Chaos and Dynamical Systems

Throughout the ages, mathematics has been evolving and creating new branches. In the middle to late twentieth century, a new branch formed: chaos. Chaos is the study of dynamical systems that vary greatly with respect to initial conditions. The slightest change in an initial condition, a seemingly unnoticeable change, can yield a drastically different result if the system is chaotic. Hence the common term relating to chaos theory, "the butterfly effect". Something as minute as the flap of a butterfly's wings could spawn a natural disaster half-way across the world. This thesis provides an insight to chaos from both a pure and an applied mathematician's point of view.

Name thesis:degree_name

Master of Science in Mathematics

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Department of Mathematics and Statistics

Grantor dc:publisher

Youngstown State University

Year dc:date

2012

Author dc:creator

• Krcelic, Khristine M.

Contributors dc:contributor

• Wingler, Eric

• Mathematics
• Applied Mathematics
• chaos theory
• dynamical systems
• butterfly effect

Statement dc:rights

• unrestricted
• This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.

Language dc:language

English

Repository record dc:identifier

http://rave.ohiolink.edu/etdc/view?acc_num=ysu1364545282

OAI identifier oai:identifier

oai:etd.ohiolink.edu:ysu1364545282