Georgia Institute of Technology College of Sciences

The Standard Map is a discrete time area-preserving dynamical system and is one of the simplest of such systems to exhibit chaotic dynamics. Traditional studies of the Standard Map have employed symmetric forcing functions that do not induce a net flux. Although the dynamics of these maps is rich there are many systems which cannot be modeled with these restrictions. In this talk we will explore the dynamics of the Standard Map when the forcing is asymmetric and induces a positive flux on the system. We will introduce new numerical methods to study these dynamics and give an overview of how transport in the system changes under these new forces.