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

Grzegorz Litak, Arkadiusz Syta and Marian Wiercigroch

Chaos, Solitons & Fractals, 2009, vol. 40, issue 5, 2095-2101

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.

Date: 2009
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:5:p:2095-2101

DOI: 10.1016/j.chaos.2007.09.093

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