Speaker: Dr. Lori Alvin, Bradley University
Title: Dynamical Systems and your Car Odometer
Abstract: One device that we take for granted within our cars is the odometer. The function is simple: for every mile that is driven, the odometer increases by 1. Since we work in a base ten world, if our car has 99,999 miles, when we add one, we say it "rolls over" to 100,000 miles. It turns out that this action of "addition by one with carry" appears frequently within dynamical systems. We will show how the concept of the car odometer can be generalized into an interesting collection of dynamical systems called odometers or adding machines. We will then talk about how these systems can change if we "speed them up" by considering "addition by X with carry," where X is allowed to be larger than one.
Thursday, September 14 at 12:20pm to 1:20pm