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Area of Science:

  • Nonlinear dynamics
  • Complex systems
  • Stochastic processes

Background:

  • Noisy oscillators with delayed feedback exhibit multiple stable periodic regimes in deterministic settings.
  • Stochastic perturbations can induce transitions between these regimes.

Purpose of the Study:

  • To investigate the impact of two distinct noise types on a noisy oscillator with pulse delayed feedback.
  • To analyze the differing scaling properties and robustness of the system under phase noise versus delay fluctuations.

Main Methods:

  • Theoretical analysis of a noisy oscillator with pulse delayed feedback.
  • Electronic experimental implementation of the system.
  • Linearized model analysis to explain observed scaling properties.

Main Results:

  • Both phase noise and stochastic delay fluctuations cause the system to transition between deterministic regimes.
  • Robustness to phase noise enhances with increasing coupling strength.
  • Lifetimes of stable regimes decrease exponentially with coupling strength under stochastic delay variations.

Conclusions:

  • The system's resilience to stochastic perturbations is highly dependent on the specific nature of the noise.
  • Understanding perturbation type is crucial for predicting the behavior and stability of complex systems.