Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability analysis of an oscillating tip-cantilever system in NC-AFM   This paper is a theoretical and a numerical investigation of the stability of
a tip-cantilever system used in noncontact atomic force microscopy (NC-AFM)
when it oscillates close to a surface. No additional dissipative force is
considered. The theoretical approach is based on a variational method
exploiting a coarse grained operation that gives the temporal dependance of the
non-linear coupled equations of motion in amplitude and phase of the
oscillator. Stability criterions for the resonance peak are deduced and predict
a stable behavior of the oscillator in the vicinity of the resonance. The
numerical approach is based on the results obtained with a virtual NC-AFM
developed by our group. The effect of the size of the stable domain in phase is
investigated. These results are in particularly good agreement with the
theoretical predictions. Also they show the influence of the phae shifter in
the feedback loop and the way it can affect the damping signal.

30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc