Affiliation:
1. Universidad Tecnológica de Pereira (UTP), Pereira, Colombia
Abstract
We study the dynamics of an atomic force microscope (AFM) model, under the Lennard-Jones force with nonlinear damping and harmonic forcing. We establish the bifurcation diagrams for equilibria in a conservative system. Particularly, we present conditions that guarantee the local existence of saddle-node bifurcations. By using the Melnikov method, the region in the space parameters where the homoclinic orbits persist is determined in a nonconservative system.
Funder
Universiti Teknologi Petronas
Subject
General Engineering,General Mathematics
Cited by
4 articles.
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