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Sound waves can be modeled either as longitudinal waves, wherein the molecules of the medium oscillate around an equilibrium position, or as pressure waves. When two identical waves from the same source superimpose on each other, the combination of two crests or two troughs results in amplitude reinforcement known as constructive interference. If two identical waves, that are initially in phase, become out of phase because of different path lengths, the combination of crests with troughs...
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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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When does noise destroy or enhance synchronous behavior in two mutually coupled light-controlled oscillators?

G M Ramírez Ávila1, J Kurths, J L Guisset

  • 1Institut für Physik, Humboldt-Universität zu Berlin, Robert-Koch-Platz 4, 10115 Berlin, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2011
PubMed
Summary

White Gaussian noise can disrupt or improve synchronization in coupled light-controlled oscillators (LCOs). Enhanced synchronization occurs only when LCOs experience different noise variances, as visualized by Arnold tongues.

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Area of Science:

  • Nonlinear dynamics
  • Complex systems
  • Optical engineering

Background:

  • Coupled oscillators are fundamental in various scientific fields.
  • Synchronization phenomena in coupled systems are extensively studied.
  • The role of noise in coupled systems can be complex, leading to both destructive and constructive effects.

Purpose of the Study:

  • To investigate the influence of White Gaussian noise on the synchronization of two mutually coupled light-controlled oscillators (LCOs).
  • To determine the conditions under which noise can either destroy or enhance synchronization.
  • To elucidate the mechanisms behind noise-induced synchronization effects.

Main Methods:

  • Analysis of a system of two mutually coupled light-controlled oscillators (LCOs).
  • Introduction of White Gaussian noise with varying intensity and variances to each LCO.
  • Construction of Arnold tongue-like structures to visualize and explain the observed synchronization phenomena.

Main Results:

  • Noise can either destroy or enhance synchronization in the coupled LCO system depending on noise intensity.
  • Noise-enhanced synchronization is observed under specific conditions.
  • A key finding is that noise-enhanced synchronization is only possible when the variances of the noise acting on each LCO are different.

Conclusions:

  • White Gaussian noise has a dual role in the synchronization of coupled LCOs, capable of both disruption and enhancement.
  • The asymmetry in noise variance between coupled LCOs is a critical factor for achieving noise-enhanced synchronization.
  • Arnold tongue structures provide a useful framework for understanding noise-induced synchronization dynamics.