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Related Concept Videos

Network Function of a Circuit01:25

Network Function of a Circuit

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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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Sequence Networks of Rotating Machines01:24

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A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
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In circuit analysis, situations often arise where resistors are neither in series nor parallel configurations. To tackle such scenarios, three-terminal equivalent networks like the wye (Y) (Figure 1 (a)) or tee (T) and delta (Δ) (Figure 1 (b)) or pi (π) networks come into play. These networks offer versatile solutions and are frequently encountered in various applications, including three-phase electrical systems, electrical filters, and matching networks.
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Neural circuits and neuronal pools are two of the main structures found in the nervous system. Neural circuits are networks of neurons that work together to carry out a specific task or process. They consist of interconnected neurons and glial cells, which provide structural and metabolic support.
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Thévenin's theorem plays a pivotal role in electrical circuit analysis, offering a solution to the challenges posed by variable loads within a circuit. In practical applications, it is common to encounter circuits where certain elements remain fixed while others fluctuate, often referred to as the "load." A typical household electrical outlet serves as a prime example of a variable load, as it can be connected to a variety of appliances, each with its own unique electrical...
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An electrical network is a system composed of interconnected elements, such as resistors, capacitors, inductors, and voltage or current sources. Unlike a circuit, an electrical network does not necessarily form a closed path. In other words, while all circuits can be considered networks due to their interconnected nature, not every network qualifies as a circuit.
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Turing pattern induced by the directed ER network and delay.

Qianqian Zheng1, Jianwei Shen2, Lingli Zhou3

  • 1School of Science, Xuchang University; Henan Joint International Research Laboratory of High Performance Computation for Complex Systems, Xuchang 461000, China.

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Summary
This summary is machine-generated.

This study explores epidemic spread in directed social networks, revealing how network direction and delays influence disease dynamics and periodic outbreaks like COVID-19.

Keywords:
SIRdelaynetworkpattern formationturing instability

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Area of Science:

  • Epidemiology
  • Network Science
  • Mathematical Biology

Background:

  • Infectious diseases spread asymmetrically due to urban development and varied prevention strategies.
  • Understanding epidemic spread in directed networks remains a challenge.

Purpose of the Study:

  • Investigate the impact of directed networks and time delays on epidemic dynamics.
  • Explain periodic outbreaks and the role of quarantine policies.

Main Methods:

  • Analysis of Turing instability in directed networks.
  • Hopf bifurcation analysis for periodic outbreak mechanisms.
  • Introduction of a discrepancy ratio for imported vs. exported cases.

Main Results:

  • Directed networks can lead to epidemic outbreaks, unlike undirected networks.
  • Hopf bifurcation explains periodic outbreaks, consistent with COVID-19 patterns.
  • The discrepancy ratio highlights quarantine policy effectiveness.

Conclusions:

  • Directed network structure and delays are crucial for epidemic spread modeling.
  • Mathematical models can elucidate periodic outbreaks and inform public health interventions.
  • Network asymmetry and quarantine strategies significantly impact disease transmission.