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arXiv · 1908.05777

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

Alexander Gutierrez G.·Daniel Cortés Z.·Diego A.·Castro G
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Abstract

We study the dynamics of an Atomic Force Microscope (AFM) model, under the Lennard-Jones force with non-linear 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 persistence of homoclinic orbits is determined in a non-conservative system.

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Alexander Gutierrez G., Daniel Cortés Z., Diego A., Castro G. 2019-08-15. Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing. https://arxiv.org/abs/1908.05777

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