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  Decay of the distance autocorrelation and Lyapunov exponents

Mendes, C. F. O., da Silva, R. M., & Beims, M. W. (2019). Decay of the distance autocorrelation and Lyapunov exponents. Physical Review E, 99(6): 062206. doi:10.1103/PhysRevE.99.062206.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-6F06-A Version Permalink: https://hdl.handle.net/21.11116/0000-0004-6F07-9
Genre: Journal Article

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1903.08202.pdf (Preprint), 682KB
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 Creators:
Mendes, C. F. O.1, Author
da Silva, R. M.1, Author
Beims, Marcus W.2, Author           
Affiliations:
1external, ou_persistent22              
2Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 Abstract: This work presents numerical evidence that for discrete dynamical systems with one positive Lyapunov exponent the decay of the distance autocorrelation is always related to the Lyapunov exponent. Distinct decay laws for the distance autocorrelation are observed for different systems, namely, exponential decays for the quadratic map, logarithmic for the Henon map, and power-law for the conservative standard map. In all these cases the decay exponent is close to the positive Lyapunov exponent. For hyperchaotic conservative systems the power-law decay of the distance autocorrelation is not directly related to any Lyapunov exponent.

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 Dates: 2019-06-072019-06-01
 Publication Status: Issued
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 Identifiers: ISI: 000470876100001
DOI: 10.1103/PhysRevE.99.062206
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Title: Physical Review E
  Other : Phys. Rev. E
Source Genre: Journal
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Publ. Info: Melville, NY : American Physical Society
Pages: - Volume / Issue: 99 (6) Sequence Number: 062206 Start / End Page: - Identifier: ISSN: 1539-3755
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012