A new type of intermittency from a ring of four coupled phase-locked loops

Author

Hasegawa, Akio ; Komuro, Motomasa ; Endo, Tetsuro ; Igarashi, Ryo

Author_Institution

Dept. of Electr. Commun., Meiji Univ., Kawasaki, Japan

Volume

45

Issue

6

fYear

1998

fDate

6/1/1998 12:00:00 AM

Firstpage

623

Lastpage

633

Abstract

This paper investigates a new type of intermittency from a ring of four coupled phase-locked loops (PLL´s). This system can be represented by a six-dimensional nonlinear autonomous differential equation that has a four-dimensional invariant manifold named H. With a quasi-attractive property, this invariant manifold causes a type of intermittency. Namely, long laminar phases in H and short bursts out of H alternate irregularly. Different from the well-known on-off intermittency, the core of this intermittency is not a chaotic set in H, but two kinds of semistable periodic orbits in H called the entrance set and the exit set. We try to clarify the mechanism of this intermittency by using bifurcation analysis of these periodic orbits

Keywords

bifurcation; chaos; coupled circuits; neural nets; nonlinear differential equations; phase locked loops; bifurcation analysis; coupled phase-locked loops; entrance set; exit set; four-dimensional invariant manifold; intermittency; laminar phases; quasi-attractive property; semistable periodic orbits; six-dimensional nonlinear autonomous differential equation; Associative memory; Bifurcation; Chaos; Chaotic communication; Coupling circuits; Differential equations; Neural networks; Nonlinear systems; Orbits; Phase locked loops;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.678474

Filename

678474