PMID: 11308554Apr 20, 2001Paper

Numerical study of Lyapunov exponents for products of correlated random matrices

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
H Yamada, T Okabe

Abstract

We numerically study Lyapunov spectra and the maximal Lyapunov exponent (MLE) in products of real symplectic correlated random matrices, each of which is generated by a modified Bernoulli map. We can systematically investigate the influence of the correlation on the Lyapunov exponents because the statistical properties of the sequence generated by the map, whose correlation function shows power-law decay, have been well investigated. It is shown that the form of the scaled Lyapunov spectra does not change much even if the correlation of the sequence increases in the stationary region, and in the nonstationary region the forms are quite different from those obtained in the delta-correlated purely random case. The fluctuation strength dependence of the MLE changes with increasing correlation, and a different scaling law from that of the delta-correlated case can be observed in the nonstationary region. Moreover, the statistical properties of the probability distribution of the local Lyapunov exponents are quite different from those obtained from delta-correlated random matrices. Slower convergence that does not obey the central-limit theorem is observed for increasing correlation.

References

Jul 1, 1988·Physical Review A: General Physics·H A Posch, W G Hoover
Jun 15, 1989·Physical Review A: General Physics·A CrisantiA Vulpiani
Jul 15, 1991·Physical Review. a·G J Kissel
Aug 15, 1991·Physical Review. a·M FalcioniA Vulpiani
May 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·C Amitrano, R S Berry
Feb 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A CrisantiA Vulpiani
Mar 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics· de Oliveira MJ, A Petri
Feb 10, 1992·Physical Review Letters·C Amitrano, R S Berry

❮ Previous
Next ❯

Citations

May 21, 2005·The European Physical Journal. E, Soft Matter·H YamadaJ F R Archilla
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H Schomerus, M Titov

❮ Previous
Next ❯

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Akira Igarashi, Hiroaki Yamada
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Ignacio García-Mata, D L Shepelyansky
Physical Review. B, Condensed Matter
L A Turkevich, T D Holstein
© 2021 Meta ULC. All rights reserved