Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Feedback Spin-Valve Memristive System   We propose theoretically a generalized memristive system based on controlled
spin polarizations in the giant magnetoresistive material using a feedback loop
with the classical Hall Effect. The dynamics can exhibit a memristive pinched
hysteretic loop that possesses the self-crossing knot not located at the
origin. Additionally, one can also observe a single-looped orbit in the device.
We also provide a sufficient condition for the stability based on an estimation
of the Floquet exponent. The analysis shows that the non-origin-crossing
dynamics is generally permitted in a class of passive memory systems that are
not subject to Ohm's Law. We further develop the prevailing homogeneous
definition to a broadened concept of generalized heterogeneous memristive
systems, permitting no self-crossing knot at the origin, and ultimately to the
compound memory electronic systems.

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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an