| Paper: | SPTM-P11.1 | ||
| Session: | Nonlinear Systems and Signal Processing | ||
| Time: | Friday, May 19, 10:00 - 12:00 | ||
| Presentation: | Poster | ||
| Topic: | Signal Processing Theory and Methods: Nonlinear Systems and Signal Processing | ||
| Title: | Thresholding Distance Plots using True Recurrence Points | ||
| Authors: | Christer Ahlström, Peter Hult, Per Ask, Linköping University, Sweden | ||
| Abstract: | Recurrence plots (RP) visualize multi–dimensional state spaces and represent the recurrence of states of a system. Recurrence points can be divided into true recurrence points and false recurrence points (also called sojourn points). We introduce the true recurrence point recurrence plot, TRP, a variant of the traditional RP excluding the sojourn points. This is a cleaned up RP free from recurrence points originating from tangential motion, and hence a more robust representation of unstable periodic orbits. The method is demonstrated with three simple systems, a periodic sine wave, a quasi–periodic torus and the x–component of the chaotic Lorenz system. | ||
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