Albion College

Mathematics and Computer Science

Mathematics and Computer Science

COLLOQUIUM

Breaking Chaos

Ryan Huddy

In mathematics, chaos can be defined as a deterministic dynamical system which has aperiodic long-term behavior and exhibits sensitive dependence on initial conditions. Surprisingly, such systems can be coupled together and made to synchronize. If their communication is delayed, this chaotic behavior can also be broken and stable periodic behaviors will emerge from the coupled system. Join me as we study the basics of chaotic systems and explore some examples of the synchronization of chaos (with and without delay).