Invariant slow manifolds of an Atomic Force Microscope system under the effects of Lennard-Jones forces and a slow harmonic base motion

• Published in: Communications in nonlinear science & numerical simulation Vol. 32; pp. 49 - 62
• Main Author: Lakrad, Faouzi
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.03.2016
• Subjects: AFM; Fast–slow systems; Invariant slow manifolds; Lennard-Jones force; Tapping mode; AFM; Tapping mode; Invariant slow manifolds; Fast–slow systems; Lennard-Jones force

•We model an AFM system subject to Lennard-Jones forces and to a slow harmonic base motion.•We approximate the invariant slow manifolds of the system and we study their bifurcations.•It is shown that the tapping mode takes place through a saddle-node bifurcation of the contact and noncontact slow ma...