Invariant slow manifolds of an Atomic Force Microscope system under the effects of Lennard-Jones forces and a slow harmonic base motion
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- 作者：Faouzi Lakrad ; lakrad@hotmail.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：AFM ; Lennard-Jones force ; Tapping mode ; Invariant slow manifolds ; Fast&ndash ; slow systems
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2016
- 出版时间：March 2016
- 年：2016
- 卷：32
- 期：Complete
- 页码：49-62
- 全文大小：1577 K
文摘
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We model an AFM system subject to Lennard-Jones forces and to a slow harmonic base motion.
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We approximate the invariant slow manifolds of the system and we study their bifurcations.
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It is shown that the tapping mode takes place through a saddle-node bifurcation of the contact and noncontact slow manifolds respectively.
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Chart of behaviors of different modes are determined and the time contact is computed.