Date of Award
2023
Document Type
Thesis
Degree Name
Master of Science in Engineering (MSE)
Department
Electrical and Computer Engineering
Committee Chair
Aubrey Beal
Committee Member
Laurie Joiner
Committee Member
Ned Corron
Subject(s)
Chaotic behavior in systems, Nonlinear oscillators
Abstract
Although the study of chaotic systems is theoretically mature for abounding examples, few are readily applicable to engineering problems. One notable barrier is the lack of analytic solution to guide or validate an engineered intention. In this thesis, a small set of chaotic systems known for their analytic solutions is expanded. Specifically, a known solvable second order solvable chaotic oscillator with a simple matched filter is extended such that the data rate is decoupled from the natural oscillation frequency of the oscillator. This development allows for high frequency applications without the need for high frequency switching. An extended, exact analytic basis function solution and return map are presented. The oscillator is validated via electronic hardware at audio frequencies where these experimental results closely match theoretical expectations.
Recommended Citation
Tseng, Micah, "Extended, exactly solvable chaotic oscillator" (2023). Theses. 612.
https://louis.uah.edu/uah-theses/612