Bifurcation diagrams using webMathematica

Jiří Benedikt

Katedra matematiky
Západočeská univerzita v Plzni
Czech Republic

Abstract

We present a web-project based on webMathematica that allows any internet user to depict spectra and bifurcation diagrams of several predefined types of boundary value problems for ordinary differential equations. To compute the picture on the server, we use an algorithm presented in Wolfram Technology Conference 2006, which takes advantage of the fact that considered diagrams coincide with zero contours of certain functions of two variables.