Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hard and soft excitation of oscillations in memristor-based oscillators
  with a line of equilibria   A model of memristor-based Chuas oscillator is studied. The considered system
has infinitely many equilibrium points, which build a line of equilibria.
Bifurcational mechanisms of oscillation excitation are explored for different
forms of nonlinearity. Hard and soft excitation scenarios have principally
different nature. The hard excitation is determined by the memristor
piecewise-smooth characteristic and is a result of a border-collision
bifurcation. The soft excitation is caused by addition of a smooth nonlinear
function and has distinctive features of the supercritical Andronov-Hopf
bifurcation. Mechanisms of instability and amplitude limitation are described
for both two cases. Numerical modelling and theoretical analysis are combined
with experiments on an electronic analog model of the system under study. The
issues concerning physical realization of the dynamics of systems with a line
of equilibria are considered. The question on whether oscillations in such
systems can be classified as the self-sustained oscillations is raised.

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The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat