For an AFM model with Lennard-Jones force and squeeze-film damping, the paper classifies conservative equilibria, proves saddle-node bifurcations, and derives a B/C amplitude-to-damping threshold for homoclinic persistence.
Control of Chaos in Atomic Force Microscopes
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Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing
For an AFM model with Lennard-Jones force and squeeze-film damping, the paper classifies conservative equilibria, proves saddle-node bifurcations, and derives a B/C amplitude-to-damping threshold for homoclinic persistence.