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In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
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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 the study of the mechanics of materials, analyzing the behavior of prismatic members under opposing couples is crucial for understanding internal stress distributions, which are essential for structural design. When subjected to couples, a prismatic member experiences internal forces that maintain equilibrium. A couple, characterized by two equal and opposite forces, creates a moment but no resultant force. The internal forces at any section cut of the member must balance these external...
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Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
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Updated: Sep 10, 2025

Divergence of Root Microbiota in Different Habitats based on Weighted Correlation Networks
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Detección comunitaria para las redes dirigidas revisadas utilizando la bimodularidad

Alexandre Cionca1,2, Chun Hei Michael Chan1,2, Dimitri Van De Ville1,2

  • 1Neuro-X Institute, École Polytechnique Fédérale de Lausanne, Geneva 1202, Switzerland.

Proceedings of the National Academy of Sciences of the United States of America
|August 25, 2025
PubMed
Resumen
Este resumen es generado por máquina.

Este estudio introduce la bimodularidad, un nuevo método para detectar comunidades dirigidas en redes. Identifica con éxito mapas comunitarios dirigidos y revela estructuras de red, como bucles de alimentación en C. elegans.

Palabras clave:
estructura de la comunidadgráficos dirigidosModularidadagrupación espectral

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Área de la Ciencia:

  • Ciencia de las redes
  • Teoría de los gráficos
  • Biología computacional

Sus antecedentes:

  • La estructura comunitaria es fundamental en el análisis de la red.
  • Los métodos existentes para la detección de la comunidad son limitados para las redes dirigidas.
  • La información de borde dirigido es crucial para comprender la organización de la red.

Objetivo del estudio:

  • Desarrollar un nuevo marco para la detección de comunidades dirigidas y sus mapas.
  • Abordar las limitaciones de los métodos actuales en el manejo de datos de red dirigidos.
  • Proporcionar un enfoque sólido para el análisis de las estructuras comunitarias dirigidas.

Principales métodos:

  • Definición de las comunidades dirigidas como un mapeo entre las comunidades emisora y receptora (bimodularidad).
  • Optimización de la bimodularidad mediante relajación convexa y descomposición del valor singular.
  • Desarrollo de un enfoque de agrupación basado en el borde para la detección dirigida de la comunidad.

Principales resultados:

  • El marco propuesto identifica con éxito las comunidades dirigidas y sus mapas.
  • La aplicación a la red neuronal de Caenorhabditis elegans reveló bucles de transmisión significativos.
  • Ha demostrado su viabilidad tanto en modelos sintéticos como en redes biológicas del mundo real.

Conclusiones:

  • El marco de bimodularidad ofrece una solución novedosa para la detección de la comunidad en redes dirigidas.
  • Este enfoque mejora la comprensión de las estructuras de red dirigidas y sus implicaciones funcionales.
  • Establece las bases para futuras investigaciones en el análisis de la comunidad de red dirigida.