Ph.D. University of Chicago, 1962. Alfred P. Sloan Fellow 1965-67; European Molecular Biology Organization Research Fellow 1972-74; Visiting Professor, University of Vienna; Visiting Research Professor, Austrian Academy of Sciences.
Professor Phillipson is interested in theoretical studies in nonlinear dynamics and biophysics. Many nonlinear processes are encapsulated by differential equations and by mappings. Research is directed toward development of computational algorithms and analytic techniques designed to facilitate understanding of solutions to these mathematical structures, and identifying the solutions with dynamical processes found in macromolecular and physical systems.
Recent activities include:
- Application of map dynamics to chemical and physical processes
- Dynamics of autocatalytic reaction networks
- Mechanisms for bistability in biochemical systems.
- Neuron Dynamics
- "Map Dynamics Study of the Lorenz Equations," with O. Michielin, Int. J. Bifurcation and Chaos 7, 373-382 (1997).
- "Bifurcation Dynamics of Three Dimensional System," with P. Schuster, Int. J. Bifurcation and Chaos 10, 1787-1804 (2000).
- "A Comparative Study of the Hodgkin-Huxley and FitzHugh-Nagumo Models of Neuron Pulse Propagation," with P. Schuster, Int. J. Bifurcation and Chaos 15, 3851-3866 (2005).
- "Analytical Dynamics of Neuron Pulse Propagation," with P. Schuster, Int. J. Bifurcation and Chaos 16, 3605-3616 (2006).
- "Modeling by Nonlinear Differential Equations: Dissipative and Conservative Process," with P. Schuster, World Scientific Series on Nonlinear Science Series A, Vol. 69, World Scientific, Singapore (2009).