Curriculum Vitae
Joseph D. Skufca
Contact Information:
Joseph D. Skufca
Work Phone: 315-268-2399
Home Phone: 315-261-4160
email: mailto:jskufca@clarkson.edu
Affiliations:
(1) Professor, Mathematics Department, Clarkson University, Potsdam, NY.
(2) Affiliated Faculty, Institute for a Sustainable Environment (ISE), Clarkson University, Potsdam, NY.
(3) Faculty, Clarkson University Center for Rehabilitation Engineering Science and Techology (CREST), Potsdam, NY.
(4) Faculty, Clarkson University Institutes for a Sustainable Environment, Potsdam, NY.
(5) Society for Industrial and Applied Mathematicians (SIAM)
(6) SIAM Activity Group on Dynamical Systems
(7) Mathematical Association of America
(8) International Society for Posture and Gait Research
Education:
PhD in Applied Mathematics,
MS in Applied Mathematics,
BS in English,
Selected Work History:
2014-Pres, Professor, Mathematics Department, Clarkson University
[Additional positions: Faculty, Clarkson Center for Rehabilitation Engineering Science and Techology (2006-pres); Faculty, Clarkson Institutes for a Sustainable Environment (2009-pres)]
2010-2014, Associate Professor, Mathematics Department, Clarkson University
2005-2010, 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.
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, 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
Research Interests:
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. Current research has broadened to a number of interdisciplinary areas. Common threads that hold this work together include:
Publications:
Journals
and Peer Reviewed Publications
Huddy, S., and J. Skufca. "Amplitude death solutions for stabilization of dc microgrids with instantaneous constant-power loads," IEEE Transactions on Power Electronics, Vol 28:1, 247-253, (2013).
Jiongxuan Zheng, Joseph D. Skufca, Erik. M. Bollt, "The Bundle plot: Evolution of symbolic space under the system parameter changes, " International Journal of Bifurcation and Chaos, Vol23:8, (2013).
Zheng, Jiongxuan, Joseph D. Skufca, and Erik M. Bollt. "Comparing dynamical systems by a graph matching method." Physica D Nonlinear Phenomena 255 (2013): 12-21.
Jiongxuan Zheng, Joe Skufka, Erik Bollt, " Heart Rate Variability as Determinism with Jump Stochastic Parameters," Mathematical Biosciences and Engineering, 10:4 1259-1264 (2013).
Parshad, R. D., McGregor, S. J., Busa, M. A., Skufca, J., & Bollt, E. A statistical approach to the use of Control Entropy identifies differences in constraints of gait in highly trained versus untrained runners. Mathematical Biosciences and Engineering, Vol 9:1 (2012)
Parshad, R. D., Zheng, J., Bollt, E., & Skufca, J. D. Mostly Conjugacy of Stochastically Perturbed Dynamical Systems. Int. J. Contemp. Math. Sciences, 7(9), 395-412 (2012).
Joseph D. Skufca, Erik M. Bollt, Rakesh Pilkar, Charles J. Robinson, "Eigenposes: Using Principal Components to Describe Body Configuration for Analysis of Postural Control Dynamics.," Submitted to WCCI 2010 - IEEE World Congress on Compuational Intelligence Barcelona, Spain (2010).
Zheng, Jiongxuan, Joseph D. Skufca, and Erik M. Bollt. "Regularity of Commuter Functions for Homemorphic Defect Measure in Dynamical Systems Model Comparison," DCDIS-A, 18 363-382, (2011).
Skufca, J. D., Fowler, K. R., An Interdisciplinary Roller Coaster Design Project for Pre-Calculus, NYS Mathematics Teachers' Journal, 60(3), 2010.
Viprali Bhatkar, Joseph D. Skufca, et al., Categorizing and comparing psychophysical detection strategies based on biomechanical responses to short postural perturbations, BioMedical Engineering OnLine, Vol 9:58 (2010).
Erik M. Bollt, Joseph D. Skufca, "On comparing dynamical systems by defective conjugacy: A symbolic dynamics interpretation of commuter functions," Physica D , 239:10, 579-590 (2010).
Erik M. Bollt, Joseph D. Skufca, Stephen J McGregor, "Control Entropy: A Complexity Measure for Nonstationary Signals," Mathematical Biosciences and Engineering, 6 1 1-25 (2009).
Stephen J. McGregor, Michael A. Busa, Joseph Skufca, James A. Yaggie, Erik M. Bollt "Control Entropy identifies differential changes in complexity of walking and running gait patterns with increasing speed in highly trained runners," CHAOS 19, 026109 (2009).
