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We study the energy transfer in the linear system \begin{document}$ \begin{cases} \ddot u+u+\dot u = b\dot v\\ \ddot v+v-\epsilon \dot v = -b\dot u \end{cases} $\end{document} made by two coupled… Click to show full abstract
We study the energy transfer in the linear system \begin{document}$ \begin{cases} \ddot u+u+\dot u = b\dot v\\ \ddot v+v-\epsilon \dot v = -b\dot u \end{cases} $\end{document} made by two coupled differential equations, the first one dissipative and the second one antidissipative. We see how the competition between the damping and the antidamping mechanisms affect the whole system, depending on the coupling parameter \begin{document}$ b $\end{document} .
Keywords:
note energy;
energy transfer;
coupled differential;
transfer coupled
Journal Title: Communications on Pure and Applied Analysis
Year Published: 2021
Link to full text (if available)
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Journal Title: Communications on Pure and Applied Analysis
Year Published: 2021
Link to full text (if available)
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recommendations!