In most bistable system the Stochastic Resonance Occurs in both homogeneous and inhomogeneous medium. In the problem of Stochastics Resonance with the effect of running friction and periodic driven force, we numerically solve the under damped motion with Stochastics Resonance system parameters. In the inhomogeneity the directional asymmetry is brought by the friction. We analyze the trajectory and the ratcheting of the system and we explained for the same.

1.
A.
Einstein
,
Ann. d. Phys.
,
17
, p.
549
,
1905
.
2.
D.
Kharkongor
,
W. L.
Reenbohn
, and
M. C.
Mahato
,
Phys. Rev. E
94
,
022148
(
2016
).
4.
H.
Risken
,
The Fokker-Planck Equation
(
Springer-Verlag
,
Berlin
,
1989
), Chap. 11.
5.
I.
Dornic
,
H.
Chaté
, and
Miguel A.
Muñoz
,
Phys. Rev. Lett.
94
,
100601
(
2005
).
6.
D.
Dan
,
M. C.
Mahato
, and
A. M.
Jayannavar
,
Phys. Rev. E
60
,
6421
(
1999
).
7.
D.
Burgreen
J. Basic Eng.
Sep
1968
,
90
(
3
):
319
324
.
8.
J.
Spiechowicz
,
M.
Kostur
, and
J.
Łuczka
CHAOS
27
,
023111
(
2017
).
9.
M.
Qian
,
Y.
Wang
, and
X. J.
Zhang
,
Chin. Phys. Lett.
20
,
810
(
2003
).
10.
J. M.
Sancho
,
M. San
Miguel
, and
D.
Durr
,
J. Stat. Phys.
28
,
291
(
1982
).
11.
R.
Mannella
, A gentle introduction to the integration of stochastic differential equations, in Stochastic Processes in Physics, Chemistry, and Biology, edited by
J. A.
Freund
and
T.
Poschel
,
Lecture Notes in Physics
Vol.
557
(
Springer
,
Berlin
,
2000
).
12.
K.
Sekimoto
,
J. Phys. Soc. Jpn.
66
,
1234
(
1997
).
13.
E.
Heinsalu
,
M.
Patriarca
, and
F.
Marchesoni
,
Eur. Phys. J. B
69
,
19
(
2009
).
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