Artículo
Noise-driven topological changes in chaotic dynamics
Fecha de publicación:
10/2021
Editorial:
American Institute of Physics
Revista:
Chaos
ISSN:
1054-1500
e-ISSN:
1089-7682
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Noise modifies the behavior of chaotic systems in both quantitative and qualitative ways. To study these modifications, the present work compares the topological structure of the deterministic Lorenz (1963) attractor with its stochastically perturbed version. The deterministic attractor is well known to be “strange” but it is frozen in time. When driven by multiplicative noise, the Lorenz model’s random attractor (LORA) evolves in time. Algebraic topology sheds light on the most striking effects involved in such an evolution. In order to examine the topological structure of the snapshots that approximate LORA, we use branched manifold analysis through homologies—a technique originally introduced to characterize the topological structure of deterministically chaotic flows—which is being extended herein to nonlinear noise-driven systems. The analysis is performed for a fixed realization of the driving noise at different time instants in time. The results suggest that LORA’s evolution includes sharp transitions that appear as topological tipping points.
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Articulos(CIMA)
Articulos de CENTRO DE INVESTIGACIONES DEL MAR Y LA ATMOSFERA
Articulos de CENTRO DE INVESTIGACIONES DEL MAR Y LA ATMOSFERA
Citación
Charó, Gisela Daniela; Chekroun, Mickaël D.; Sciamarella, Denisse; Ghil, Michael; Noise-driven topological changes in chaotic dynamics; American Institute of Physics; Chaos; 31; 10; 10-2021; 1-12
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