Selected Publications

January 2007

Jack Heidel

16. Heidel, J. and Zhang, Fu, Nonchaotic and chaotic behavior in three dimensional quadratic systems: five-one conservative cases, Int. J. Bifur, Chaos,to appear. PDF

15. Konvalina, J., Konfisakhar, I., Heidel, J. and Rogers, J., Combinatorial Fractal Geometry with a biological application, Fractals, 14 (2006), 133-142. PDF

14. Konvalina, J., Heidel, J. and Rogers, J., A Mean Paradox, Amer. Math Monthly, 113 (2005), 166-169. PDF

13. Dora Matache, Jack Heidel, Asynchronous random Boolean network model based on elementary cellular automata, rule126, Physical Review E, 71, 026232 (2005). PDF

12. Max Kurz, Nicholas Stergiou, Jack Heidel, Terry Foster, A template for the exploration of chaotic locomotive patterns, Chaos, Solitons and Fractals 23, 485-493, 2005.

11. Dora Matache, Jack Heidel, A Random Boolean Network Model and Deterministic Chaos, Physical Review E, 69, 056214, 2004. PDF

10. Christopher Farrow, Jack Heidel, John Maloney, and Jim Rogers, Scalar equations for synchronous Boolean networks with biological applications, IEEE Transactions on Neural Networks, 15, 348-354, 2004. PDF

9. Jack Heidel, John Maloney, Christopher Farrow and Jim Rogers, Finding cycles in synchronous Boolean networks with applications to biochemical systems, Int. J. Bifur. Chaos 13(3): 535-552, 2003. PDF

8. Ugo Buzzi, Nicholas Stergiou, Patricia Hageman, Max Kurz and Jack Heidel, Nonlinear dynamics indicates aging affects variability during gait, Clinical Biomechanics 18: 435-443, 2003.

7. John Maloney and Jack Heidel, An analysis of a fractal kinetics curve of Savageau, J. Austral. Math. Soc. Ser. B, 45, 261-269, 2003. PDF

6. Jack Heidel and John Maloney, An analysis of a fractal Michaelis-Menten Curve, J Austral. Math. Soc. Ser. B 41:410-422, 2000. Zipped PostScript, PDF

5. John Maloney, Jack Heidel and Josip Pecaric, A reverse Holder-type inequality for the logarithmic mean and generalizations, J. Austral. Math Soc. Ser B 41:401-409, 2000. Zipped PostScript , PDF

4. Jack Heidel and Zhang Fu, Non-chaotic behavior in three-dimensional quadratic systems II. The conservative case, Nonlinearity 12:617-633, 1999. PDF

3. Jack Heidel and John Maloney, When can sigmoidal data be fit to a Hill curve?, J. Austral. Math Soc. Ser B, 40:1-10, 1998. Zipped PostScript, PDF

2. Zhang Fu and Jack Heidel, Nonchaotic behavior in three-dimensional quadratic systems, Nonlinearity 10:1289-1303, 1997. PDF

1. Jack Heidel, The existence of periodic orbit of the tent map, Phys. Lett A 143:195-201, 1990.