The main goal of this project is to find Unstable Periodic Orbits "living" on strange attractors, characterize their importance as building blocks and to explore the technique of Recurrence Plots to help identify UPOs on data sets.
A paper on the results has been submited to "CHAOS" and some figures and comments about it can be found here.
You can download the software we developed to detect and analyze UPO's from Three-Dimensional Dynamical Systems here. There is also a tutorial to use the software and some technical details about the source code, which is available.
The figures show UPOs of period 1, 2 and 3.
