1st Edition
Discovering Dynamical Systems Through Experiment and Inquiry
Table of Contents
Chapter 1: An Introduction to Dynamical Systems
Chapter 2: Sequences
Chapter 3: Fixed Points & Periodic Points
Chapter 4: Analysis of Fixed Points
Chapter 5: Bifurcations
Chapter 6: Examples of Global Dynamics
Chapter 7: The Tools of Global Dynamics
Chapter 8: Examples of Chaos
Chapter 9: From Fixed Points to Chaos
Chapter 10: Sarkovskii's Theorem
Chapter 11: Dynamical Systems on the Plane
Chapter 12: The Smale Horseshoe
Chapter 13: Generalized Symbolic Dynamics
Biography
Tom LoFaro: Tom LoFaro is the Clifford M. Swanson Professor of Mathematics at Gustavus Adolphus College. He earned his Bachelor's and Master's degrees in mathematics from the University of Missouri. He then earned his Ph.D. from Boston University in mathematics under the direction of Nancy Kopell. Tom's research interests are in the applications of dynamical systems to mathematical biology in general and neuroscience in particular and is an Affiliated Faculty Member of the Institute for the Study of Decision Making at New York University. Tom has been active in the differential equations and dynamical systems education community and in the past worked closely with the Community for Ordinary Differential Equations Educators where he has published several articles their journal. Jeff Ford: Jeff Ford is a Visiting Assistant Professor of Mathematics at Gustavus Adolphus College. He earned his Bachelor’s degree from Gustavus Adolphus College, his Master’s degree in mathematics from Minnesota State University – Mankato, and his Ph.D. in mathematics from Auburn University, studying under Dr. Krystyna Kuperberg. Jeff is interested in the existence volume-preserving dynamical systems with unique properties. Jeff uses and assesses a variety of active learning techniques in his class including inquiry-based learning and team-based learning. His scholarship in this area centers on understanding how active learning techniques improve confidence and reduce anxiety in undergraduate students.