Jie Sun, James P. Bagrow, Erik M. Bollt, and Joesph D. Skufca, "Dynamic Computation of Network Statistics via Updating Schema ," Phys. Rev. E 79, 036116 (2009).
Joseph D. Skufca, Erik M. Bollt, "A Concept of Homeomorphic Defect for Defining Mostly Conjugate Dynamical Systems," Chaos: An Interdisciplinary Journal of Nonlinear Science, 18 013118 (2008).
Joseph D. Skufca, Erik M Bollt, "Relaxing Conjugacy To Fit Modelling in Dynamical Systems," Virtual J. of Biological Physics, 14 5 (2007).
R. J. Schilling, E. M. Bollt, G. D. Fulk, J. D. Skufca, A. F. Al-Ajlouni, R. Robinson, and C. J. Robinson, "A Quiet Standing Index for Testing the Postural Sway of Healthy and Diabetic Adults Across a Range of Ages," to appear IEEE Trans. on BME.
Joseph D Skufca, Erik M Bollt, "Relaxing Conjugacy To Fit Modelling in Dynamical Systems," Physical Review E, 76 026220 (2007).
James P. Bagrow, Erik M. Bollt, Joseph D. Skufca, and Daniel ben-Avraham, "Portraits of Complex Networks," Euro Physics Letters, EPL 81 68004 (2007).
Maurizio M. Porfiri, Daniel J. Stilwell, Erik M. Bollt, Joseph D. Skufca, "Stochastic synchronization over a moving neighborhood network," Proceedings of the IEEE 2007 American Control Conference, July (2007).
Maurizio Porfiri, Dan Stilwell, Erik M. Bollt, Joseph D. Skufca, "Random Talk: Random Walk and Synchronizability in a Moving Neighborhood Network," Physica D: Nonlinear Phenomena, vol:224;1-2, p102-113 (2006).
J. D. Skufca, James A. Yorke, B. Eckhardt, "Edge of Chaos in a Parallel Shear Flow," Physical Review Letters, vol 96;17 (2006).
K. R.
Gue, R. M. Meller, J. D. Skufca, "The Effects of In-the-Aisle Congestion
on Picking Policies for an Order Fulfillment Center," IEE Transactions, vol 38; 10 (2006).
J. D. Skufca, "k-workers in a Circular Warehouse A random walk on a circle, without passing," SIAM Review, vol 47;2 (2005).
J. D. Skufca, "Analysis Still Matters: A Surprising Failure of Runge-Kutta-Felberg ODE Solvers," SIAM Review, vol 46; 4 (2004).
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).
J. D. Skufca, E. M. Bollt, "Feedback control with finite accuracy: more knowledge and better control for free," Physica D, vol 179, (2003).
Technical Reports and Conference Proceedings (Not Peer Reviewed)
J. Skufca, T. Deshane, P Wilbur, M Fowler, Mission Assurance through Defensive Characterization, Air Force Research Lab, (2012).
J. Skufca, Multiple logistic regression to define provider/subscriber relationships, draft technical report, Defense Intelligence Agency, (2008).
J. Skufca, Outline of Bulk Load Procedures, draft technical report, Defense Intelligence Agency, (2007).
J. Skufca, An application of weighted Voronoi diagrams, draft technical report, Defense Intelligence Agency, (2007).
J. Skufca, Data Fusion in a network context, draft technical report, Defense Intelligence Agency, (2007).
J. Skufca, Data Fusion in a network context, a Standard Operating Procedure (SOP), draft technical report, Defense Intelligence Agency, (2007).
V. Bhatkar, R. Pilkar, J.D. Skufca, C. Storey , C. Robinson, Time-Series-Bitmap Based Approach to Analyze Human Postural Control and Movement Detection Strategies during Small Anterior Perturbations, ASEE St. Lawrence Section conference, USA, (2006).
J. Skufca, Explaining the need for research in geospatial data mining, draft technical report, Defense Intelligence Agency, (2006).
J. Skufca, Close only counts in horseshoes, hand grenades, and dimention less than fifty, draft technical report, Defense Intelligence Agency, (2007).
"Markov Partitions" (coauthored with E. M. Bollt) in Encyclopedia of Nonlinear Science (in press), Paul Sutcliffe, Routledge, 2004.
Other Contributed Scholarly Work
Joseph D. Skufca, Why Do Math Cochlear Implants, on SIAM educational website.
In Review
Erik M. Bollt, Joseph D. Skufca, "A Low-Dimensipnal Principal Manifold as the attractor backbone of a Chaotic Beam System, " submitted to SIAM Journal of Dynamical Systems (SIADS), 2013.
