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Studying Cell Cycle-regulated Gene Expression by Two Complementary Cell Synchronization Protocols

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How to grow an oscillators' network with enhanced synchronization.

Jong-Min Park¹, Daekyung Lee², Heetae Kim²

¹Asia Pacific Center for Theoretical Physics, Pohang 37673, Republic of Korea.

Chaos (Woodbury, N.Y.)

|April 1, 2023

Summary

This summary is machine-generated.

We developed new methods for oscillator networks to improve synchronization as they grow. A link-wise order parameter strategy enhances synchronization more effectively than global methods.

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Area of Science:

Complex systems
Network science
Nonlinear dynamics

Background:

Synchronization is crucial for many oscillator systems.
Growing networks present unique challenges for maintaining synchronization.
Existing research on synchronization in dynamic networks is limited.

Purpose of the Study:

To investigate methods for enhancing synchronization in growing oscillator networks.
To develop effective network growth strategies for improved synchronizability.
To compare different order parameter approaches for synchronization in growing systems.

Main Methods:

Developing and evaluating novel network growth schemes.
Utilizing a link-wise order parameter for synchronization assessment.
Comparing the link-wise approach against the conventional global order parameter.
Verifying results with simple solvable models and numerical simulations.

Main Results:

A link-wise order parameter-based growth method significantly enhances network synchronization.
The proposed method outperforms conventional global order parameter strategies.
Optimal values derived from the suggested method yield superior synchronization enhancement.
The approach demonstrates effectiveness across a broad spectrum of coupling strengths.

Conclusions:

Effective network growth strategies are essential for maintaining synchronization in dynamic systems.
Link-wise order parameters offer a more effective metric for guiding synchronization in growing networks.
The proposed approach provides a robust framework for enhancing synchronization in evolving oscillator populations.