course, the goal is to come away with an understanding of the mathematical tools and features of nonlinear dynamics:
A geometric way of thinking
Fixed point and stability analysis
Existence and uniqueness of solutions
Applications to physical systems and modeling
Schedule
DATE

DAY

TIME

PLACE

TOPIC

Oct. 1

F

5:006:30

TBA

Flows on the line (Ch. 12)

Oct. 4

M

5:006:30

TBA

Bifurcations (Ch. 3)

Oct. 8

F

5:006:30

TBA

Flows on the circle (Ch. 4)

Oct. 11

M

5:006:30

TBA

2D systems and phase portraits (Ch. 56)

Oct. 15

F

5:006:30

TBA

Phase portrats (Ch. 6)

Oct. 18

M

5:006:30

TBA

Limit cycles (Ch. 7)

Oct. 22

F

5:006:30

TBA

Bifurcations revisited (Ch. 8)

Oct. 25

M

5:006:30

TBA

Oscillating chemical reactions

Oct. 29

F

5:006:30

TBA

The tumbling box


