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Related Concept Videos

Interference: Path Lengths01:10

Interference: Path Lengths

Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
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Lossless Lines01:23

Lossless Lines

In electrical engineering, a lossless transmission line is characterized by a purely imaginary propagation constant and a resistive characteristic impedance. The ABCD parameters, which describe the relationship between the input and output voltages and currents, indicate an equivalent π circuit with an imaginary series impedance and a shunt admittance. This results in a transmission line that, when the product of the phase constant (beta) and the length of the line is less than pi, exhibits...
Linear time-invariant Systems01:23

Linear time-invariant Systems

A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
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Network Function of a Circuit01:25

Network Function of a Circuit

Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
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Transmission Line Design Considerations

Aluminum has become the material of choice for overhead transmission lines, surpassing copper due to its abundance and cost-effectiveness. The most prevalent type is the aluminum conductor, steel-reinforced (ACSR), which combines aluminum strands around a steel core. Other variants include all-aluminum conductors (AAC), all-aluminum alloy conductors (AAAC), aluminum conductor alloy-reinforced (ACAR), and aluminum-clad steel conductors. Advanced designs, such as aluminum conductors with steel...

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Related Experiment Video

Updated: Jun 22, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Queue-length synchronization in communication networks.

Satyam Mukherjee1, Neelima Gupte

  • 1Department of Physics, Indian Institute of Technology Madras, Chennai 600036, India. mukherjee@physics.iitm.ac.in

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 13, 2009
PubMed
Summary
This summary is machine-generated.

Network traffic congestion leads to synchronized queue lengths at high-betweenness centrality hubs. Synchronization is lost during decongestion, revealing a master-slave dynamic, also observed in real internet traffic.

Related Experiment Videos

Last Updated: Jun 22, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Area of Science:

  • Network Science
  • Complex Systems
  • Traffic Engineering

Background:

  • Network traffic dynamics are crucial for understanding communication systems.
  • Hubs with high betweenness centrality (CBC) significantly influence network flow.
  • Congestion and synchronization phenomena in networks remain areas of active research.

Purpose of the Study:

  • To investigate synchronization patterns in network traffic on a 2D communication network.
  • To analyze the role of high CBC hubs in traffic congestion and synchronization.
  • To explore the relationship between congestion, decongestion, and synchronization dynamics.

Main Methods:

  • Simulated network traffic on a 2D grid with local clustering and geographic separations.
  • Modeling traffic flow through nodes and hubs, focusing on the top five CBC hubs.
  • Analysis of queue lengths and synchronization (complete and phase) under varying traffic densities.
  • Utilized Waxman random topology generator and real internet traffic data for validation.

Main Results:

  • Queue lengths synchronize among high CBC hubs during congested traffic phases.
  • Both complete and phase synchronization are observed between hub pairs.
  • Synchronization is lost during decongestion, accompanied by a cascading master-slave dynamic.
  • Similar synchronization behaviors were observed across different network topologies and traffic densities.

Conclusions:

  • High CBC hubs play a critical role in traffic synchronization during congestion.
  • The study demonstrates a clear link between network congestion, hub centrality, and synchronization phenomena.
  • Phase synchronization in network traffic is a verifiable phenomenon, even in real-world internet data.