Bo Söderberg, Lund University

19 May, 13:00-13:50, MH:C

Quasiperiodicity 1-D discrete patterns from iterated maps related to discrete reaction-diffusion.

The dynamics of certain cellular substances yield static patterns in the their concentrations. These are also the static solutions of a reaction-diffusion equation (RDE), and as such obey an iterative equation in space. In 1 dim these patterns display an unexpected spacial quasiperiodicity. I show how this is the result of a related area-preserving map being conservative, and identify a related class of RDE:s that yield conservative maps.