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Transiciones inducidas por el ruido en mapas aleatorios de Pomeau-Manneville
Tetsu Endo1, Yuzuru Sato2,3, Hiroki Takahasi4
1Department of Physics and Astronomy, Tokyo University of Science, Noda, Chiba 278-8510, Japan.
Chaos (Woodbury, N.Y.)
|September 4, 2025
Resumen
La introducción de la aleatoriedad en los mapas de Pomeau-Manneville con ruido dicotómico revela dos transiciones. Los cambios inducidos por el ruido controlan la convergencia y la sincronización de la órbita, ofreciendo información sobre sistemas caóticos.
Área de la Ciencia:
- Dinámica no lineal
- Física estadística
- Teoría del Caos
Sus antecedentes:
- Los mapas de Pomeau-Manneville (PM) muestran el caos intermitente.
- Comprender los efectos del ruido en los sistemas dinámicos es crucial.
Objetivo del estudio:
- Investigar el impacto del ruido multiplicativo dicotómico en los mapas de partículas.
- Caracterizar las transiciones inducidas por el ruido y los comportamientos dinámicos resultantes.
Principales métodos:
- Incorporación del ruido multiplicativo dicotómico en los mapas de partículas.
- Analizó la separación de las órbitas cercanas.
- Controlado la probabilidad de rechazar la selección del mapa.
Principales resultados:
- Identificó dos transiciones inducidas por el ruido basadas en la probabilidad del mapa de repulsión.
- Convergencia de órbita observada a un punto fijo indiferente para probabilidades < 1/2.
- Encontró sincronización débil y transiciones al caos / caos débil para probabilidades > 1/2.
- Demostró un exponente de ley de potencia universal de 3/2 en la primera transición.
Conclusiones:
- El ruido dicotómico introduce dinámicas ricas, incluida la sincronización, en sistemas caóticos.
- Las transiciones inducidas por el ruido alteran el comportamiento a largo plazo de los sistemas intermitentes.
- Los resultados ofrecen información sobre los efectos del ruido en sistemas dinámicos caóticos y débilmente caóticos.
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