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Interacting Oscillators with Fluctuating Coupling: Mode Mixing without Cross-Correlations.

Nikita P Kryuchkov1, Vladimir N Mantsevich1, Stanislav O Yurchenko1

  • 1Bauman Moscow State Technical University, 2nd Baumanskaya street 5, 105005 Moscow, Russia.

Physical Review Letters
|July 29, 2022
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Summary
This summary is machine-generated.

This study reveals a new mechanism of mode mixing in coupled oscillators, even without direct correlations. This finding is crucial for understanding spectral properties in diverse systems.

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Area of Science:

  • Nonlinear dynamics
  • Statistical mechanics
  • Complex systems analysis

Background:

  • Coupled oscillators are fundamental models in nonlinear dynamics.
  • Understanding spectral properties is key in various scientific fields.

Purpose of the Study:

  • To investigate the spectral properties of two coupled harmonic oscillators with stochastic fluctuations.
  • To identify novel mechanisms of mode mixing in dynamical systems.

Main Methods:

  • Numerical simulations of coupled harmonic oscillators.
  • Analytical treatment of stochastic fluctuating forces.
  • Spectral analysis of oscillation patterns.

Main Results:

  • Observed mode mixing in oscillation spectra even with vanishing average coupling.
  • Demonstrated spectral mixing without cross-correlations between oscillators.
  • Identified a new mechanism for mode mixing in stochastically uncorrelated systems.

Conclusions:

  • The study uncovers a novel mechanism of mode mixing applicable to stochastically uncorrelated systems.
  • This finding has implications for analyzing spectral data in diverse fields, from condensed matter physics to biological systems.