Title :
On-off intermittency from a ring of four coupled PLLs
Author :
Hasegawa, Akio ; Igarashi, Ryo ; Endo, Tetsuro ; Komuro, Motomasa
Author_Institution :
Dept. of Electron. & Commun., Meiji Univ., Kawasaki, Japan
Abstract :
This paper investigates on-off intermittency from a ring of four coupled PLLs. We find some parameter values at which on-off intermittency occurs by calculating the transversal Lyapunov exponent, and demonstrate on-off intermittency both by computer simulation and electronic circuit experiment. From some facts, we elucidate that the intermittency observed at these parameter values is really on-off intermittency. Moreover, we clarify the generation mechanism of on-off intermittency geometrically by investigating bifurcations of the periodic orbits in the invariant manifold
Keywords :
Lyapunov methods; bifurcation; chaos; coupled circuits; network parameters; nonlinear network analysis; phase locked loops; bifurcations; chaotic itinerancy; computer simulation; coupled PLL ring; generation mechanism; invariant manifold; on-off intermittency; parameter values; periodic orbits; transversal Lyapunov exponent; Chaos; Chaotic communication; Computer simulation; Coupling circuits; Detectors; Differential equations; Electronic circuits; Orbits; Phase detection; Phase locked loops;
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.1998.704011
