Identification of chaos in a cutting process by the 0-1 test

Grzegorz Litak, Arkadiusz Syta, Marian Wiercigroch

Research output: Contribution to journalArticle

53 Citations (Scopus)

Abstract

We have examined the cutting process by using a two degrees of freedom non-smooth model with a friction component. Instead of the standard Lyapunov exponent treatment a statistical ‘0–1’ test based on the asymptotic properties of a non-harmonic Brownian motion chain has been successively applied to reveal the nature of the cutting process. In this test we calculated the control parameter K which is approaching asymptotically to 0 or 1 for regular and chaotic motions, respectively. The presented approach is independent on the integration procedure as we defined a characteristic distance between the points forming the time series used in the test separately.
Original languageEnglish
Pages (from-to)2095–2101
Number of pages7
JournalChaos, Solitons & Fractals
Volume40
Issue number5
Early online date7 Nov 2007
DOIs
Publication statusPublished - 15 Jun 2009

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Chaos
Chaotic Motion
Lyapunov Exponent
Control Parameter
Asymptotic Properties
Brownian motion
Friction
Time series
Degree of freedom
Model
Standards

Cite this

Identification of chaos in a cutting process by the 0-1 test. / Litak, Grzegorz; Syta, Arkadiusz ; Wiercigroch, Marian.

In: Chaos, Solitons & Fractals, Vol. 40, No. 5, 15.06.2009, p. 2095–2101.

Research output: Contribution to journalArticle

Litak, Grzegorz ; Syta, Arkadiusz ; Wiercigroch, Marian. / Identification of chaos in a cutting process by the 0-1 test. In: Chaos, Solitons & Fractals. 2009 ; Vol. 40, No. 5. pp. 2095–2101.
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