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Coherent Dynamics Enhanced by Uncorrelated Noise
Zachary G Nicolaou1, Michael Sebek2,3, István Z Kiss2
1Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA.
Physical Review Letters
|September 11, 2020
Summary
Uncorrelated noise surprisingly enhances synchronization in coupled oscillators. This effect, demonstrated theoretically and experimentally, can be stronger than common noise, impacting natural and engineered systems.
Area of Science:
- Complex systems
- Network dynamics
- Nonlinear dynamics
Background:
- Synchronization is a key phenomenon in many natural and engineered systems.
- Previous studies indicated common noise can aid synchronization in oscillators.
- Uncorrelated noise in spatially distributed networks, like the circadian system, has been less understood.
Purpose of the Study:
- To investigate the effect of uncorrelated noise on synchronization in coupled oscillators.
- To compare the impact of uncorrelated noise versus common noise on synchronization.
- To explore the potential applications of noise-induced synchronization.
Main Methods:
- Theoretical analysis of phase and phase-amplitude oscillators under additive and multiplicative noise.
- Experimental validation using coupled electrochemical oscillators.
- Mathematical modeling of network dynamics with varying noise types.
Main Results:
- Uncorrelated noise can significantly enhance synchronization in coupled oscillators.
- Uncorrelated noise can be more effective than common noise in promoting synchronization.
- The findings hold for both additive and multiplicative noise scenarios.
Conclusions:
- Uncorrelated noise can be a beneficial factor for coherence in natural systems, contrary to expectations.
- Harnessing uncorrelated noise offers new strategies for improving synchronization in engineered systems.
- The study provides a novel perspective on the role of noise in complex networks.
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