Time series analysis of turbulent and non-autonomous systems

Physics

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter

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Time series analysis of turbulent and non-autonomous systems. / Clemson, Philip ; Stefanovska, Aneta.
8th International Summer School/Conference on Let's Face Chaos through Nonlinear Dynamics. ed. / Marko Robnik; Valery G Romanovski. Vol. 1468 Melville, NY : Anerican Institute of Physics, 2012. p. 69-81 (AIP Conference Proceedings).

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter

Harvard

Clemson, P & Stefanovska, A 2012, Time series analysis of turbulent and non-autonomous systems. in M Robnik & VG Romanovski (eds), 8th International Summer School/Conference on Let's Face Chaos through Nonlinear Dynamics. vol. 1468, AIP Conference Proceedings, Anerican Institute of Physics, Melville, NY , pp. 69-81 . https://doi.org/10.1063/1.4745573

APA

Clemson, P., & Stefanovska, A. (2012). Time series analysis of turbulent and non-autonomous systems. In M. Robnik, & V. G. Romanovski (Eds.), 8th International Summer School/Conference on Let's Face Chaos through Nonlinear Dynamics (Vol. 1468, pp. 69-81 ). (AIP Conference Proceedings). Anerican Institute of Physics. https://doi.org/10.1063/1.4745573

Vancouver

Clemson P , Stefanovska A. Time series analysis of turbulent and non-autonomous systems. In Robnik M, Romanovski VG, editors, 8th International Summer School/Conference on Let's Face Chaos through Nonlinear Dynamics. Vol. 1468. Melville, NY : Anerican Institute of Physics. 2012. p. 69-81 . (AIP Conference Proceedings). doi: 10.1063/1.4745573

Author

Clemson, Philip ; Stefanovska, Aneta. / Time series analysis of turbulent and non-autonomous systems. 8th International Summer School/Conference on Let's Face Chaos through Nonlinear Dynamics. editor / Marko Robnik ; Valery G Romanovski. Vol. 1468 Melville, NY : Anerican Institute of Physics, 2012. pp. 69-81 (AIP Conference Proceedings).

Bibtex

@inbook{830bafc7f1aa44a0b595548948b0dda8,

title = "Time series analysis of turbulent and non-autonomous systems",

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. ",

keywords = "turbulence, Chaos, stochastic, embedding, complexity, wavelet transform, quasi-periodic forcing ",

author = "Philip Clemson and Aneta Stefanovska",

year = "2012",

doi = "10.1063/1.4745573",

language = "English",

isbn = "978-0-7354-1075-6 ",

volume = "1468",

series = "AIP Conference Proceedings",

publisher = "Anerican Institute of Physics",

pages = "69--81 ",

editor = "Marko Robnik and Romanovski, {Valery G}",

booktitle = "8th International Summer School/Conference on Let's Face Chaos through Nonlinear Dynamics",

}

RIS

TY - CHAP

T1 - Time series analysis of turbulent and non-autonomous systems

AU - Clemson, Philip

AU - Stefanovska, Aneta

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - turbulence

KW - Chaos

KW - stochastic

KW - embedding

KW - complexity

KW - wavelet transform

KW - quasi-periodic forcing

U2 - 10.1063/1.4745573

DO - 10.1063/1.4745573

M3 - Chapter

SN - 978-0-7354-1075-6

VL - 1468

T3 - AIP Conference Proceedings

SP - 69

EP - 81

BT - 8th International Summer School/Conference on Let's Face Chaos through Nonlinear Dynamics

A2 - Robnik, Marko

A2 - Romanovski, Valery G

PB - Anerican Institute of Physics

CY - Melville, NY

ER -

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