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Amplification of explosive width in complex networks
Pitambar Khanra1, Prosenjit Kundu1, Pinaki Pal1
1Department of Mathematics, National Institute of Technology, Durgapur 713209, India.
Chaos (Woodbury, N.Y.)
|April 3, 2020
Summary
We developed a new adaptive coupling strategy to achieve explosive synchronization in complex networks. This method enhances synchronization width and reduces the impact of phase frustration, ensuring robust network behavior.
Area of Science:
- Complex Networks
- Nonlinear Dynamics
- Statistical Physics
Background:
- Phase oscillators in complex networks often exhibit synchronization phenomena.
- Controlling synchronization, particularly explosive synchronization and hysteresis, is crucial for understanding network dynamics.
- Phase frustration can disrupt synchronized states in networks.
Purpose of the Study:
- To introduce an adaptive coupling strategy for inducing and enhancing hysteresis/explosive synchronization in phase oscillator networks.
- To investigate the strategy's ability to manage phase frustration and ensure robust synchronization.
- To develop a theoretical framework for predicting synchronization transitions.
Main Methods:
- Implementation of an adaptive coupling strategy within the Sakaguchi-Kuramoto model.
- Design of specific oscillator frequency sets to promote in-phase synchronization.
- Application of mean-field analysis to derive a semi-analytical formalism.
Main Results:
- The adaptive coupling strategy successfully induces explosive synchronization with significantly enhanced width.
- The strategy effectively diminishes the impact of phase frustration by creating an enhanced hysteresis loop.
- A semi-analytical formalism accurately predicts the backward transition of the synchronization order parameter.
Conclusions:
- The proposed adaptive coupling strategy offers a robust method for controlling explosive synchronization in complex networks.
- This approach mitigates negative effects of phase frustration, demonstrating broad applicability across network structures and frequency distributions.
- The developed formalism provides a valuable tool for analyzing and predicting synchronization dynamics in such systems.
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