Introduction to the study of one-dimensional discrete-time nonlinear systems and their potential for chaotic behavior. The course will focus on investigations through computer experiments - numerical and graphical - and the mathematical analysis of the observed behavior. Students are expected to write code in at least one high-level language. Topics include orbit analysis, fixed and periodic points, graphical analysis, bifurcations, symbolic dynamics, chaos, and fractals. Additional topics selected from dynamics in the complex plane, higher dimensional maps, numerical computation of Lyapunov exponents, fractal dimension, Sarkovskii's theorem, and chaos control. Spring, even years.
Prerequisites: (MATH 231 Minimum Grade: C and CPSC 122) or (CPSC 121 Minimum Grade: C and MATH 350)
Prerequisite:
(CPSC 121 Minimum Grade: C
and MATH 350 Minimum Grade: D)
or (MATH 231 Minimum Grade: C
and CPSC 122 Minimum Grade: D)
Equivalent:
CPSC 455 - OK if taken since Spring 2022