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Network growth under the constraint of synchronization stability.
1Institute for Fusion Theory and Simulation, Zhejiang University, Hangzhou 310027, China.
Summary
Complex networks grow dynamically, influenced by synchronization stability. This selective growth leads to scale-free structures, with node acceptance probabilities following a power-law distribution.
Area of Science:
- Complex networks
- Network science
- Dynamical systems
Background:
- Realistic networks are known to grow over time.
- The dynamical aspects of network growth processes require further exploration.
Purpose of the Study:
- Investigate how complex network growth is influenced by collective dynamics.
- Explore the reciprocal influence of network growth on collective dynamics, incorporating synchronization stability.
Main Methods:
- Incorporating synchronization stability into conventional network growth models.
- Utilizing eigenvalue analysis to study dynamical properties of network growth.
- Verifying findings through direct simulations of coupled chaotic oscillators.
Main Results:
- Network growth, constrained by synchronization stability, is selective and dynamic.
- Node acceptance probability in growing networks exhibits significant variation, approximating a power-law distribution.
- Dynamical growth consistently results in scale-free network structures, irrespective of link attachment methods (preferential or random).
Conclusions:
- Network growth can be a highly dynamical process, driven by collective network dynamics.
- Synchronization stability is a key factor shaping the selective and scale-free nature of growing complex networks.
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