Complex dynamics in metal cutting

Berger, B. S.; Rokni, M.; Minis, I.

doi:10.1090/qam/1247430

Authors: B. S. Berger, M. Rokni and I. Minis
Journal: Quart. Appl. Math. 51 (1993), 601-612
MSC: Primary 58F12; Secondary 34C99, 58F13, 58F40, 70K50
DOI: https://doi.org/10.1090/qam/1247430
MathSciNet review: MR1247430
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Abstract: The attractor associated with a system of nonlinear differential-delay equations, arising from the Wu-Liu metal cutting model, is shown to have a noninteger pointwise dimension and positive metric entropy. Projections of the attractor onto a two-dimensional plane substantiate the existence of complex dynamics. The result suggests that certain regenerative chatter states may be chaotic.

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