Double precision errors in the logistic map: statistical study and dynamical interpretation.

Double precision errors in the logistic map: statistical study and dynamical interpretation. Research Abstract Details 

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Double precision errors in the logistic map: statistical study and dynamical interpretation. Abstract Text:

J A Oteo,J Ros,J A Oteo,J Ros,

The nature of the round-off errors that occur in the usual double precision computation of the logistic map is studied in detail. Different iterative regimes from the whole panoply of behaviors exhibited in the bifurcation diagram are examined, histograms of errors in trajectories given, and for the case of fully developed chaos an explicit formula is found. It is shown that the statistics of the largest double precision error as a function of the map parameter is characterized by jumps whose location is determined by certain boundary crossings in the bifurcation diagram. Both jumps and locations seem to present geometric convergence characterized by the two first Feigenbaum constants. Eventually, a comparison with Benford's law for the distribution of the leading digit of compilation of numbers is discussed.

Double precision errors in the logistic map: statistical study and dynamical interpretation. Publishing Authors By Initials

JA Oteo,J Ros,JA Oteo,J Ros,

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Double precision errors in the logistic map: statistical study and dynamical interpretation. Journal Published:

PUBLICATION TYPE: Research Support, Non-U.S. Gov

Journal: Physical review. E, Statistical, nonlinear, and so

VOLUME: 76

Page Numbers: 036214

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ISSN: 1539-3755

DAY: 26

MONTH: 09

YEAR: 2007

Double precision errors in the logistic map: statistical study and dynamical interpretation. Information

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LANGUAGE: eng

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Grant and Affiliation Information for Double precision errors in the logistic map: statistical study and dynamical interpretation.

AFFILIATION: Departament de Física Teórica, Universitat de València, 46100-Burjassot, València, Spain. oteo@uv.es

Country: United States

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MEDLINETA: Phys Rev E Stat Nonlin Soft Ma

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