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Published on: September 21, 2017
Synchronization failure caused by interplay between noise and network heterogeneity.
1Research Institute for Electronic Science, Hokkaido University, Sapporo 060-0811, Japan.
Synchronization in complex networks requires intermediate coupling. Too weak or too strong coupling, especially with noise and network heterogeneity, can lead to synchronization failure due to phase slip.
Area of Science:
- Complex Systems
- Network Science
- Nonlinear Dynamics
Background:
- Synchronization is crucial in many natural and engineered systems.
- Noisy phase oscillators are common models for collective behavior.
- Network heterogeneity can significantly impact system dynamics.
Purpose of the Study:
- To investigate the effect of coupling strength on synchronization in noisy complex networks.
- To identify the conditions leading to synchronization failure.
- To understand the role of network heterogeneity and noise.
Main Methods:
- Analysis of synchronization in networks of noisy phase oscillators.
- Mathematical modeling of oscillator dynamics.
- Examination of phase slip phenomena.
Main Results:
- Synchronization failure occurs at both weak and strong coupling strengths.
- An optimal intermediate coupling range for synchronization exists.
- Network heterogeneity narrows this optimal range and promotes phase slip.
Conclusions:
- Synchronization in noisy complex networks is sensitive to coupling strength.
- Phase slip is a key mechanism for desynchronization under strong coupling and noise.
- Heterogeneity exacerbates synchronization issues by creating varying effective coupling strengths.
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