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Mode Hopping in Oscillating Systems with Stochastic Delays.
Vladimir Klinshov1, Dmitry Shchapin1, Otti D'Huys2
1Institute of Applied Physics of the Russian Academy of Sciences, 46 Ul'yanov Street, 603950, Nizhny Novgorod, Russia.
Physical Review Letters
|August 4, 2020
Summary
This study on noisy oscillators with delayed feedback reveals that robustness to phase noise increases with coupling strength. However, stochastic delay fluctuations drastically reduce system stability, highlighting the critical impact of perturbation type on system resilience.
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.
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