Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable dynamics of micro-machined inductive contactless suspensions   In this article, we present a qualitative approach to study the dynamics and
stability of micro-machined inductive contactless suspensions (MIS). In the
framework of this approach, the induced eddy current into a levitated
micro-object is considered as a collection of m-eddy current circuits. Assuming
small displacements and the quasi- static behaviour of the levitated
micro-object, a generalized model of MIS is obtained and represented as a set
of six linear differential equations corresponding to six degrees of freedom in
a rigid body by using Lagrange-Maxwell formalism. The linear model allows us to
investigate the general stability properties of the MIS as a dynamic system,
and these properties are synthesized in three major theorems. In particular, we
prove that the stable levitation in the MIS without damping is impossible.
Based on the approach presented herewith, we give general guidelines for MIS
designing. In addition to we demonstrate the successful application of this
technique to study the dynamics and stability of the symmetric and axially
symmetric MIS designs both based on 3D micro-coil technology.

23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg