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Time series analysis of turbulent and non-autonomous systems

Research output: Contribution in Book/Report/ProceedingsChapter

Published

Publication date2012
Host publication8th International Summer School/Conference on Let's Face Chaos through Nonlinear Dynamics
EditorsMarko Robnik, Valery G Romanovski
Place of publicationMelville, NY
PublisherAnerican Institute of Physics
Pages69-81
Number of pages13
Volume1468
ISBN (Print)978-0-7354-1075-6
Original languageEnglish

Publication series

NameAIP Conference Proceedings
PublisherAIP

Abstract

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.