Main - UPO Search

UPOExplorer

Here we present three examples of different uses of UPOExplorer.

The first one is the analysis of a Dynamical System (Lorenz System), the second one is the analysis of a discrete data set, and the third one is the use of the Recurrence Plots Viewer to extract and visualize data from a given data set.

1. Lorenz System Analysis.

To analyze this we will use the PointsFromFunction routine. In this program the user can specify the time step to use in the Runge-Kutta algorithm, the Dynamicl System, the Poincare Section plane's equation, and several parameters like the number of initial conditions and the number of steps per initial conditions...

The following is a step by step to analyze Lorenz System:

a. Open IDL

b. Go to File -> Open Project and choose the UPOExplorer project. You can also find the UPOExplorer project under File -> Recent Projects if you have used the program before.

c. Compile the project

d. From the project tree select PointsFromFunction and double-click on it.

e. Set some parameters to create you analysis data set. e.g. Time step, number of initial conditions, number of iterations per initial condition, etc.

f. Run the program using the "run button in the tools-bar". The program will prompt you for a file in which it will write your results. Pick a proper name ending with .txt extension and let the program run.

g. The program will automatically run the UPOExplorer when is done so you can start you analysis. If you want to analize this data set again you don't have to run all the steps again... just run the UPOExplorer and select the file you just create.

h. Proceed wit your UPO analisis.... Pick a period, pick a threshold and a number of groups. Then click on Auto-Cluster and let the program to find the UPOs. Once they are defined by the program you can use the "show me that" button or the Recurrence plot button.

2. Discrete Data analysis.

This exercise is different form the first one in that the program assumes the given system is discrete so it won't try ...

2.1 Transform Data from an ASCII file.

2.2 Time series Generation.

The first thing we are going to do is to create a false time serie using the program generaSerieDiscreta.pro.

3. Recurrence Plot from data in an ASCII file.