“…In addition, in highly interrupted turning, sometimes there is an additional loss of stability due to period-doubling bifurcations resulting in stability lenses (Corpus and Endres, 2004; Stépán et al, 2005; Szalai and Stépán, 2006). Furthermore, the interruptions make the cutting forces non-smooth (Zanka et al, 2010), and nonlinear (Chen et al, 2015; Corpus and Endres, 2004; Stépán et al, 2005; Szalai and Stépán, 2006). The smooth cutting force nonlinearities make the process unstable for large perturbations, while for small ones, it remains stable, thus forming a bistable region (Kalmar-Nagy et al, 1999; Shi and Tobias, 1984).…”