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In coupled oscillators, increasing noise in one oscillator can unexpectedly improve the coherence of the other. This counterintuitive phenomenon arises from the unique statistical properties of the noise source.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Understanding coupled oscillator dynamics is crucial in various scientific fields.
  • Heterogeneous systems with unequal noise levels present unique challenges.
  • The influence of noise statistics on system coherence is not fully understood.

Purpose of the Study:

  • To analytically investigate the dynamics of two directionally coupled oscillators with differing noise intensities.
  • To explore the nonmonotonic relationship between the noise of one oscillator and the coherence of another.
  • To verify the robustness of observed effects using computational models.

Main Methods:

  • Analytical derivation of phase diffusion coefficients for both oscillators.
  • Analysis of heterogeneous setups with varying frequencies, coupling, and noise intensities.
  • Numerical simulations using coupled FitzHugh-Nagumo models.

Main Results:

  • The phase coherence of the second oscillator exhibits nonmonotonic dependence on the noise intensity of the first oscillator.
  • Increased noise in the first oscillator can lead to enhanced coherence in the second oscillator.
  • The observed effect is attributed to the non-Gaussian, bounded, finite-bandwidth noise statistics from the first oscillator.

Conclusions:

  • Noise characteristics, not just intensity, significantly impact coupled oscillator coherence.
  • A noisier oscillator can paradoxically improve the coherence of a coupled system.
  • The findings offer new insights into noise-induced coherence in complex systems.