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Timothy Sauer

Professor

Office: Exploratory Hall, Room 4209

Phone: (703) 993-1471

Fax: (703) 993-1491

E-mail: tsauer@gmu.edu

Personal Homepage:
math.gmu.edu/~tsauer

Education

  • Ph.D., 1982, University of California, Berkeley, Algebraic Geometry

  • B.S., 1977, Michigan State University, Mathematics

Research

  • Applied dynamical systems

  • Computational mathematics

Selected Publications

  • Four-dimensional ensemble Kalman filtering. Tellus A 56:273-277, 2004, with B. Hunt, E. Kalnay, E. Kostelich, E. Ott, D.J. Patil, I. Szunyogh, J. Yorke, A. Zimin

  • Reconstruction of shared nonlinear dynamics in a network. Physical Review Letters 93:198701-04, 2004.

  • Chaotic itinerancy based on attractors of one-dimensional maps. Chaos 13: 947-952, 2003.

  • Conceptual designing: Chaos-based approach. J. Intelligent and Fuzzy Systems 13:45-60, 2003, with T. Arciszewski, D. Schum

  • Shadowing breakdown and large errors in dynamical simulations of physical systems. Physical Review E 65:036220, 2002.

  • Early seizure detection. J. Clinical Neurophysiology 18:259-268, 2001, with K. Jerger T. Netoff, J. Francis, L. Pecora, S. Weinstein, S. Schiff

  • Dynamical data analysis at the turn of the century. In: Nonlinear Dynamics in the Life and Social Sciences, eds. W. Sulis, I. Trofimova, pp. 169-175. IOS Press, Amsterdam 2001.

Books

  • Coping with chaos: Analysis of chaotic data and the exploitation of chaotic systems. Wiley Interscience,

    New York, 418 pp., 1994, with E. Ott, J. Yorke

  • Chaos: An introduction to dynamical systems. Springer-Verlag, New York, 603 pp., 1996,

    with K. Alligood, J. Yorke

  • Numerical Methods. Addison-Wesley, Boston, 2005

Selected Presentations

  • Reconstruction of shared dynamics, AMAM Joint Conference of European Mathematical Society and Societe de Mathematiques Appliquees et Industrielles, Nice, France, February 2003

  • Attractor reconstruction and dynamics modeling, Keynote Lecture, Workshop on Fractals, Power Laws, and other Next Generation Data Mining Tools, ACM International Conference on Knowledge Discovery and Data Mining, Washington D.C., August 2003

  • Sensitivity of natural measure for chaotic attractors, Joint AMS-MAA-SIAM Mathematics Meetings, Phoenix, AZ, Jan. 2004

  • Four-dimensional Kalman filtering for assimilation of asynchronous observations, American Meteorological Society National Meeting, Seattle, WA, Jan. 2004

  • Reconstruction of networks from time series, Multivariate Time Series Workshop, Heidelberg, Germany, Feb. 2004

 

 

   
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