COMPLEX DYNAMICS IN METAL-CUTTING

Authors
BERGER BS ROKNI M MINIS I
Citation
Bs. Berger et al., COMPLEX DYNAMICS IN METAL-CUTTING, Quarterly of applied mathematics, 51(4), 1993, pp. 601-612
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
Journal title
Quarterly of applied mathematics → ACNP
ISSN journal
0033569X
Volume
51
Issue
4
Year of publication
1993
Pages
601 - 612
Database
ISI
SICI code
0033-569X(1993)51:4<601:CDIM>2.0.ZU;2-N
Abstract
The attractor associated with a system of nonlinear differential-delay equations, arising from the Wu-Liu metal cutting model, is shown to h ave a noninteger pointwise dimension and positive metric entropy. Proj ections of the attractor onto a two-dimensional plane substantiate the existence of complex dynamics. The result suggests that certain regen erative chatter states may be chaotic.