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Optimal time-varying coupling function can enhance synchronization in complex networks.
Zahra Dayani1, Fatemeh Parastesh1, Fahimeh Nazarimehr1
1Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran 159163-4311, Iran.
This study introduces a novel time-varying coupling function to improve synchronization in complex networks. This method enhances synchronization speed, robustness, and reduces the critical coupling parameter for better network performance.
Area of Science:
- Complex Networks
- Nonlinear Dynamics
- Systems Engineering
Background:
- Synchronization in complex networks is crucial for various applications.
- Existing diffusive coupling methods have limitations in achieving rapid and robust synchronization.
- Master stability function (MSF) is a key analytical tool for synchronization stability.
Purpose of the Study:
- To propose a novel time-varying coupling function for enhanced synchronization in complex networks.
- To analyze the stability of synchronization using the master stability approach.
- To demonstrate the effectiveness of the proposed method on chaotic systems.
Main Methods:
- Development of a time-varying coupling function by optimizing local Lyapunov exponents.
- Application of the master stability function to analyze synchronization stability.
- Testing the proposed coupling on networks of Rössler, Chen, and Chua chaotic systems.
Main Results:
- The proposed time-varying coupling function significantly enhances synchronization.
- A decrease in the critical coupling parameter was observed, indicating improved synchronization efficiency.
- Faster synchronization achievement and increased robustness were demonstrated.
Conclusions:
- The novel time-varying coupling function offers a superior approach for achieving enhanced synchronization in complex networks.
- The method is effective across different types of chaotic oscillators.
- This work provides a new strategy for designing and controlling synchronized complex systems.
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