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Department of Mathematics
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Jack Heidel

Advised Master's Theses

2005
"Noise Reduction in Time Series Data from Dynamical Systems." Author: Richard Warr

2002
"Reduction of Boolean Networks to Scalar Form." Author: Christopher Farrow
Subsequent journal publications:
C. Farrow, J. Heidel, J. Maloney, J. Rogers, "Scalar Equations for Synchronous Boolean Networks with
Biological Applications"
IEEE Transactions on Neural Networks, 15, 348-354, (2004)
"Modeling Intracellular Signal Transduction Networks in the Absence of Quantitative Kinetic Parameters
Using Logical Connections." Author: Jim Rogers
Subsequent journal publications:
J. Heidel, J. Maloney, C. Farrow, J. Rogers, "Finding Cycles in Synchronous Boolean Networks with Applications to
Biochemical Systems"
International Journal of Bifurcations and Chaos, 13(3), 535-552, (2003)

1996
"Chaotic Behavior in Three Dimensional Quadratic Systems." Author: Zhang Fu
Subsequent journal publications:
Zhang Fu and Jack Heidel, "Non-Chaotic Behavior in Three Dimensional Quadratic Systems"
Nonlinearity 10, 1289-1303, (1997)
Zhang Fu and Jack Heidel, "Non-Chaotic Behavior in Three Dimensional Quadratic Systems II. The Conservative Case"
Nonlinearity 12, 617-633, (1999)
"Digital Terrain Data Compression Using Iterated Function Systems." Author: Phil Doerr