Physical Reality  of Resonance  on Complex Frequencies

On the example of research of the simplest electric LCR-circuits it is shown that they have different frequencies corresponding to various definitions of resonance at real frequencies. Consequently, the resonance theory is imperfect.

Proceeding from the geometric sense of Cassinian oval, the resonance theory based on complex frequencies free of the aforementioned contradictions is suggested. The physical meaning of resonance on complex frequencies is explained.

Therefore in accordance with the principle of“Ockham’s blade” the physical reality of resonance on complex frequencies is concluded.