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

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4 Author(s)
Hasegawa, A. ; Dept. of Electr. Commun., Meiji Univ., Kawasaki, Japan ; Komuro, M. ; Endo, T. ; Igarashi, R.

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

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:45 ,  Issue: 6 )