Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A comparative study of asymmetric dichotomous noise and symmetric
  trichotomous noise induced stochastic resonance in the globally coupled
  fractional oscillators   The collective behaviour, in respect of stochastic resonance, has been
studied in globally coupled oscillators (with fractional-order intrinsic and
external damping), driven by a sinusoidal force which is either noise-free or
noise-modulated, and subjected to multiplicative quadratic asymmetric
dichotomous or symmetric trichotomous noise perturbing the potential parameter,
the coupling factor and the local drift force. The influence of coupling
between the heat bath and the applied force has been included through a simple
model. The effect of variation in mass, friction and potential parameters on
the output amplitude gains as function of noise-intensity, has been
meticulously investigated for both types of noise and the exponents governing
the dependence of collective SR peak amplitude on the three oscillator
parameters have been determined and analysed. The special case arising from the
zero value of the potential parameter, which implies rectilinear motion of the
system particles in the absence of fluctuations, has been dealt with under the
influence of the second-order asymmetric dichotomous noise and stochastic
resonance has been found to occur at justifiably quite low frequencies of the
external force. This brings out the importance of nonlinear term in this
coloured noise, for which this phenomenon is unique. The accuracy of the
analytical results has been substantiated through numerical simulations.

23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an