Rapid convergence of time-averaged frequency in phase synchronized systems

Publication Type:

Journal Article

Authors:

Davidsen, J.; Kiss, I.Z.; Hudson, J.L.; Kapral, R.

Source:

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Volume 68, Number 2 2, p.026217/1-026217/6 (2003)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-37649028969&partnerID=40&md5=b6096438e5f576a18427c6b26eb1d4ff

Keywords:

Computer Simulation, Electrodes, Lorenz system, Mathematical transformations, Natural frequencies, Oscillators (electronic), Phase synchronized systems, Poincare map, Poincare surface, Probability, Rossler oscillators, Synchronization, Time-averaged frequency, White noise

Abstract:

An overview is given of the observation that the effective noise exhibits strong temporal correlations from a general class of chaotic attractors. Focus is on evidence from simulations and experiments that many phase synchronized systems of chaotic oscillators, where the chaotic state is reached through a period-doubling cascade, show a rapid convergence of the time-averaged frequency.

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