Tom Brown's blog

Evolution Equations

page 1 The idea of a semi-group appeals strongly to the everyday experience of time. Page 2 A restriction, a kind of “reversibility property” may be assumed, that is the existence of inverses. This leads to the concept of a dynamical system which is very popular in Poland. Page 3 Examples of semigoups in one-dimensional phase space as well as two examples of trajectories through 2D. They are all based on properties of the exponential function,...

Time Travel

The scans illustrate typical behaviour of graphs, the equations in themselves are not important just the shapes. The sketches are not accurate one needs only to understand the characteristic properties. With this blog I am trying to explain some concepts to a layman. page 1 These two sketches illustrate some types of long term behavior of curves such as bounded or unbounded graphs, singularity, limits and asymptotes. page 2 A sequence of...