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NONLINEAR DYNAMICS AND CHAOS

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BIOL456/CHEM456/PHYS456

SPRING 2007

TR 4:00-5:15

Instructor: Jim Pantaleone

**Elective:** This course counts as an upper division elective in
Biology, Chemistry and Physics.

**Activities:** Part of the class will be hands-on interations with
nonlinear systems such as **chaotic circuits **and
**sychronized metronomes.**

**Text: "**Nonlinear Dynamics and Chaos---With applications to Physics,
Biology, Chemistry and Engineering", by Steven Strogatz.

**Course Description**:An introduction to nonlinear dynamics and
chaos. Analytical methods, concrete examples and geometric intuition are
stressed. Topics covered include bifurcation, phase plane analysis, chaos,
iterated maps, period doubling , fractals and strange attractors. The emphasis
will be on applications.

**Prerequisites**: Calculus (MATH 202) and a year of physics (PHYS
123 and 124 or PHYS211 and 212) are essential. Also useful is a knowledge
of ordinary differential equations and linear algebra (knowledge of eigenvectors
and eigenvalues). Having some experience with numerical computation is
helpful but not necessary.

**Summer Precourse assignment:** Read the book Chaos"
by James Gleick. This enjoyable book gives a nice overview of chaotic
dynamics and how it came about. We will discuss the book in class.

**Fall 2005 course syllabus.**

**Web resources for
a similar course.**

Lab
at Cal Poly associated with Strogatz text.

**Explanation of Picture.** The graph at the top of the page shows
the hare and lynx poplulations versus time. These populations oscillate
with a periodf around 10 years.

Click on the picture for a detailled explanation.