Title: What is an Attractor?
Speaker: Dan Brogan (Ohio State University)
Abstract: In the study of dynamical systems, a set toward which points in a given system tend are called attractors. Attractors come up in the the study of a variety of diﬀerent types of systems, including pendulums, atmospheric convection, and ﬂuid motion. We will give some history of the study of dynamics as a ﬁeld and give some deﬁnitions for an understanding of dynamical systems. In addition, we will formally deﬁne attractors and do some calculations for several diﬀerent types of attractors.
The What is ...? seminar's main goal is to expose culturally ambitious participants to some mathematical notions not taught in standard courses. These topics form an important part of mathematical folklore, and may prove useful for doing research and enhancing teaching. Lectures will be given mostly by graduate and undergraduate student participants. Professors Vitaly Bergelson and Daniel Shapiro serve as coordinators/mediators.
The What is ...? Seminar is an event organized by the Mathematics Department, independent of SAMMS, but participants are encouraged to attend any meeting that seems intriguing! Let the attending mediator know you are a SAMMS participant.