Abstract
AbstractWhen a phase‐locked loop having an FM‐modulated input signal loses synchronization, the voltage‐controlled oscillator output may produce a random signal with continuous and broad spectrum. It has been proved already that the reason for this phenomenon is related to the existence of the homoclinic orbits which give rise to the so‐called horseshoe chaos.In this paper, various subharmonic solutions originating from the bifurcation of the periodic solution of 2nd type (associated with the asynchronous solution) are observed, both by an electronic circuit experiment and by a computer simulation. This confirms the results of computer‐generated bifurcation diagrams obtained previously.As a result, it has been clarified by actual experiment that the bifurcation diagrams obtained heretofore are correct, and, moreover, the period doubling cascade route to chaos and the intermittency route to chaos on the experimentally generated Poincaré map have been confirmed.
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