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Phase synchronization from noisy univariate signals.

A G Rossberg1, K Bartholomé, H U Voss

  • 1Center for Data Analysis and Modeling, Albert-Ludwigs-Universität Freiburg, Eckerstr. 1, 79104 Freiburg, Germany.

Physical Review Letters
|November 5, 2004
PubMed
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This study introduces novel methods to detect phase synchronization in noisy oscillators using only the driven oscillator's signal. These techniques identify both soft and hard phase locking, applicable to flow meter synchronization.

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Engineering

Background:

  • Phase synchronization is crucial in coupled oscillator systems.
  • Analyzing noisy, unidirectionally coupled oscillators presents challenges.
  • Existing methods may require signals from all oscillators.

Purpose of the Study:

  • To develop methods for detecting phase synchronization from a single oscillator's signal.
  • To differentiate between soft and hard phase locking.
  • To apply these methods to real-world applications like flow meters.

Main Methods:

  • Signal processing techniques applied to the driven oscillator's output.
  • Development of algorithms for soft phase locking detection.
  • Development of algorithms for hard phase locking detection.

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Main Results:

  • Successful detection of phase synchronization using only the driven oscillator's signal.
  • Distinction between soft and hard phase locking achieved.
  • Validation of methods in the context of von Kármán vortex flow meters.

Conclusions:

  • The presented methods enable robust phase synchronization detection in noisy, unidirectionally coupled oscillators.
  • These techniques are effective even with limited signal access.
  • The findings have practical implications for monitoring and controlling systems like vortex flow meters.