Date of Defense




First Advisor

John W. Petro, Mathematics and Statistics

Second Advisor

Gary Chartrand, Mathematics and Statistics

Third Advisor

Arthur T. White, Mathematics and Statistics


The concept of Developmental Feedback is one which plays a major role in day to day life processes. The author begins by introducing common examples of Feedback in everyday life with the intention of preparing the students' mind to look at environmental and mathematical behavior from an enhanced perspective. After this first look at the general, intuitive role of feedback the author explores it mathematically, with discussions on symbolic dynamics and iterative processes. Upon examination the author will access the realm composed of Fractals and Chaotic systems. Then the author goes into detail of examples, properties and construction of these mathematical creations. Finally the author shows how working with these mathematical processes can lead to a better understanding of the world and ultimately provide a glimpse at the underlying mechanisms at work.

Access Setting

Honors Thesis-Campus Only