Time series analysis of turbulent and non-autonomous systems

Clemson, Philip and Stefanovska, Aneta (2012) Time series analysis of turbulent and non-autonomous systems. In: 8th International Summer School/Conference on Let's Face Chaos through Nonlinear Dynamics. AIP Conference Proceedings, 1468 . Anerican Institute of Physics, Melville, NY, pp. 69-81. ISBN 978-0-7354-1075-6

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Time series analysis is commonly applied to both chaotic and stochastic systems, which are collectively described as turbulence. However, explicitly time-dependent non-autonomous systems can also generate turbulent dynamics, which makes them useful for describing many physical phenomena. Nevertheless, many of the methods used to analyse turbulence are based around autonomous systems. In this paper, time series from the chaotic, stochastic and non-autonomous Duffing system are analysed using these methods to gauge their suitability to non-autonomous systems. It is found that time-dependent representations are vitally important in the study of this class of systems. Moreover, when time-dependence is neglected in the representation a completely deterministic non-autonomous system is often indistinguishable from a stochastic system.

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24 Apr 2013 09:24
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21 Nov 2022 15:13