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| Title: | Detecting anomalous phase synchronization from time series |
| Authors: | Tokuda, Isao T.
Dana, Syamal Kumar
Kurths, Jurgen |
| Issue Date: | 2008-06-30 |
| Publisher: | American Institute of Physics |
| Magazine name: | Chaos |
| Volume: | 18 |
| Number: | 2 |
| Start page: | 023134-1 |
| End page: | 023134-10 |
| DOI: | 10.1063/1.2943308 |
| Abstract: | Modeling approaches are presented for detecting an anomalous route to phase synchronization from time series of two interacting nonlinear oscillators. The anomalous transition is characterized by an enlargement of the mean frequency difference between the oscillators with an initial increase in the coupling strength. Although such a structure is common in a large class of coupled nonisochronous oscillators, prediction of the anomalous transition is nontrivial for experimental systems, whose dynamical properties are unknown. Two approaches are examined; one is a phase equational modeling of coupled limit cycle oscillators and the other is a nonlinear predictive modeling of coupled chaotic oscillators. Application to prototypical models such as two interacting predator-prey systems in both limit cycle and chaotic regimes demonstrates the capability of detecting the anomalous structure from only a few sets of time series. Experimental data from two coupled Chua circuits shows its applicability to real experimental system. |
| Rights: | Copyright 2008 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Isao T. Tokuda, Syamal Kumar Dana, and Jurgen Kurths, Chaos, 18(2), 023134 (2008) and may be found at http://link.aip.org/link/?CHAOEH/18/023134/1 |
| URI: | https://hdl.handle.net/10119/8805 |
| Material Type: | publisher |
| Appears in Collections: | b10-1. 雑誌掲載論文 (Journal Articles)
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| B13128.pdf | | 213Kb | Adobe PDF | View/Open |
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