Testing the global flow reconstruction method on coupled chaotic oscillators

Details Testing the global flow reconstruction method on coupled chaotic oscillators Testing the global flow reconstruction method on coupled chaotic oscillators

Mar 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010jphcs.218a2029p&link_type=abstract

Journal of Physics: Conference Series, Volume 218, Issue 1, pp. 012029 (2010).

Physics

Scientific paper

Irregular behaviour of pulsating variable stars may occur due to low dimensional chaos. To determine the quantitative properties of the dynamics in such systems, we apply a suitable time series analysis, the global flow reconstruction method. The robustness of the reconstruction can be tested through the resultant quantities, like Lyapunov dimension and Fourier frequencies. The latter is specially important as it is directly derivable from the observed light curves. We have performed tests using coupled Rossler oscillators to investigate the possible connection between those quantities. In this paper we present our test results.

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