Dynamical Systems

1. Variational Integration of Mechanical Systems
   • Student: Kirk Nichols
     
   • Faculty Advisor: Todd Murphy
     
2. Optimizing Formal Series Expansions for Symplectic Maps
   • Student: Brandon Gonzales
   • Faculty Advisor: James Howard
     
   • Collaborator: James Meiss
     
3. Chaotic Advection and Blinking Vortices
   • Students: Ryan Schilt, Joe Adams, Anna Lieb
   • Faculty Advisor: Jim Meiss
   • Graduate Mentor: Krissy Snyder
     
4. Finite Time Lyapunov Exponents (FTLE)
   • Students: Ryan Thorpe and Nick Weinreich
   • Faculty Advisor: James Meiss
   • Graduate Mentor: Brock Mosovsky
5. Using Ideas of Dynamical Stability to Explore Gait
   • Students: Tim Dunn and Ignas Satkauskas
   • Faculty Advisor: Alaa Ahmed
   • Graduate Advisor: Krissy Snyder
6. Distribution of Values in FTLE Fields
   • Student: Shaun Starbuck
   • Faculty Advisor: James Meiss
   • Graduate Advisor: Brock Mosovsky
     
7. FTLE of the Standard Map
   • Student: Pavel Zalinsky
   • Faculty Advisor: Jim Meiss
   • Graduate Advisor: Brock Movsky
     
8. Finding the Hausdorff Dimension of a Self-Affine Set
   • Student: Marshall Carpenter
   • Faculty Advisors: James Curry and Anne Dougherty