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ANALYTICAL DESCRIPTION OF RECURRENCE PLOTS OF DYNAMICAL SYSTEMS WITH NONTRIVIAL RECURRENCES.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . Dec2007, Vol. 17 Issue 12, p4273-4283. 11p. 3 Diagrams, 5 Graphs. - Publication Year :
- 2007
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 17
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 32020422
- Full Text :
- https://doi.org/10.1142/S0218127407019949