Erik M. Bollt, and Joseph D. Skufca, "An Attractor Partition Described as Joined Manifolds for a Chaotic Beam System, " submitted to Physica D,( 2013).
Amanda Sherman, Tom Langen, Joseph Skufca, Andreas Wilke, The influence of past and present living environments: Are current risk assessments shaped by the dangers of our childhood environment? submitted to Evolutionary Psychology (2013).
Talks:
Optimal Sampling with Costs, presented to SUNY Potsdam and Clarkson REU, July 2013.
Play with your Food and Learn, presented to SOAR, Potsdam, NY, April, 2013.
Visualizing Close in high-dimensional datasets: MDS and the Bi-fold algorithm, Clarkson Math Colloquium, April, 2013.
Play with your Food and Learn, presented to Science Cafι, Potsdam, NY and Canton NY, November, 2012.
Reduced order modeling of beam dynamics, presented at MIT, Oct 2012.
A Vertically Integrated Model for a Mathematics Capstone, Boston Mass, Joint Math Meeting, Jan 2012
Datamining the St. Lawrence River, presented at BioMath Seminar, Potsdam NY, Nov 2011.
Effect of Human Motion on Dynamic Contact Networks, Snowbird, Utah, SIAM Conference on Dynamical Systems, May 2011
Mission Assurance through Integrated Modeling, presented Rome NY, Principle Investigators conference, AFRL, April 2011
ITiMBReaC: Interdisciplinary Training in Mathematical and Biological Research at Clarkson, presented at St. Lawrence Section of American Society for Engineering Education Conference, March 2011.
Defensive Posture
Characterization, to Cybersecurity Symposium, Dartmouth, Spring 2010.
There and Back Again:
The effect of travel networks on disease dynamics, to SIAM Internation Conference on Life
Scienes, Pittsburgh, July 2010.
Deterministic Nonperiodic Flow, at Science Cafι, November 2009.
Principal Component Analysis of Body Configuration for Postural Control Modeling, Presented At University of Torino, Torino, Italy, June 2009.
Eigenposes: Using
Principal Components To Describe Body Configuration For Postural
Control Analysis, Presented at International Society for Posture and Gait Research 19th International Conference (ISPGR 2009), Pavia, Italy, June 2009 (poster).
Eigenfeet And Archetypes - Principal Analysis And Partitions Of Foot Pressure Data, Presented at International Society for Posture and Gait Research 19th International Conference (ISPGR 2009), Pavia, Italy, June 2009 (poster).
Adaptive Response to the Spread of Epidemics Using Dynamic Social Networks, Presented at SIAM International Conference on Dynamical Systems, Snowbird, Utah, May 2009.
Application of Evidence Theory to Network Fusion, to Clarkson Math Colloquium, Apr 2009.
Writing Grant Proposals, to Student Applied Math Seminar, Spring 2009.
Available behaviors for synchronized systems with communication delay, Presented at Clarkson University, Sep 2008.
What Can You Chant at Lane Stadium - Synchronization on Networks with Delay, Presented at International Conference on Mathematical Theory of Networks and Systems (MTNS08), Blacksburg, Va, July 2008. (Awarded prize for best title in session.)
Epidemics on adaptive networks, presented by Andrew Davis at Undergraduate Biomathematics Day, National Conference, Apr 2008.
Integrated Calculus and Physics Projects Based on Roller Coaster Design, presented by Katie Fowler, Joint Mathematics Meetings, San Diego, California, January 2008.
Tony Soprano and Singular Functions, Presented to Clarkson SIAM student chapter, Dec 2007.
Applications of Lebesgue Singular Functions to Dynamical Systems, Presented to SUNY Potsdam/Clarkson REU, July 2007.
Symbol Dynamics of close dynamical systems, Presented at SIAM DS07, International Conference on Dynamical Systems, May 2007.
Tutorial Using MAPLE to study ODEs in the classroom setting, presented to Clarkson University Chapter of Association for Women in Mathematics (AWM), Jan 2007.
The Edge of Chaos in a parallel shear flow, Presented at University of Missouri, Fall 2006.
Mostly Conjugate, Presented at University of Missouri, Fall 2006.
Boundary to Transient
Turbulence in Plane Couette Flow Presented at Math Department seminar and
Mechanical Engineering Seminar (
The Edge of Chaos Presented at
The Edge of Chaos Presented at
Analysis of the chaotic saddle in a 9-dimensional model
of plane Couette flow Presented at The United States Naval Academy,
January 2005, and
Chaos in Two Fluids, (joint talk with Dr. J. Yorke
and John Harlin). Presented at the
Inaugural Burgers Symposium,
Random Walk on a
Circle Without Passing and Application to Order Fulfillment Centers. Presented at
A Review of the 1965
Lorenz paper on the 28-variable Model of the Atmosphere Presented at
Feedback Control with
Finite Accuracy Measurements Better control and Greater Knowledge, for free. Presented at
Applicability of Undergraduate Mathematics within the Navy Nuclear Propulsion Program. Presented at USNA Mathematics Colloqium, Spring 2001.
