Chaos Theory and Equicontinuity.

Abstract

Chaos is a recently developed mathematical theory that has proved useful in the study of dynamical systems, including weather and climate, plate tectonics, and population dynamics. There is reason to believe that chaotic behavior of dynamical systems is closely related to the idea of equicontinuity, a concept introduced in the late 19th century. This project explored and analyzed the connections between chaos and equicontinuity.