Prof.dr. S.M. Verduyn Lunel (Sjoerd) Faculty    Mathematics & Natural Sciences E-mail    verduyn@math.leidenuniv.nl Phone    071 527 7123     Date of birth March 20, 1960 Place of birth Velsen Study Mathematics Ph.D. October 6, 1988 Dissertation Exponential type calculus for linear delay equations Date of accession September 1, 1997 Inaugural lecture October 30, 1998 'Moving' Subject Analysis

Keywords

Feedback, time delay, dynamic system, differential equation, operator theory

My inspiration

My research is at the interface between functional analysis, dynamic systems and applications to life sciences. The advanced methods to control and to monitor individual biological processes and molecules, by refined genetic modification and biological markers, ask for the development of state-of-the-art mathematical methods. For example, when modelling the function of a cell, it does not suffice to study the physical processes that control the behaviour of a cell. In fact, the physical processes themselves influence the way in which the information coded in the genes is used. This leads to very complicated dynamic systems with feedback loops based on cellular automata, coupled map lattices and lattice differential equations. I am fascinated by the study of the qualitative behaviour of such systems.

Titles of major publications

• (2004) T.L. van Noorden and S.M. Verduyn Lunel, "A Broyden rank p+1 update continuation method with subspace iteration", SIAM J. Sci. Comput. 25: 1921-1940.
• (2004) O.W. van Gaans and S.M. Verduyn Lunel, "Long term behavior of dichotomous stochastic differential equations in Hilbert spaces", Commun. Contemp. Math. 25: 349-376.
• (2003) R.D. Nussbaum and S.M. Verduyn Lunel, "Asymptotic estimates for the periods of periodic points of nonexpansive maps", Ergodic Theory Dynam. Systems 23: 1199-1226.
• (2001) D. Estep, S.M. Verduyn Lunel and R. Williams, "Analysis of shear layers in a fluid with temperature-dependent viscosity", Journal of Computational Physics 173: 17-60.
• (1993) J.K. Hale and S.M. Verduyn Lunel, Introduction to Functional Differential Equations, Applied Mathematical Sciences Vol. 99, Springer-Verlag, New York.

Links

http://www.math.leidenuniv.nl/~verduyn