Grants and Funding:
Postdoctoral Researcher
Rana Parshad, Mostly
Conjugacy, and Modeling, (2009-2010 ).
Eric McGregor,
Thoracic Biometrics, (2011-2013).
Graduate Students
Ryan Huddy (MS
2008, PhD 2013) Synchronization of
systems of chaotic oscillators, with delay.
Scott Lalonde (MS
2009) A Computational Approach to
Measuring Homeomorphic Defect.
Kevin Matthews, Dynamic behavior in smart-grid market system
Jiongxuan Zheng (PhD
-2013)
Mike Fowler (PhD
in Progress) Uncertainty Quantification
in Radiography
Yazhen Jiang (PhD
in progress) Data visualization and
embeddings.
Ye Li (PhD In
Progress) Disease transmission on time
varying patch networks.
Andrew Davis (MIT)
Mentorship of Undergraduate Student Research Projects:
Teaching Experience:
Development of New Courses:
Curriculum Development
Courses Taught
Year (sem) |
Course |
No. |
Course Title |
91-92 (F) |
SM121 |
1 |
Calculus I Differential Calculus |
91-92 (S) |
SM122 |
1 |
Calculus II Integral Calculus |
98-99 (F) |
SM121A |
2 |
Calculus I Differential Calculus |
98-99 (S) |
SM122 |
3 |
Calculus II Integral Calculus |
99-00 (sum) |
SM122R |
1 |
Calculus II Integral Calculus |
99-00 (F) |
SM223 |
2 |
Calculus III Multivariable Calculus with Optimization |
99-00 (F) |
SM122S |
1 |
Calculus II Integral Calculus (Honors) |
99-00 (S) |
SM221S |
1 |
Calculus III Multivariable Calculus with Vector Fields(Honors) |
99-00 (S) |
SM212 |
1 |
Differential Equations |
00-01 (sum) |
SM212 |
1 |
Differential Equations |
00-01 (F) |
SM121 |
1 |
Calculus I Differential Calculus |
00-01 (F) |
SM121N |
1 |
Calculus I Differential Calculus (w/ notebook PC) |
00-01 (S) |
SM122 |
1 |
Calculus II Integral Calculus |
00-01 (S) |
SM122N |
1 |
Calculus II Integral Calculus (w/ notebook PC) |
00-01 (S) |
PNPS |
1 |
Nuclear |
00-01 (S) |
SM486B |
1 |
Introduction to Computational Science and Engineering |
01-02 (F) |
SM121 |
3 |
Calculus I Differential Calculus |
01-02 (F) |
SM486E |
1 |
Introduction to Computational Science and Engineering |
01-02 (S) |
SM230 |
3 |
Introduction to Probability and Statistics |
01-02 (S) |
SM486E |
1 |
Introduction to Computational Science and Engineering |
02-03 (sum) |
SM212 |
1 |
Differential Equations |
02-03 (F) |
SM161 |
2 |
Calculus I with Computer Programming |
02-03 (F) |
SM486E |
1 |
Introduction to Computational Science and Engineering |
02-03 (S) |
SM162 |
1 |
Calculus II with Computer Programming |
02-03 (S) |
SM230 |
2 |
Introduction to Probability and Statistics |
02-03 (S) |
SM486E |
1 |
Introduction to Computational Science and Engineering |
05-06 (F) |
MA330 |
1 |
Engineering Mathematics |
05-06 (F) |
MA377 |
1 |
Numerical Methods |
05-06 (S) |
MA363 |
1 |
Mathematical Modeling |
05-06 (S) |
MA406/706 |
1 |
Directed Study Datamining and Time Series Analysis |
06-07 (F) |
MA131 |
1 |
Calculus I |
06-07 (F) |
MA330 |
1 |
Advanced Engineering Mathematics |
06-07 (F/S) |
MA406/706 |
1 |
Directed Study Datamining postural control data |
06-07(S) |
MA132 |
2 |
Calculus II |
07-08 (F) |
MA131 |
2 |
Calculus I |
07-08 (F/S) |
MA406 |
1 |
Directed Study Disease Dynamics, Modeling rocking block dynamics |
07-08(F/S) |
MA619 |
1 |
Dynamical Systems Seminar |
07-08(F) |
MA725 |
1 |
Applied Mathematics Student Seminar |
07-08 (S) |
MA363 |
1 |
Mathematical Modeling |
