Exploring recurrences in quasiperiodic systems

In this work, some new results to exploit the recurrence properties of quasiperiodic dynamical systems are presented by means of a two dimensional visualization technique, Recurrence Plots(RPs). Quasiperiodicity is the simplest form of dynamics exhibiting nontrivial recurrences, which are common in many nonlinear systems. The concept of recurrence was introduced to study the restricted three body problem and it is very useful for the characterization of nonlinear systems. I have analyzed in detail the recurrence patterns of systems with quasiperiodic dynamics both analytically and numerically. Based on a theoretical analysis, I have proposed a new procedure to distinguish quasiperiodic dynamics from chaos. This algorithm is particular useful in the analysis of short time series. Furthermore, this approach demonstrates to be efficient in recognizing regular and chaotic trajectories of dynamical systems with mixed phase space. Regarding the application to real situations, I have shown the capability and validity of this method by analyzing time series from fluid experiments.

Level thesis:degree_level

thesis.doctoral

Grantor dc:publisher

Universität Potsdam

Year

2007

Author dc:creator

• Zou, Yong

Contributors dc:contributor

• Kurths, Jürgen

• Wiederkehrverhalten
• quasiperiodisches dynamisches System
• Recurrence Plot
• recurrence
• quasiperiodic dynamical systems
• recurrence plots

Statement dc:rights

• Creative Commons - Namensnennung - Nicht-kommerziell - Weitergabe unter gleichen Bedingungen 3.0 Unported

Repository record source_url

https://publishup.uni-potsdam.de/frontdoor/index/index/docId/1519

OAI identifier oai:identifier

oai:kobv.de-opus4-uni-potsdam:1519