This article shows numerically that the variance of the stretching exponents for two-dimensional chaotic area-preserving systems grows asymptotically as a linear function of time, although an intermediate anomalous power-law scaling may occur. This implies that the autocorrelation function of the stretching exponents is integrable. This result is a generic property of 2-d mixing systems generated by diffeomorphisms. The physical significance of the non-persistent anomalous behavior in the decay of fluctuations is briefly addressed. © 1998 Elsevier Science B.V. All rights reserved.
Long-range correlation properties of area-preserving chaotic systems / Adrover, Alessandra; Giona, Massimiliano. - In: PHYSICA. A. - ISSN 0378-4371. - 253:1-4(1998), pp. 143-153. [10.1016/s0378-4371(97)00667-5]
Long-range correlation properties of area-preserving chaotic systems
ADROVER, Alessandra;GIONA, Massimiliano
1998
Abstract
This article shows numerically that the variance of the stretching exponents for two-dimensional chaotic area-preserving systems grows asymptotically as a linear function of time, although an intermediate anomalous power-law scaling may occur. This implies that the autocorrelation function of the stretching exponents is integrable. This result is a generic property of 2-d mixing systems generated by diffeomorphisms. The physical significance of the non-persistent anomalous behavior in the decay of fluctuations is briefly addressed. © 1998 Elsevier Science B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.