Abstract
In this paper we study recurrence plots (RPs) for the simplest example of nontrivial recurrences, namely in the case of a quasiperiodic motion. This case can be still studied analytically and constitutes a link between simple periodic and more complicated chaotic dynamics. Since we deal with nontrivial recurrences, the size of the neighborhood ¿ to which the trajectory must recur, is larger than zero. This leads to a nonzero width of the lines, which we determine analytically for both periodic and quasiperiodic motion. The understanding of such microscopic structures is important for choosing an appropriate threshold ¿ to analyze experimental data by means of RPs.
Original language | English |
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Pages (from-to) | 4273-4283 |
Number of pages | 11 |
Journal | International Journal of Bifurcation and Chaos |
Volume | 17 |
Issue number | 12 |
DOIs | |
Publication status | Published - Dec 2007 |
Keywords
- recurrence plot
- analytic description
- quasiperiodic motion
- nontrivial recurrence