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Related Experiment Video

Updated: May 20, 2026

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

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

Published on: June 6, 2017

Partial synchronization in stochastic dynamical networks with switching communication channels.

Chi Huang¹, Daniel W C Ho, Jianquan Lu

¹Department of Mathematics, City University of Hong Kong, Hong Kong, China.

Chaos (Woodbury, N.Y.)

|July 5, 2012

Summary

This study addresses partial synchronization in stochastic dynamical networks (SDNs) with communication constraints. A novel method ensures synchronization is achievable even when only partial node states are transmitted under switching conditions.

Related Experiment Videos

Last Updated: May 20, 2026

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

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

Published on: June 6, 2017

Area of Science:

Control Theory
Network Science
Stochastic Systems

Background:

Stochastic Dynamical Networks (SDNs) are complex systems with applications in various fields.
Partial synchronization is a critical aspect of network behavior, but challenging to achieve under constraints.
Existing models often assume complete state information transmission, which is unrealistic.

Purpose of the Study:

To investigate the partial synchronization problem in SDNs with communication constraints.
To develop a theoretical framework for analyzing synchronization when only partial node states are available.
To account for dynamic changes in communication links.

Main Methods:

Introduction of channel matrices to model communication constraints.
Utilizing a Markov process to govern the switching of communication modes.
Employment of a regrouping method for deriving synchronization conditions.

Main Results:

Derived conditions guarantee partial synchronization for SDNs under switching communication constraints.
Demonstrated that synchronization is achievable despite limited state information.
Quantified the influence of communication constraints on synchronization outcomes.

Conclusions:

The proposed method effectively addresses partial synchronization in SDNs with communication constraints.
The findings provide valuable insights for designing and controlling complex networks with limited communication.
Numerical examples validate the theoretical results and highlight the impact of communication constraints.