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Synchronization of networked chaotic oscillators under external periodic driving
Wenchao Yang1, Weijie Lin2,3, Xingang Wang2
1Institute of Computational Physics and Complex Systems and Key Laboratory for Magnetism and Magnetic Materials of MOE, Lanzhou University, Lanzhou, Gansu 730000, China.
Summary
External driving significantly alters complex network synchronization. Adjusting driving frequency or phase can control network synchronizability, offering new methods for managing collective behaviors in networked systems.
Area of Science:
- Complex systems science
- Network dynamics
- Chaos theory
Background:
- Understanding collective behaviors in complex systems is crucial.
- Networked chaotic oscillators are models for studying synchronization.
- External perturbations can influence system dynamics.
Purpose of the Study:
- To investigate how external periodic driving affects synchronization in complex networks.
- To explore the impact of driving properties on network synchronizability.
- To provide insights into controlling collective behaviors through external influences.
Main Methods:
- Modeling networked chaotic oscillators.
- Analyzing synchronization behavior under external periodic driving.
- Employing the master stability function for mechanism analysis.
Main Results:
- External driving significantly modifies network synchronizability.
- Slight changes in driving frequency or phase lag have substantial effects.
- The phenomenon is observable across different network models.
Conclusions:
- External perturbations play a critical role in the collective behaviors of complex networks.
- Controlling network synchronization is achievable by tuning external driving parameters.
- This research offers a novel approach for network synchronization control.
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