A Skew Product Model for Hybrid Dynamical Systems

Document Type

Presentation Abstract

Presentation Date

9-17-2019

Abstract

A hybrid system is a dynamical system that exhibits both continuous and discrete behavior. Think of a bouncing ball: when the ball is in the air, its velocity and position are changing smoothly in time. However, when the ball hits the ground, it instantaneous reverses directions, exhibiting a discrete change in its velocity. In this talk, we’ll examine a particular type of hybrid system from the vantage point of skew products. We will begin by isolating the discrete behavior and examining its dynamics, exploring ideas such as chain recurrence and chaos. We’ll then examine the behavior of the product space, and explore different classical recurrence concepts within the context of the dynamics on the product space and projections.

Additional Details

Tuesday, September 17, 2019 at 3:00 p.m. in Math 103
Refreshments at 4:00 p.m. in Math Lounge 109

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