# Resonance and energy flow

In this post, Alfred Centauri describes the resonance as a phenomenon which appears when 'the energy flow from the driving source is unidirectional' and then shows that this is the case for $$\Omega=\omega_0$$.

However, we know that the resonance is reached for $$\Omega = \omega_0 \sqrt{1 - 2 (\beta / \omega_0)^2}$$. Knowing that, why isn't: $$\omega_0 \sqrt{1 - 2 (\beta / \omega_0)^2}$$ the only frequency at which the power is positive $$\forall t$$ rather than: $$\omega_0$$ (for $$\beta\neq0$$).

edit: Maybe, it's because the frequency corresponding to the maximum energy transfer isn't the same as the one corresponding to the maximum amplitude...

• It might be a good idea to plot both things, the amplitude and energy to compare their peaks. Jun 18 '19 at 3:13