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This paper treats a microcantilever with varying cross-section subject to interatomic force derived from the Lennard-Jones potential. Such a microcantilever may be used in the atomic force microscope. The equilibrium configurations are calculated via the Bernoulli–Euler beam theory. The effect of the microcantilever length and its working distance from the sample on the number and the stability of the equilibrium configurations are analyzed via the Lagrange–Dirichlet theorem.  相似文献
2.
In this paper, an attempt is made to propose a general definition of synchronization for finite dimensional dynamical systems. The synchronization is defined here for two coupled dynamical systems with control inputs. Output functions of such systems are introduced to describe the systems’ properties on which the synchronization problem focus. Exact synchronization, asymptotic synchronization, and approximate synchronization are, respectively, defined by comparing the output functions in the corresponding ways. The definition here can also include chaos control and anti-control. The definition here covers various synchronization investigated in the references.  相似文献
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