08-09 (F) |
MA131 |
1 |
Calculus I |
08-09 (F) |
MA330 |
1 |
Advanced Engineering Mathematics |
08-09 (F/S) |
MA406 |
1 |
Directed Study Statistical Physics of Epidemiology |
08-09 (F/S) |
MA406 |
1 |
Directed Study Disease Dynamics |
08-09(F/S) |
MA619 |
1 |
Dynamical Systems Seminar |
08-09(F) |
MA725 |
1 |
Applied Mathematics Student Seminar Studies in Principle Component Analysis |
|
|
|
|
08-09 (S) |
MA200 |
1 |
Math Modeling and Software |
08-09 (S) |
MA377 |
1 |
Numerical Methods |
08-09 (S) |
MA402 |
1 |
Directed Study Preparation for COMAP |
08-09 (F) |
MA405 |
1 |
Directed Study Disease Dynamics |
09-10 (F) |
MA330 |
1 |
Advanced Engineering Mathematics |
09-10 (F) |
MA400 |
1 |
Undergraduate Seminar |
09-10 (S) |
MA200 |
1 |
Math Modeling and Software |
09-10 (S) |
MA405 |
1 |
Directed Study Disease Dynamics |
09-10 (S) |
MA401 |
1 |
Directed Study COMAP |
09-10 (S) |
MA431 |
1 |
Undergraduate Biomath Seminar |
10-11 (F) |
MA330 |
1 |
Advanced Engineering Mathematics |
10-11 (F) |
MA405 |
1 |
Directed Study Decision-making under uncertainty |
10-11 (S) |
MA200 |
1 |
Math Modeling and Software |
10-11 (S) |
MA330 |
1 |
Advanced Engineering Mathematics |
10-11 (S) |
MA401 |
1 |
Directed Study COMAP |
10-11 (S) |
MA431 |
1 |
Undergraduate Biomath Seminar |
11-12(F) |
MA132 |
2 |
Calculus II |
11-12 (F) |
MA400 |
1 |
Undergraduate Biomath Seminar |
11-12 (F) |
MA405 |
1 |
Directed Study Datamining on Biology Problems |
11-12 (F) |
MA526 |
1 |
Convex Optimization |
11-12 (S) |
MA200 |
1 |
Math Modeling and Software |
11-12 (S) |
MA330 |
1 |
Advanced Engineering Mathematics |
11-12 (S) |
MA401 |
1 |
Directed Study COMAP |
11-12 (S) |
MA405 |
1 |
Directed Study Decision-making under uncertainty |
11-12 (S) |
MA431 |
1 |
Undergraduate Biomath Seminar |
12-13(F) |
MA132 |
1 |
Calculus II |
12-13(F) |
MA131 |
1 |
Calculus I |
12-13(F) |
MA330 |
1 |
Advanced Engineering Mathematics |
12-13(F) |
MA405 |
1 |
Directed Study Dynamical Systems |
12-13 (S) |
MA200 |
1 |
Math Modeling and Software |
12-13 (S) |
MA330 |
1 |
Advanced Engineering Mathematics |
12-13 (S) |
MA363 |
1 |
Mathematical Modeling |
12-13 (S) |
MA401 |
1 |
Directed Study COMAP |
13-14 (F) |
MA330 |
1 |
Advanced Engineering Mathematics |
13-14 (F) |
MA405 |
1 |
Directed Study Nonlinear Dynamics |
13-14 (F) |
MA601 |
1 |
Topics Stochastic Processes |
|
|
|
|
Prizes and Awards:
Academic
William
P. Clements Award For Excellence in Education - 2001 (Awarded to the most
outstanding military instructor at the
Outstanding New Teacher Award - 2007. Selected among all junior faculty members as the most outstanding teacher at Clarkson University.
John W. Graham Junior Faculty Research Award 2010. Clarkson University award presented annually to a faculty member showing promise in engineering, business, liberal arts, or scientific research.
Phi Kappa Phi, (member since 1984).
Military
Defense Meritorious Service Medal
Meritorious Service Medal
Navy Commendation Medal (3)
Navy Achievement Medal
Navy Unit Citation
Navy E Ribbon
Navy Expeditionary Medal
National Defense Service Medal
Global War on Terrorism Service Medal
Sea Service Deployment Ribbon (2)
Navy Pistol Expert
Service and Committee
Work (Clarkson University)
Service and Committee Work while an Instructor (1998-2003):
SIAM Service