Title :
Shilnikov orbits in an autonomous third-order chaotic phase-locked loop
Author :
Watada, Kazuhiro ; Endo, Tetsuro
Author_Institution :
Dept. of Electron. & Commun., Meiji Univ., Kawasaki, Japan
Abstract :
We investigate Shilnikov homoclinic bifurcation from a new type of phase-locked loop (PLL) which uses second-order loop filter with no modulation carrier input. This system can be represented as a 3rd-order autonomous system with piecewise linear characteristics. We have found many Shilnikov orbits, and draw a bifurcation diagram in gain K0 versus detuning δ parameter plane
Keywords :
bifurcation; chaos; nonlinear network analysis; phase locked loops; piecewise-linear techniques; Shilnikov orbits; chaotic phase-locked loop; detuning δ parameter plane; homoclinic bifurcation; piecewise linear characteristics; second-order loop filter; third-order autonomous system; Bifurcation; Chaos; Chaotic communication; Differential equations; Filters; Frequency; Orbits; Phase locked loops; Piecewise linear techniques; Voltage-controlled oscillators;
Conference_Titel :
Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
Print_ISBN :
0-7803-3583-X
DOI :
10.1109/ISCAS.1997.621836
