THE FOLLOWING SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS
OR IMPLIED WARRANTY. IN NO EVENT, THE AUTHORS BE LIABLE FOR ANY ERROR
IN THE SOFTWARE, ANY MISUSE OF IT OR ANY DAMAGE ARISING OUT OF ITS USE.
THE ENTIRE RISK OF USING THE SOFTWARE LIES WITH THE PARTY DOING SO. ANY
USE OF THE SOFTWARE CONSTITUTES ACCEPTANCE OF THE TERMS OF THE ABOVE
STATEMENT.
LEVEL: level curves of surfaces
by D. Breda, S. Maset and R. Vermiglio
LEVEL is a Matlab package for the
computation of level curves of surfaces. It is based on an adaptive
triangulation strategy and it is described in the paper publications [journal 10]. The package (together with manual and test files) is under revision for publication on Netlib.
TRACE-DDE: Tool for Robust Analysis and Characteristic Equations of Delay Differential Equations
by D. Breda, S. Maset and R. Vermiglio
TRACE-DDE is a Matlab GUI (Graphic User Interface) package for numerical stability analysis of linear autonomous systems of DDEs with several discrete and/or distributed delays. It allows for the numerical computation of the characteristic roots and then it performs a two-parameters robust stability analysis producing the so-called stability chart, i.e. the set of asymptotically stable/unstable regions in the parameters plane.
Users of TRACE-DDE are assumed to have a basic knowledge on DDEs and stability issues as well as to be familiar with the Matlab syntax for matrices. So far there is no manual available, but the GUI package alone should be sufficient to guide the user into its usage and understanding. All underlying numerical methods are fully described in the paper publications [journal 3, in books 2], where some test examples are included.
The current version represents the first attempt for a freely-available online code, it is a very experimental one and its main task is to get any sort of feedback and suggestions from the users as to help the authors in improving, developing and modifying the code as to meet the users' requirements. It is a typical research package which comes with no guarantee whatsoever.
The GUI structure of TRACE-DDE has been developed at Università di Udine by Daniele Sechi in his B.Sc. thesis "Sviluppo di interfaccia grafica per lo studio della stabilità di sistemi differenziali con ritardo" and it properly works on Mac OS X 10.3 (or superior) with Matlab 7R14. The package runs on Windows OS as well, but fonts and sizes cause problems which the authors are facing and wish to solve in future versions.
Download and getting started: download TRACE-DDE (<100Kb), unzip the package in your Matlab working directory, launch Matlab and execute traceDDE from the command window.