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Joseph Skufca

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Professor and Chair
Clarkson University
PO Box 5815
Potsdam, NY 13699-5815

355 Science Center
Phone: 315-268-2399

PhD in Applied Mathematics, University of Maryland, College Park, 2005.
MS in Applied Mathematics, University of Maryland, College Park, 2002.
BS in English, United States Naval Academy, 1985 (with distinction).

Research Interest
My dissertation research focused on application of algorithms for numerical exploration of unstable invariant sets to low dimensional systems. In particular, the effort was focused on transient chaos within finite dimensional Galerkin models of planar Couette flow, with a goal of increasing the understanding of the onset of turbulence within these systems. Additionally, I am interested in modeling of complex and evolving networks, to include how such systems may be analyzed if the network topology is not observable. My general area of concentration is non-linear dynamics and control of chaotic systems. I have done some research in stochastic processes and hope to expand that work. In the future, I hope to explore the inter-relationships between noisy observations, adaptive control algorithms, and dynamic networks to provide more insightful models of conflict. Recent research has focused on application of datamining tools to complex data sets, to include datamining within the context of geospatially related information.

K. R. Gue, R. M. Meller, J. D. Skufca, "The Effects of In-the-Aisle Congestion on Picking Policies for an Order Fulfillment Center,"  IIE Transactions, vol 38; 10 (2006) (pdf) .

J. D. Skufca, James A. Yorke, B. Eckhardt, "Edge of Chaos in a Parallel Shear Flow," Physical Review Letters, vol 96;17 (2006) (pdf).

J. D. Skufca, "k-workers in a Circular Warehouse – A random walk on a circle, without passing," SIAM Review, vol 47;2  (2005) (pdf).

J. D. Skufca, "Analysis Still Matters: A Surprising Failure of Runge-Kutta-Felberg ODE Solvers," SIAM Review, vol 46; 4 (2004) (pdf).

J. D. Skufca, E. M. Bollt, "Communication and Synchronization in Disconnected Networks with Dynamic Topology – Moving Neighborhood Networks," Mathematical Biosciences and Engineering, vol 1; 2 (2004) (pdf).

J. D. Skufca, E. M. Bollt, "Feedback control with finite accuracy: more knowledge and better control for free," Physica D, vol 179, (2003) (pdf).

"Markov Partitions" (coauthored with E. M. Bollt) in Encyclopedia of Nonlinear Science (in press), Paul Sutcliffe, Routledge, 2004(pdf).

Boundary to Transient Turbulence in Plane Couette Flow
– Presented at Math Department seminar and Mechanical Engineering Seminar (Clarkson University), March 2006.

The Edge of Chaos – Presented at SIAM Conference on Dynamical Systems, Snowbird, Utah, May 2005.

The Edge of Chaos – Presented at University of Maryland Applied Dynamics Seminar, April 2005.

Analysis of the chaotic saddle in a 9-dimensional model of plane Couette flow – Presented at The United States Naval Academy, January 2005, and Clarkson University, February 2005.

Chaos in Two Fluids, (joint talk with Dr. J. Yorke and John Harlin).  Presented at the Inaugural Burgers Symposium, University of Maryland, November 2004.

Random Walk on a Circle Without Passing and Application to Order Fulfillment Centers.  Presented at Clarkson University, April 2004.

A Review of the 1965 Lorenz paper on the 28-variable Model of the Atmosphere – Presented at University of Maryland, February, 2002, and at USNA in April, 2002.

Feedback Control with Finite Accuracy Measurements – Better control and Greater Knowledge, for free.  Presented at University of Maryland Applied Dynamics Seminar, Spring, 2001, and USNA Applied Math Seminar, Fall 2001.

Applicability of Undergraduate Mathematics within the Navy Nuclear Propulsion Program.  Presented at USNA Mathematics Colloquium, Spring 2001.

Selected Work History
2005-Pres, Assistant Professor, Mathematics Department, Clarkson University

1985-2005, Submarine Warfare Officer in the United States Navy

2003-2005 All-Source Analyst, Defense Intelligence Agency. Provided technical direction to establish a Modeling and Simulation capability to address analysis of complex interconnected networks, to include both behavioral modeling and data-mining tools.

2003-2005 Research Fellow, United States Naval Academy

1998-2003, Instructor, Mathematics Department, United States Naval Academy.
  • Calculus I,II, and III, Calculus with Computers, Differential Equations, Probability and Statistics, Mathematics for Nuclear Power, Introduction to Computational Science and Engineering.
  • Member of organizing committee to establish a Computational Science and Engineering program.
1996-1998, Requirements Officer, Office of Chief of Naval Operations.  Responsible for a scientific research and development program to enhance the understanding of the fundamental physics issues affecting submarine detection.

1990-1992, Company Officer and Instructor, US Naval Academy.  In addition to supervision of over 120 midshipmen, taught both Calculus I and Calculus II.

1986-1987, Instructor, Nuclear Propulsion Training Unit, Idaho Falls, Idaho