{"id":{"repo_id":"ohiolink","oai_identifier":"oai:etd.ohiolink.edu:ysu1364545282"},"canonical_url":"https://search.dev.ndltd.org/etd/ohiolink/oai:etd.ohiolink.edu:ysu1364545282","repository":{"repo_id":"ohiolink","name":"OhioLINK","base_url":"https://etd.ohiolink.edu/acprod/odb_etd/ws/oai/oai"},"display":{"title":"Chaos and Dynamical Systems","abstract":"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. 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