Estamos realizando la búsqueda. Por favor, espere...
Abstract: Globally coupled maps (GCMs) are prototypical examples of high-dimensional dynamical systems. Interestingly, GCMs formed by an ensemble of weakly coupled identical chaotic units generically exhibit a hyperchaotic ?turbulent? state. A decade ago, Takeuchi et al. [Phys. Rev. Lett. 107, 124101 (2011)] theorized that in turbulent GCMs the largest Lyapunov exponent (LE), ?(N), depends logarithmically on the system size N: ????(N)?c/lnN. We revisit the problem and analyze, by means of analytical and numerical techniques, turbulent GCMs with positive multipliers to show that there is a remarkable lack of universality, in conflict with the previous prediction. In fact, we find a power-law scaling ????(N)?c/N?, where ? is a parameter-dependent exponent in the range 0?1. However, for strongly dissimilar multipliers, the LE varies with N in a slower fashion, which is here numerically explored. Although our analysis is only valid for GCMs with positive multipliers, it suggests that a universal convergence law for the LE cannot be taken for granted in general GCMs.
Fuente: Physical Review E. Vol. 104, 3-September 2021, 034216
Editorial: American Physical Society
Año de publicación: 2021
Nº de páginas: 12
Tipo de publicación: Artículo de Revista
Proyecto español: FIS2016-74957-P
Url de la publicación: https://doi.org/10.1103/PhysRevE.104.034216
Consultar en UCrea Leer publicación
DAVID VELASCO GONZALEZ
JUAN MANUEL LOPEZ MARTIN
DIEGO SANTIAGO PAZO BUENO