The joint action of the matching to a common RC-load and thermal noise on the spectral properties of parallel Josephson junction array is studied. It is demonstrated that proper matching suppresses the chaotic dynamics of the system. The efficiency of radiation is found to be highest within a limited frequency band, which corresponds to transformation of the shuttle soliton oscillating regime into the linear wave resonance synchronization mode. In this frequency band the spectral linewidth agrees well with a double of the linewidth for a shuttle fluxon oscillator, divided by a number of the oscillators in the array. When the oscillations demonstrate strong amplitude modulation, the linewidth increases roughly by a factor of five compared with theoretical linewidth formula.

1.
M.
Bennett
,
M.
Schatz
,
H.
Rockwood
, and
K.
Wiesenfeld
,
Proc. R. Soc. London, A
458
,
563
(
2002
).
2.
E. V.
Pankratova
and
V. N.
Belykh
,
Phys. Lett. A
376
,
3076
(
2012
).
3.
S. H.
Strogatz
,
D. M.
Abrams
,
A.
McRobie
,
B.
Eckhardt
, and
E.
Ott
,
Nature
438
,
43
(
2005
).
4.
J.
Javaloyes
,
M.
Perrin
, and
A.
Politi
,
Phys. Rev. E
78
,
011108
(
2008
).
5.
R.
Suresh
,
K.
Srinivasan
,
D. V.
Senthilkumar
,
K.
Murali
,
M.
Lakshmanan
, and
J.
Kurths
,
Int. J. Bifurcation Chaos
24
,
1450067
(
2014
).
6.
V.
Resmi
,
G.
Ambika
,
R. E.
Amritkar
, and
G.
Rangarajan
,
Phys. Rev. E
85
,
046211
(
2012
).
7.
E. V.
Pankratova
and
V. N.
Belykh
,
Eur. Phys. J.: Spec. Top.
222
,
2509
(
2013
).
8.
A. L.
Pankratov
,
Phys. Rev. B
68
,
024503
(
2003
).
9.
A. L.
Pankratov
and
B.
Spagnolo
,
Phys. Rev. Lett.
93
,
177001
(
2004
);
[PubMed]
A. V.
Gordeeva
,
A. L.
Pankratov
, and
B.
Spagnolo
,
Int. J. Bifurcation Chaos
18
,
2825
(
2008
).
10.
K. G.
Fedorov
and
A. L.
Pankratov
,
Phys. Rev. Lett.
103
,
260601
(
2009
);
[PubMed]
G.
Augello
,
D.
Valenti
,
A. L.
Pankratov
, and
B.
Spagnolo
,
Eur. Phys. J. B
70
,
145
(
2009
);
D.
Valenti
,
C.
Guarcello
, and
B.
Spagnolo
,
Phys. Rev. B
89
,
214510
(
2014
).
11.
U.
Welp
,
K.
Kadowaki
, and
R.
Kleiner
,
Nat. Photonics
7
,
702
(
2013
).
12.
A. K.
Jain
,
K. K.
Likharev
,
J. E.
Lukens
, and
J. E.
Sauvageau
,
Phys. Rep.
109
(
6
),
309
(
1984
).
13.
S. G.
Lachenmann
,
G.
Filatrella
,
A. V.
Ustinov
,
T.
Doderer
,
N.
Kirchmann
,
D.
Quenter
,
R. P.
Huebener
,
J.
Niemeyer
, and
R.
Pöpel
,
J. Appl. Phys.
77
,
2598
(
1995
).
14.
P. A. A.
Booi
and
S. P.
Benz
,
Appl. Phys. Lett.
68
,
3799
(
1996
).
15.
A. V.
Ustinov
,
B. A.
Malomed
, and
S.
Sakai
,
Phys. Rev. B
57
,
11691
(
1998
).
16.
P.
Barbara
,
A. B.
Cawthorne
,
S. V.
Shitov
, and
C. J.
Lobb
,
