Strain-gradient viscoplasticity in one-dimensional structural dynamics

One-dimensional measles dynamics

The SEIR model for the transmission dynamics of measles is extended by the addition of second-order space derivatives to enable the geographic spread of the disease in a population which has not been vaccinated against it. The resulting system of three reaction-diffusion equations is solved by a convergent finite-difference technique which is second-order accurate in space and time. A parallel ...

One{dimensional Topological Dynamics

One - dimensional versus two - dimensional dynamics Sebastian

Tailoring exciton dynamics by elastic strain-gradient in semiconductors.

In purely bent ZnO microwires, the excitons can be effectively driven and concentrated by the elastic strain-gradient towards the tensile outer side of the purely bent wire. Experimental and theoretical approaches are combined to investigate the dynamics of excitons in an inhomogeneous strain field with a uniform elastic strain-gradient. Cathodoluminescence spectroscopy analysis on purely bent ...

Periodicity versus Chaos in One-Dimensional Dynamics

We survey recent results in one-dimensional dynamics, and as an application, we derive rigorous basic dynamical facts for two standard models in population dynamics, the Ricker and the Hassell families. We also informally discuss the concept of chaos in the context of one-dimensional discrete time models. First we use the model case of the quadratic family for an informal exposition and then we...