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Luan PG, Ye Z. Statistics of the Lyapunov exponent in one-dimensional layered systems. Phys Rev E Stat Nonlin Soft Matter Phys. 2001;64(6):066609doi: 10.1103/PhysRevE.64.066609.
Luan, P. G., & Ye, Z. (2001). Statistics of the Lyapunov exponent in one-dimensional layered systems. Physical review. E, Statistical, nonlinear, and soft matter physics, 64(6), 066609. https://doi.org/10.1103/PhysRevE.64.066609
Luan, P G, and Ye, Z. "Statistics of the Lyapunov exponent in one-dimensional layered systems." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 64,6 (2001): 066609. doi: https://doi.org/10.1103/PhysRevE.64.066609
Luan PG, Ye Z. Statistics of the Lyapunov exponent in one-dimensional layered systems. Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Dec;64(6):066609. doi: 10.1103/PhysRevE.64.066609. Epub 2001 Nov 20. PMID: 11736298.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Dec;64(6):066609. doi: 10.1103/PhysRevE.64.066609. Epub 2001 Nov 20.

Statistics of the Lyapunov exponent in one-dimensional layered systems.

Physical review. E, Statistical, nonlinear, and soft matter physics

P G Luan, Z Ye

Affiliations

  1. Wave Phenomena Laboratory, Department of Physics, National Central University, Chung-li 32054, Taiwan.

PMID: 11736298 DOI: 10.1103/PhysRevE.64.066609

Abstract

Localization of acoustic waves in a one-dimensional water duct containing many randomly distributed air filled blocks is studied. Both the Lyapunov exponent and its variance are computed. Their statistical properties are also explored extensively. The results reveal that in this system a single-parameter scaling is generally inadequate no matter whether the frequency we consider is located in a pass band or in a band gap. This contradicts the earlier observations in an optical case. We compare the results with two optical cases and give a possible explanation of the origin of the different behaviors.

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