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Published on: May 20, 2020
Effects of dynamical and structural modifications on synchronization
Lijia Chen1, Peng Ji1, David Waxman1
1Institute of Science and Technology for Brain-Inspired Intelligence, Fudan University, Shanghai 200433, China.
This study explores how external factors affect synchronized systems. We found conditions to maximize stability in coupled oscillators by analyzing frequency and network changes.
Area of Science:
- Complex systems
- Network science
- Nonlinear dynamics
Background:
- Synchronization is a key phenomenon in coupled oscillators, influenced by intrinsic frequencies, network topology, and perturbations.
- Understanding system response to perturbations is crucial for controlling collective behavior.
Purpose of the Study:
- To investigate the response of strongly coupled oscillator systems to perturbations in natural frequencies and network structure.
- To identify conditions that maximize system stability under localized temporal perturbations.
Main Methods:
- Utilized two performance measures for phases and frequencies.
- Employed spectral perturbation analysis on the weighted Laplacian matrix.
- Conducted simulations to validate theoretical findings.
Main Results:
- Presented a sufficient condition for maximizing system stability under specific perturbation types.
- Derived analytical results for the impact of structural perturbations on system response.
- Demonstrated the effectiveness of the proposed methods through simulations.
Conclusions:
- The study provides insights into controlling synchronization stability in complex networks.
- Findings are applicable to understanding and manipulating collective behavior in various dynamical systems.
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