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A note on the energy transfer in coupled differential systems

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 Added by Lorenzo Liverani
 Publication date 2021
  fields
and research's language is English




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We study the energy transfer in the linear system $$ begin{cases} ddot u+u+dot u=bdot v ddot v+v-epsilon dot v=-bdot u end{cases} $$ 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 $b$.



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