Title :
Chaos from phase-locked loops
Author :
Endo, Tetsuro ; Chua, Leon O.
Author_Institution :
Dept. of Electr. Eng., Nat. Defense Adad., Yokusoka, Japan
fDate :
8/1/1988 12:00:00 AM
Abstract :
The chaotic dynamics observed for the second-order phase-locked loop (PLL) operating as a frequency-modulated (FM) demodulator are studied theoretically as well as experimentally. The existence of horseshoe chaos in this circuit is proved using Melnikov´s method. It is demonstrated that chaos can indeed occur in a practical FM demodulator circuit made of an integrated circuit module and using realistic parameter values. Explicit expressions that specify the possible region of chaos are derived
Keywords :
chaos; demodulators; frequency modulation; nonlinear network analysis; phase-locked loops; FM demodulator; Melnikov´s method; PLL; chaotic dynamics; frequency modulation; horseshoe chaos; integrated circuit module; phase-locked loops; second-order; Chaos; Circuits; Demodulation; Detectors; Frequency modulation; Phase detection; Phase locked loops; Phase modulation; Radar tracking; Voltage-controlled oscillators;
Journal_Title :
Circuits and Systems, IEEE Transactions on
