Zvi Artstein
The Hettie H. Heineman Professor of Mathematics
My research is in the areas of dynamical systems and control. I deal with mathematical problems which arise when a natural or a man-made phenomenon is not autonomous and may be subject to manipulation. One aim then is to find the appropriate action necessary to achieve a desired goal. In recent studies I investigated the phenomena which are induced by a slow movement interacting with a fast dynamics. The controls which I develop allow abrupt changes and nonstationary limits of the fast dynamics. I am also interested in the theory of decisions under uncertainty and in science education.
Recent Publications
- A Young measures aproach to averaging. In: Differential Equations, Chaos and Variational Problems, V. Staicu, Ed., Progress in Nonlinear Differential Equations and Their Applications, Vol. 75, 15-28, Birkhauser Verlag, Basel, 2007.
- Averaging of time-varying differential equations revisited. J. Differential Equations 243 (2007) 146-167.
- [with Ioannis G. Kevrekidis, Marshall Slemrod and Edriss S. Titi] Slow observables of singularly perturbed differential equations. Nonlinearity 20 (2007) 2463-2481.