| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1889278 | Chaos, Solitons & Fractals | 2009 | 7 Pages |
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.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Grzegorz Litak, Arkadiusz Syta, Marian Wiercigroch,