Current Research

Main Topic:

• Resonance of nonlinear/chaotic map dynamics

Other interests:

• econophysics and statistical arbitrage
• network evolution and pattern formation
• composite fracture
• applications of graph theory and nonlinear dynamics to systems biology
• interesting scents

Education/Experience

Glenn received a bachelor's degree in Physics and Mathematics from the University of Wisconsin at River Falls before spending a year as a student researcher at Argonne National Lab. He later received masters degrees from Virginia Tech in both Mathematics and Engineering Mechanics and was an Instructor in VT's Physics department.

He worked in the steel industry for Siemens Energy and Automation as a commisioning engineer and as a process control engineer before coming to Illinois in the Fall of 2000. Glenn is currently a PhD candidate in Physics (passed qualifying and preliminary exams) under the direction of Alfred Hübler.

Activities

Glenn organized the 2003-2005 Nonlinear Dynamics and Complex Systems Seminar series.

Articles in Preparation

Glenn Foster et. al. "Septic Shock, Hypergraphs, and Blood Filtration"

Vadas Gintautas, Glenn Foster, and Alfred W. Hübler, "Resonant forcing of select degrees of freedom of multidimensional chaotic map dynamics", submitted to Journal of Statistical Physics

Glenn Foster, Alfred W. Hübler, and Karin Dahmen, "Resonance spectroscopy with chaotic forcing functions"

Journal Publications

Glenn Foster, Alfred W. Hübler, and Karin Dahmen, "Resonant forcing of multidimensional chaotic map dynamics", Physical Review E, 75, 036212 (2007)

A. Hübler, G. Foster and K. C. Phelps, "Managing chaos: Thinking out of the box", Complexity 12(3), 10-13 (2007)

G.C. Foster and A.W. Hübler, "Robust and Efficient Interaction with Complex Systems", Proceedings of 2003 IEEE International Conference on Systems, Man & Cybernetics, 2029-2034 (2003)

G.C. Foster, M. Ibnabdeljalil, and W.A. Curtin "Tensile Strength of Titanium Matrix Composites: Direct Numerical Simulations and Analytic Models." International Journal of Solids and Structures 35, 2523-2536 (1998).

G.C. Foster (1998) Tensile and Flexure Strength of Unidirectional Fiber-Reinforced Composites: Direct Numerical Simulations and Analytic Models. (Virginia Tech Masters Thesis, Engineering Mechanics) (pdf, 1.4 Mb)

Conference Proceedings

G. Foster, A. Hübler, "Robust and Efficient Interaction with Complex Systems", Proceedings of 2003 IEEE International Conference on Systems, Man & Cybernetics, 2029-2034 (2003)

F. McBagonluri, G. Foster, S. W. Case, J. J. Lesko, and W. Curtin, "Micromechanics Based Life Prediction of Glass-Reinforced Composites", Proceedings of the SEM Spring Conference on Experimental and Applied Mechanics and Experimental/Numerical Mechanics in Electronic Packaging III, 479-480, June, 1998

F. McBagonluri, G. Foster, S. W. Case, W. Curtin, and J. J. Lesko, "Simulation of Fatigue Performance of Polymeric Composites for Infrastructure Applications", Recent Advances in Mechanics of Aerospace Structures and Materials, ASME IMECE, 56, 91-96, November, 1998

Conference Presentations

"Modeling Blood Filtration in the Treatment of Septic Shock", 2007 American Physical Society March Meeting, Denver, CO

"Optimal Resonance Forcing of Nonlinear Systems", 2006 APS March Meeting, Baltimore, MD

"Nonlinear Resonant Forcing of Dynamical Systems", Understanding Complex Systems 2004, UIUC

"Nonlinear Resonant Forcing of Dynamical Systems", 2004 APS March Meeting, Montreal, Quebec

"Resonances of Dynamical Systems", Understanding Complex Systems 2003, UIUC (poster)

"Resonant Forcing of Chaotic Map Dynamics", 2003 APS March Meeting, Austin, TX (2003)