Related Experiment Video
Updated: Jun 3, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
The least channel capacity for chaos synchronization.
Mogei Wang1, Xingyuan Wang, Zhenzhen Liu
1School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China. mogeiwang@gmail.com
Researchers found that channel capacity equal to the Kolmogorov-Sinai entropy (h(KS)) is sufficient for precise unidirectional synchronization. This study confirms that h(KS) is the minimum required capacity for reliable information transmission and synchronization.
Area of Science:
- Nonlinear dynamics
- Information theory
- Symbolic dynamics
Background:
- Unidirectional synchronization requires a channel capacity exceeding the drive system's Kolmogorov-Sinai entropy (h(KS)).
- Distinguishing essential information for synchronization is crucial for determining minimal capacity requirements.
Purpose of the Study:
- To determine the least channel capacity necessary for achieving high-precision unidirectional synchronization.
- To differentiate information critical for identifying drive words and achieving synchronization.
Main Methods:
- Symbolic dynamics for analyzing system information flow.
- Automaton reset sequences to identify and quantify necessary synchronization information.
Main Results:
- The study identifies the specific information required for synchronization.
- It is demonstrated that the Kolmogorov-Sinai entropy (h(KS)) represents the minimal sufficient channel capacity.
Conclusions:
- The least channel capacity sufficient for arbitrarily high-precision unidirectional synchronization is precisely the Kolmogorov-Sinai entropy (h(KS)).
- Symbolic dynamics and automaton reset sequences effectively distinguish and quantify information essential for synchronization.
Related Concept Videos
Uniform Depth Channel Flow
Buffers: Buffer Capacity
In the graph, pH is plotted as a function of the number of moles of base (Cb) added to a weak acid...
Multimachine Stability
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
Time and frequency -Domain Interpretation of Phase-lag Control
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Propagation Speed of Electromagnetic Waves
Maximum Power Transfer
By substituting the entire circuit with...

