AMS Special Session on Difference Equations and Applications: Baltimore March 2014

Organizers: Steven J Miller (Williams College, sjm1@williams.edu) and Michael Radin (Rochester Institute of Technology, marsma@rit.edu)

• 8:00 a.m. Virus Dynamics on Star Graphs:
  YouTube talk: http://youtu.be/Cn2Mcnm5rYs           (click here for slides)     (click here for paper)
  Steven J Miller*, Williams College 
  (1098-00-48)
• 8:30 a.m. Coin flips, Fibonacci numbers and the longest gap!:
  YouTube talk: http://youtu.be/9936om8_Tkk     (click here for slides)
  Shiyu Li, University of California Berkeley 
  Steven Miller, Williams College 
  Philip Tosteson*, University of Michigan 
  (1098-05-84)
• 9:00 a.m. Mathematical modeling of the HIV/Aids epidemic in Cuba:
  YouTube talk: http://youtu.be/A8z3St0blDg         (click here for slides)
  Antonio Mastroberardino*, Penn State Erie, The Behrend College 
  Yuanji Cheng, Malmo University 
  Ahmed Abdelrazec, York University 
  Hao Liu, Arizona State University 
  (1098-92-50)
• 9:30 a.m. Dynamics of a Discrete Population Model for Extinction and Sustainability in Ancient Civilizations:
  YouTube talk: http://youtu.be/tni8Ev-DOyw             (click here for slides)
  Michael A. Radin*, Rochester Institute of Technology 
  Bernard P. Brooks, Rochester Institute of Technology 
  Tamas I. Wiandt, Rochester Institute of Technology 
  (1098-39-166)
• 10:00 a.m. Time Scales, Switching, Control, Survival and Extinction in a Population
  Dynamics Model with Time-Varying Carrying Capacity
  YouTube talk: http://youtu.be/8zQHyEpaJpE             (click here for slides)
  Harold M Hastings*, Simon's Rock of Bard College and Hofstra University 
  Michael Radin, Rochester Institute of Technology 
  (1098-39-83)
• 10:30 a.m. A Scheme for Modeling and Analyzing the Dynamics of Logical Circuits
  YouTube talk:   http://youtu.be/C5CahvBFgqU           (click here for slides)    (videos: clip 1    clip 2    clip 3)
  Aminur Rahman*, New Jersey Institute of Technology 
  (1098-37-142)

• 3:00 p.m. On the Boundedness of Positive Solutions of the Reciprocal Max-Type Difference Equation
  $\displaystyle{\max\left{\frac{A_{n}}{x_{n-k}}, \frac{B_{n}}{x_{n-\ell}}\right}}$ with Periodic Parameters
  YouTube talk:   http://youtu.be/qSyTp2T3iIE           (click here for slides)
  Candace M. Kent*, Virginia Commonwealth University 
  Michael A. Radin, Rochester Institute of Technology 
  (1098-39-183)
• 3:30 p.m. On the boundedness of positive solutions of the reciprocal max-type difference equation
  $x_n = \max_{1\le i\le t}\left{\frac{A^i_{n-i}}{x_{n-i}}\right}$ with periodic parameters.
  YouTube talk:                 (click here for slides)     (click here for paper)
  Daniel W. Cranston*, Virginia Commonwealth University 
  Candace M. Kent, Virginia Commonwealth University 
  (1098-39-115)
• 4:00 p.m. Folding planar systems into second-order difference equations.
  YouTube talk:    Talk cancelled due to illness             (click here for slides)
  H. Sedaghat*, Virginia Commonwealth University 
  (1098-39-144)
• 4:30 p.m.  Periodic windows within windows within windows.
  YouTube talk:     http://youtu.be/wmYNWemP5xY         (click here for slides)
  Madhura Joglekar*, Univ of MD College Park 
  James Yorke, Univ of MD College Park 
  (1098-37-28)
• 5:00 p.m. Avoiding extremes in chaotic systems.
  YouTube talk:    http://youtu.be/dC9sYgcpLwg          (click here for slides)
  Suddhasattwa Das*, University of Maryland, College Park 
  James A Yorke, University of Maryland, College Park 
  (1098-37-31)
• 5:30 p.m. Existence and uniqueness of an invariant point, and global attractiveness
  for a class of nonlinear, random difference equations.
  YouTube talk:             (click here for slides)
  Michael Marcondes de Freitas*, Department of Mathematics, Rutgers University 
  Eduardo D. Sontag, Department of Mathematics, Rutgers University 
  (1098-37-294)