Long-range correlation properties of area-preserving chaotic systems

Alessandra Adrover and Massimiliano Giona

Physica A: Statistical Mechanics and its Applications, 1998, vol. 253, issue 1, 143-153

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.

Keywords: Two-dimensional area-preserving maps; Chaotic Hamiltonian systems; Long-range correlations (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:253:y:1998:i:1:p:143-153

DOI: 10.1016/S0378-4371(97)00667-5

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