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\title{Phase-locked states in the system of two capacityvely
  coupled Josephson junctions }
\author{F.Kh.Abdullaev $^1$, A.A.Abdumalikov (Jr.) $^{1,3}$,
  O.Buisson $^2$,  E.N.Tsoy $^1$}
\address{$^{1}$ Physical-Technical Institute of the Uzbek Academy
  of Sciences,\\
  Mavlyanova str., 2-b, Tashkent, 700084, Uzbekistan\\
  $^2$ CNRS-CRTBT, BP166, 38042 Grenoble C\'{e}dex 9, France \\
  Physikalisches Institute III, Erlangen-Nürnberg University,
  Erwin-Rommel-Straße-1, D-91058 Erlangen, Germany}
\date{\today}
\maketitle


\begin{abstract}
  The dynamics of two Josephson junctions coupled by a capacitance
is studied analytically and numerically. Two types of phase-locked
states  are found for the system. In the first type of states,
voltages across either junction vary periodically on non-zero
background. In the second type, voltage across one junction
oscillates near zero. Existence conditions for the phase-locking,
parameters of synchronized oscillations are obtained. The comparison
of analytical results with numerical calculations show good
agreement.
\end{abstract}

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