About CSYS 5766 A

Discrete and continuous dynamical systems, Julia sets, the Mandelbrot set, period doubling, renormalization, Henon map, phase plane analysis, and Lorenz equations. Prerequisite: Graduate student or Instructor permission. Cross-listed with: MATH 5766.


Prereqs: MATH 2522 or MATH 2544; Open to Degree and PACE students; Cross listed with MATH 5766 A & colocated with MATH 3766 A; Total combined enrollment: 40

Section Description

This course investigates the mathematical phenomenon of 'chaos' encountered when attempting to predict the future state of any complex system. The Earth's atmosphere represents the hallmark example of chaotic behavior; famously rendered in the metaphor of a butterfly flapping its wings in Brazil setting off a tornado weeks later in Texas. Former undergraduate and graduate students in math, physics, computer science, engineering, biology, and a few other areas have broadened their understanding of mathematical modeling of nonlinear dynamical systems through this course. System behavior that experiences bifurcations from one attracting state to another will be understood from a theoretical, experimental, and numerical perspective.

Section Expectation

The course is mainly lecture based, with interaction taking place outside of the class through a course twitter account and weekly HW help sessions during office hours. The course requires some experience with Linear Algebra, and programing experience is suggested (but not required).


Weekly assignments (12 total) consist of 5 questions (4 textbook questions and a single programming exercise). There will be a pair of take-home exams at the midpoint and end of the course. HW and Exams are weighted equally.

Important Dates

Note: These dates may change before registration begins.

Note: These dates may not be accurate for select courses during the Summer Session.

Last Day to Add
Last Day to Drop
Last Day to Withdraw with 50% Refund
Last Day to Withdraw with 25% Refund
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Interest Form

CSYS 5766 A is closed to new enrollment.

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