Natural oscillations in a logperiodic chain of oscillators
Abstract
An analysis is presented of natural oscillations in a logperiodic chain (LPC) of oscillators; the simple case of a chain of coupled oscillators is considered, though the proposed formalism can be extended to more complex LPCs. It is shown that natural oscillations in an LPC of oscillators can be fully described if the base frequency and the corresponding eigenvector are known. The governing equations are obtained, and the explicit form of the eigenvector is determined for the case of weak coupling between the oscillators.
 Publication:

Fizika
 Pub Date:
 May 1983
 Bibcode:
 1983Fiz....26..116K
 Keywords:

 Log Periodic Antennas;
 Oscillators;
 Resonant Vibration;
 Antenna Couplers;
 Eigenvectors;
 Fourier Transformation;
 Electronics and Electrical Engineering