Saddle-Node Bifurcation and Homoclinic Persistence in AFMs with Periodic Forcing

الملخص EN

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.