Bifurcation analysis of a two-DoF mechanical system subject to digital position control. Part II. Effects of asymmetry and transition to chaos

• Published in: Nonlinear dynamics Vol. 74; no. 4; pp. 1223 - 1241
• Main Authors: Habib, Giuseppe, Rega, Giuseppe, Stepan, Gabor
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.12.2013; Springer Nature B.V
• Subjects: Asymmetry; Automotive Engineering; Bifurcations; Classical Mechanics; Complexity; Control; Control systems; Dynamical Systems; Engineering; Investigations; Locking; Mechanical Engineering; Mechanical systems; Original Paper; Saturation; Toruses; Vibration; Chaos; Torus breakdown; Digital position control; Asymmetric nonlinearity; Response scenario; Double Neimark–Sacker bifurcation

Considering a two DoF system subject to digital position control, of interest for robotic application, we analyze the dynamics of the system at the intersection of two loci of Neimark–Sacker bifurcations, where a double Neimark–Sacker bifurcation is taking place. In the system, the saturation of the...