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Chaos and Dynamical Systems

Krcelic, Khristine M
http://rave.ohiolink.edu/etdc/view?acc_num=ysu1364545282

Abstract Details

2012, Master of Science in Mathematics, Youngstown State University, Department of Mathematics and Statistics.
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.
Eric Wingler, PhD (Advisor)
Zbigniew Piotrowski, PhD (Committee Member)
Jamal Tartir, PhD (Committee Member)
25 p.
Applied Mathematics; Mathematics
chaos theory; dynamical systems; butterfly effect

Recommended Citations

Citations

  • Krcelic, K. M. (2012). Chaos and Dynamical Systems [Master's thesis, Youngstown State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1364545282

    APA Style (7th edition)

  • Krcelic, Khristine. Chaos and Dynamical Systems. 2012. Youngstown State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ysu1364545282.

    MLA Style (8th edition)

  • Krcelic, Khristine. "Chaos and Dynamical Systems." Master's thesis, Youngstown State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1364545282

    Chicago Manual of Style (17th edition)

ysu1364545282
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© 2012, all rights reserved.
This open access ETD is published by Youngstown State University and OhioLINK.