Title :
Bifurcation and fractal basin boundaries of phase-locked loop circuits
Author :
Endo, Tetsuro ; Chua, Leon O.
Author_Institution :
Dept. of Electr. Eng., Nat. Defense Acad., Yokosuka, Japan
Abstract :
By drawing exact bifurcation diagrams, it is confirmed that the Melnikov curve of homoclinicity gives a good prediction for the onset of the chaotic attractor bifurcated from the periodic solution of the second type in some region of the external sinusoidal force. It is also confirmed that the Melnikov´s curve becomes an onset of the fractal basin boundary of multiple attractors. This is confirmed by drawing various initial condition planes above and below the curve
Keywords :
chaos; nonlinear network analysis; phase-locked loops; Melnikov homoclinicity curve; chaotic attractor bifurcation; exact bifurcation diagrams; external sinusoidal force; fractal basin boundary; initial condition planes; multiple attractors; onset prediction; phase-locked loop circuits; second type periodic solution; Bifurcation; Chaos; Circuits; Computer simulation; Equations; Fractals; Frequency; Newton method; Orbits; Phase locked loops;
Conference_Titel :
Circuits and Systems, 1989., IEEE International Symposium on
Conference_Location :
Portland, OR
DOI :
10.1109/ISCAS.1989.100477
