Title :
Calculation of the homoclinic bifurcation sets of PLL equation with five-segment piecewise-linear phase detector characteristic
Author :
Ohno, Wataru ; Endo, Tetsuro
Author_Institution :
Dept. of Electron. & Commun., Meiji Univ., Kawasaki, Japan
Abstract :
In this paper we calculate the homoclinic bifurcation set for large damping phase-locked loop with a five segment piecewise linear phase detector via Melnikov´s method. We can obtain results with small numerical errors, since we can calculate homoclinic orbits analytically by using the piecewise-linear method. Finally, we consider the extinction mechanism of the running chaotic attractor
Keywords :
bifurcation; chaos; nonlinear network analysis; phase locked loops; piecewise-linear techniques; Melnikov method; PLL equation; extinction mechanism; five-segment PWL phase detector; homoclinic bifurcation sets; large damping PLL; phase-locked loop; piecewise-linear phase detector characteristic; running chaotic attractor; Bifurcation; Chaos; Damping; Detectors; Equations; Orbital calculations; Orbits; Phase detection; Phase locked loops; Piecewise linear techniques;
Conference_Titel :
Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-4455-3
DOI :
10.1109/ISCAS.1998.704018
