Time series investigations on an experimental system driven by phase transitions

M. Frank and M. Schmidt
Phys. Rev. E 56, 2423 – Published 1 September 1997
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Abstract

In the present paper the analysis of an intermittent time series obtained from a nonlinear system is presented. The setup is driven by phase transitions and has no external periodic driving. The observed states range from stable ones over periodicity and intermittence to chaotic behavior. The data in the intermittent regime are analyzed with respect to the optical shape, the frequency distribution of the laminar lengths, and the γ parameter. The results of these analyses are compatible with the interpretation of the presence of intermittence type II in the system under investigation. Additionaly the reconstruction of the radius dynamics of the experimental data is attempted. The corresponding results also indicate type II intermittence. Some weight is put on figuring out the principal problems, arising in the reconstruction of the Neı̆mark-Sacker dynamics from a scalar time series.

  • Received 6 February 1997

DOI:https://doi.org/10.1103/PhysRevE.56.2423

©1997 American Physical Society

Authors & Affiliations

M. Frank and M. Schmidt

  • Physikalisches Institut der Universität Erlangen-Nürnberg, Erwin-Rommel-Strasse 1a, 91058 Erlangen, Germany

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Vol. 56, Iss. 3 — September 1997

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