Chaotic transition in a three-coupled phase-locked loop system

Chaos
Hidekatsu TsurudaMasayoshi Inoue

Abstract

The chaotic transition is observed in a three-coupled phase-locked loop (PLL) system in both experiments and numerical simulations. In this system, three PLL oscillators are connected with the periodic boundary condition. Intermittency is found in partially synchronized phase, in which two of three oscillators synchronize with each other and form a pair, and the chaotic transition occurs due to the recombination of synchronized pairs so that different pair is re-formed. In this phase, on-off intermittency is also observed and statistical analyses are carried out for on-off intermittent time series. This intermittency is considered as a hybrid type of intermittency with both on-off intermittency and intermittency due to the recombination of synchronized pairs present in the same time series. We also show the chaotic transition phenomena in a three-coupled logistic map system. (c) 2001 American Institute of Physics.

References

Oct 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Y C Lai, C Grebogi
Jan 18, 1993·Physical Review Letters·N PlattC Tresser
Aug 22, 1994·Physical Review Letters·P W HammerB D Lee
Jun 5, 2003·Chaos·N. J. BalmforthA. Provenzale

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Citations

Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nobunari TsukamotoHirokazu Fujisaka

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