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Heterogeneidad mejora la superviviencia dinámica de osciladores acoplados
Zhuqin Guo1, Zhongkui Sun1, Nannan Zhao2
1School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China.
Chaos (Woodbury, N.Y.)
|January 22, 2026
Resumen
Este estudio introduce la superviviencia dinámica para osciladores acoplados, descubriendo que una mayor diversidad de parámetros mejora la robustez del sistema contra ataques. Esta investigación ofrece un nuevo marco para diseñar redes de osciladores resilientes.
Área de la Ciencia:
- Sistemas Complejos
- Ciencia de Redes
- Dinámica No Lineal
Sus antecedentes:
- La superviviencia es crucial para la seguridad de la red y la integridad funcional.
- Los sistemas de osciladores acoplados son fundamentales en diversos dominios científicos y de ingeniería.
- Comprender la resiliencia del sistema bajo perturbaciones externas es un desafío clave.
Objetivo del estudio:
- Introducir y definir la superviviencia dinámica para sistemas de osciladores acoplados.
- Desarrollar un marco analítico general y métricas cuantitativas para evaluar la superviviencia dinámica.
- Investigar el impacto de la heterogeneidad de parámetros en la superviviencia contra ataques.
Principales métodos:
- Análisis teórico de osciladores acoplados heterogéneos bajo diferentes estructuras de red (all-to-all, redes complejas).
- Derivación de expresiones de forma cerrada para el costo crítico de ataque.
- Simulaciones numéricas para validar las predicciones teóricas y el marco.
Principales resultados:
- Se estableció un nuevo marco analítico para la superviviencia dinámica en redes de osciladores.
- Se derivaron expresiones críticas del costo de ataque para tareas de sincronización.
- Se demostró que una mayor heterogeneidad de parámetros mejora significativamente la superviviencia del sistema.
Conclusiones:
- La diversidad de parámetros, no la homogeneidad, es clave para diseñar redes de osciladores robustas.
- Los hallazgos son generales en diversas topologías de red (aleatorias, libres de escala).
- Este trabajo proporciona una nueva perspectiva sobre la ingeniería de sistemas complejos resilientes.
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