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Identification of chaos in a regenerative cutting process by the 0‐1 test
Author(s) -
Litak Grzegorz,
Radons Günter,
Schubert Sven
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910123
Subject(s) - lyapunov exponent , chaotic , process (computing) , chaos (operating system) , identification (biology) , control theory (sociology) , component (thermodynamics) , degrees of freedom (physics and chemistry) , motion (physics) , statistical physics , stability (learning theory) , computer science , mathematics , physics , artificial intelligence , machine learning , botany , thermodynamics , computer security , control (management) , quantum mechanics , biology , operating system
We examine the regenerative cutting process by using a single degree of freedom non‐smooth model with a friction component and a time delay term. Instead of the standard Lyapunov exponent calculations, we propose a statistical 0‐1 test for chaos. This approach reveals the nature of the cutting process signaling regular or chaotic dynamics. We are able to show that regular or chaotic motion occur in the investigated model depending on the delay time. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)