@ -123,7 +123,7 @@ A \textbf{limit cycle} is an isolated closed trajectory. \textit{Isolated} means
\label{f:lc_st}
\end{figure}
If all neighboring trajectories approach the limit cycle, we say the limit cycle is \textbf{stable} or \textit{attracting}, as shown on \cref{f:lc_st}. Otherwise the limit cycle is \textbf{unstable}, or in exceptional cases, \textbf{half-stable}. Stable limit cycles are very important scientifically they model systems that exhibit self-sustained oscillations. In other words, these systems oscillate even in the absence of external periodic forcing.
If all neighboring trajectories approach the limit cycle, we say the limit cycle is \textbf{stable} or \textit{attracting}, as shown on \cref{f:lc_st}. Otherwise the limit cycle is \textbf{unstable}, or in exceptional cases, \textbf{half-stable}. Stable limit cycles are very important scientifically as they model systems that exhibit self-sustained oscillations. In other words, these systems oscillate even in the absence of external periodic forcing.
\begin{figure}[ht!]
\centering
@ -208,6 +208,8 @@ The Van der Pol oscillator can be forced too, however, this work does not aim to
\section{Applications in Electronics}
%The modeling met some more advanced applications in electronics field, too. We will briefly summarize some of them, in this section.
\subsection{Josephson Junctions}
\textbf{Josephson junctions} are superconducting devices that are capable of generating voltage oscillations of extraordinary high frequency, typically 10\textsuperscript{10} - 10\textsuperscript{11} cycles per second \cite{van1981principles}. They consist of two superconducting layers, separated by a very thin insulator that weakly couples them, as shown on \cref{f:jjunc}.
@ -253,16 +255,13 @@ Appendix two text goes here.
% use section* for acknowledgement
\section*{Acknowledgment}
The authors would like to thank...
The authors would like to thank professor Carlos Par\'{e}s for having patience with them. Another thank would go to the well-written book \emph{Nonlinear Dynamics and Chaos, S.H. Strogatz, 2008} for introduction to and for sparking curiosity in the field of Dynamical Systems.
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