Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:B2L-C

Session:

Number:377

Analysis of Intermittent Time Series: How to Discriminate the Different States of an Interior Crisis

Thomas Stemler,  Thomas Jüngling,  

pp.377-380

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.377

PDF download (1.4MB)

Summary:
Intermittency is the textbook example of a dynamics having different time scales: A fast dynamics in the state and a slow jumping dynamics between them. Sometimes it is quite easy to distinguish the different kind of dynamics, since the states are well separated. An example of this kind of dynamics is the intermittent dynamics generated by a merging crisis: the states and sub-attractors are mirror images of each other and therefore can be distinguished without effort. Here we report on a different kind of crisis-induced intermittency, resulting from an interior crisis. Especially if only one state variable of the system can be observed, it is difficult to determine the state in which the system currently is. We show that our method is able to identify the states accurate using numerical data from the logistic map and measurements from a diode oscillator.

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