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Las interacciones de orden superior mejoran la resonancia estocástica en osciladores acoplados
Hongye Wang1, Xueqi Li1, Youming Lei1,2,3
1Northwestern Polytechnical University, School of Mathematics and Statistics, Xi'an 710072, China.
Physical review. E
|February 20, 2026
Resumen
Las interacciones de orden superior aumentan significativamente la resonancia estocástica (SR) y la sincronización en las redes de osciladores. A diferencia del acoplamiento en pares, estos efectos de orden superior proporcionan una mejora sostenida, incluso a fuertes fuerzas de acoplamiento.
Área de la Ciencia:
- La dinámica no lineal es dinámica no lineal.
- Sistemas complejos de sistemas complejos.
- Ciencia de la red Ciencia de la red.
Sus antecedentes:
- Los estudios de resonancia estocástica (SR) se centran tradicionalmente en las interacciones en pares.
- A menudo se pasa por alto el impacto de las interacciones de orden superior en el comportamiento colectivo y la SR.
- La comprensión de estas complejas interacciones es crucial para la propagación de la señal en las redes.
Objetivo del estudio:
- Investigar la resonancia estocástica en osciladores biestables acoplados con interacciones de orden superior.
- Compare los efectos del acoplamiento de orden superior frente al acoplamiento en pares en SR y sincronización.
- Explorar la influencia de la fuerza de acoplamiento, el radio y el tamaño de la red en SR.
Principales métodos:
- Simuló una matriz acoplada de osciladores bistables.
- Términos de interacción de orden superior incorporados en el acoplamiento.
- Se analizaron métricas de SR temporal y de sincronización espacial.
- Varias fuerzas de acoplamiento, radios y tamaños de red.
Principales resultados:
- Las interacciones de orden superior mejoran tanto la SR temporal como la sincronización espacial.
- A diferencia del acoplamiento en pares, las interacciones de orden superior ofrecen una mejora sostenida del SR incluso en un acoplamiento fuerte.
- Los componentes no lineales en el acoplamiento de orden superior impiden una sincronización idéntica a grandes intensidades.
- Los radios de acoplamiento más grandes generalmente mejoran el SR.
- Un tamaño de red moderado maximiza la mejora de SR (efecto de tamaño finito).
Conclusiones:
- Las interacciones de orden superior son críticas para una SR robusta y la sincronización en redes complejas.
- La naturaleza no lineal del acoplamiento de orden superior proporciona ventajas únicas para el procesamiento de señales.
- Los hallazgos sugieren aplicaciones potenciales en la transmisión de señales débiles a través de redes de orden superior.
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