Original Paper

Nonlinear Dynamics

, Volume 69, Issue 3, pp 1255-1262

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Nonlinear dynamics of a regenerative cutting process

  • Grzegorz LitakAffiliated withDepartment of Applied Mechanics, Technical University of Lublin Email author 
  • , Sven SchubertAffiliated withInstitute of Physics, Chemnitz University of Technology
  • , Günter RadonsAffiliated withInstitute of Physics, Chemnitz University of Technology


We examine the regenerative cutting process by using a single degree of freedom nonsmooth model with a friction component and a time delay term. Instead of the standard Lyapunov exponent calculations, we propose a statistical 0-1 test analysis for chaos detection. This approach reveals the nature of the cutting process signaling regular or chaotic dynamics. For the investigated deterministic model, we are able to show a transition from chaotic to regular motion with increasing cutting speed. For two values of time delay showing the different response, the results have been confirmed by the means of the spectral density and the multiscaled entropy.


Cutting process 0-1 test Multiscale entropy