On the universality class dependence of period doubling indices

Mario Feingold; Diego L. Gonzalez; Marcelo O. Magnasco; Oreste Piro

doi:10.1016/0375-9601(91)90173-6

On the universality class dependence of period doubling indices

Mario Feingold
, Diego L. Gonzalez
, Marcelo O. Magnasco
, Oreste Piro

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The dependence on ν of the period doubling scaling indices for unimodal maps with a critical point of the form |x|^ν is numerically investigated. A new symbolic dynamics based computation technique working in configuration space is introduced. The existence of an upper bound for δ(ν→∞) is numerically verified. An accurate estimate of 29.8 is given for this limit. Moreover, the global functional form of δ(ν) is shown to have an interesting symmetry.

Original language	English
Pages (from-to)	272-276
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	156
Issue number	6
DOIs	https://doi.org/10.1016/0375-9601(91)90173-6
State	Published - 24 Jun 1991
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/0375-9601(91)90173-6

Cite this

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abstract = "The dependence on ν of the period doubling scaling indices for unimodal maps with a critical point of the form |x|ν is numerically investigated. A new symbolic dynamics based computation technique working in configuration space is introduced. The existence of an upper bound for δ(ν→∞) is numerically verified. An accurate estimate of 29.8 is given for this limit. Moreover, the global functional form of δ(ν) is shown to have an interesting symmetry.",

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AU - Magnasco, Marcelo O.

AU - Piro, Oreste

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Y1 - 1991/6/24

N2 - The dependence on ν of the period doubling scaling indices for unimodal maps with a critical point of the form |x|ν is numerically investigated. A new symbolic dynamics based computation technique working in configuration space is introduced. The existence of an upper bound for δ(ν→∞) is numerically verified. An accurate estimate of 29.8 is given for this limit. Moreover, the global functional form of δ(ν) is shown to have an interesting symmetry.

AB - The dependence on ν of the period doubling scaling indices for unimodal maps with a critical point of the form |x|ν is numerically investigated. A new symbolic dynamics based computation technique working in configuration space is introduced. The existence of an upper bound for δ(ν→∞) is numerically verified. An accurate estimate of 29.8 is given for this limit. Moreover, the global functional form of δ(ν) is shown to have an interesting symmetry.

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U2 - 10.1016/0375-9601(91)90173-6

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M3 - Article

AN - SCOPUS:0013547627

SN - 0375-9601

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

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ER -

On the universality class dependence of period doubling indices

Abstract

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