Hopf bifurcation calculation in neutral delay differential equations: Nonlinear robotic arms subject to delayed acceleration feedback control

• Published in: International journal of non-linear mechanics Vol. 147; p. 104239
• Main Authors: Bartfai, Andras, Dombovari, Zoltan
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.12.2022
• Subjects: Delayed acceleration feedback control; Hopf bifurcation; Neutral delay differential equation; Nonlinear control; Nonlinear robotic arm; Nonlinear robotic arm; Delayed acceleration feedback control; Neutral delay differential equation; Hopf bifurcation; Nonlinear control

This study gives the derivation of the Hopf bifurcation calculation for neutral delay differential equations using the centre manifold reduction theorem and normal form calculation. The whole concept was inspired by a case study where a robotic arm subjected to nonlinear stiffness with delayed accel...