Phys. Rev. Lett.
82
,
1963
(
1999
).
17.
D.
Abraimov
,
P.
Caputo
,
G.
Filatrella
,
M. V.
Fistul
,
G.
Yu. Logvenov
, and
A. V.
Ustinov
,
Phys. Rev. Lett.
83
,
5354
(
1999
).
18.
G.
Filatrella
,
N. F.
Pedersen
, and
K.
Wiesenfeld
,
Phys. Rev. E
61
,
2513
(
2000
);
G.
Filatrella
,
N. F.
Pedersen
, and
K.
Wiesenfeld
,
IEEE TAS
11
,
1184
(
2001
).
19.
G.
Filatrella
,
B.
Straughn
, and
P.
Barbara
,
J. Appl. Phys.
90
,
5675
(
2001
).
20.
V. P.
Koshelets
and
S. V.
Shitov
,
Supercond. Sci. Technol.
13
,
R53
(
2000
).
21.
A. E.
Koshelev
,
Phys. Rev. B
78
,
174509
(
2008
);
S.-Z.
Lin
and
A. E.
Koshelev
,
Phys. Rev. B
87
,
214511
(
2013
).
22.
V. E.
Grishin
and
L. A.
Muravey
,
IEEE Trans. Appl. Supercond.
21
,
3075
(
2011
);
V. E.
Grishin
,
L. A.
Muravey
, and
V. A.
Cherenkov
,
IEEE Trans. Appl. Supercond.
21
,
3079
(
2011
).
23.
Y. S.
Kivshar
and
B. A.
Malomed
,
Rev. Mod. Phys.
61
,
763
(
1989
).
24.
K. K.
Likharev
and
V. K.
Semenov
,
IEEE Trans. Appl. Supercond.
1
,
3
(
1991
).
25.
V. K.
Semenov
and
D. V.
Averin
,
IEEE Trans. Appl. Supercond.
13
,
960
(
2003
).
26.
I. I.
Soloviev
,
N. V.
Klenov
,
A. L.
Pankratov
,
E.
Il'ichev
, and
L. S.
Kuzmin
,
Phys. Rev. E
87
,
060901(R)
(
2013
).
27.
C.
Soriano
,
G.
Costabile
, and
R. D.
Parmentier
,
Supercond. Sci. Technol.
9
,
578
(
1996
).
28.
A. L.
Pankratov
,
A. S.
Sobolev
,
V. P.
Koshelets
, and
J.
Mygind
,
Phys. Rev. B
75
,
184516
(
2007
).
29.
A. V.
Ustinov
,
M.
Cirillo
, and
B. A.
Malomed
,
Phys. Rev. B
47
,
8357
(
1993
).
30.
A. V.
Ustinov
,
M.
Cirillo
,
B. H.
Larsen
,
V. A.
Oboznov
,
P.
Carelli
, and
G.
Rotoli
,
Phys. Rev. B
51
,
3081
(
1995
).
31.
O. M.
Braun
,
B.
Hu
, and
A.
Zeltser
,
Phys. Rev. E
62
,
4235
(
2000
).
32.
V. S.
Anishchenko
,
V.
Astakhov
,
A.
Neiman
,
T.
Vadivasova
, and
L.
Schimansky-Geier
,
Nonlinear Dynamics of Chaotic and Stochastic Systems: Tutorial and Modern Developments
(
Springer Science & Business Media
,
2007
).
33.
A. L.
Pankratov
,
Appl. Phys. Lett.
92
,
082504
(
2008
).
34.
K. G.
Fedorov
and
A. L.
Pankratov
,
J. Commun. Technol. Electron.
52
,
104
108
(
2007
).
35.
A. L.
Pankratov
,
Phys. Rev. B
78
,
024515
(
2008
).
36.
J.
Dahm
,
A.
Denestein
,
D. N.
Langenberg
,
W. H.
Parker
,
D.
Rogovin
, and
D. J.
Scalapino
,
Phys. Rev. Lett.
22
,
1416
(
1969
).
37.
E.
Joergensen
,
V. P.
Koshelets
,
R.
Monaco
,
J.
Mygind
,
M. R.
Samuelsen
, and
M.
Salerno
,
Phys. Rev. Lett.
49
,
1093
(
1982
).
38.
A. N.
Malakhov
,
Fluctuations in Autooscillating Systems
(
Science
,
Moscow
,
1968
) (in Russian).

Supplementary Material

You do not currently have access to this content.