Title :
The dynamics of parametric frequency divider and some of its practical implications
Author :
Sarafian, G. ; Kaplan, B.Z.
Author_Institution :
Dept. of Electr. & Comput. Eng., Ben-Gurion Univ. of the Negev, Beer-Sheva, Israel
Abstract :
The dynamics of a parametric frequency divider is treated rigorously. The complicated process of subharmonic generation is shown to be related to the Mathieu equation. Due to its similarity to the well known RL diode circuit, the system is capable of generating chaos as well as subharmonics. Hence, the circuit can not merely be regarded as a core for constructing frequency synthesizers but it can probably serve as a noise generator as well. Furthermore, recently suggested methods of chaos control may enable the output to be switched rapidly between different types of subharmonics modes of operation
Keywords :
bifurcation; chaos; frequency dividers; frequency synthesizers; harmonic generation; noise generators; nonlinear dynamical systems; parametric devices; Mathieu equation; bifurcation; chaos control; chaos generation; frequency synthesizers; noise generator; parametric frequency divider; subharmonic generation; system dynamics; Bifurcation; Chaos; Circuits; Diodes; Frequency conversion; Frequency synthesizers; Mathematical model; Nonlinear equations; Varactors; Voltage;
Conference_Titel :
Electrical and Electronics Engineers in Israel, 1996., Nineteenth Convention of
Conference_Location :
Jerusalem
Print_ISBN :
0-7803-3330-6
DOI :
10.1109/EEIS.1996.567031
