ON THE UNIVERSALITY CLASS DEPENDENCE OF PERIOD DOUBLING INDEXES

M FEINGOLD; DL GONZALEZ; MO MAGNASCO; O PIRO

ON THE UNIVERSALITY CLASS DEPENDENCE OF PERIOD DOUBLING INDEXES

M FEINGOLD, DL GONZALEZ, MO MAGNASCO, O PIRO

Department of Physics

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

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 GB
Pages (from-to)	272-276
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	156
Issue number	6
State	Published - 24 Jun 1991

Cite this

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title = "ON THE UNIVERSALITY CLASS DEPENDENCE OF PERIOD DOUBLING INDEXES",

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.",

author = "M FEINGOLD and DL GONZALEZ and MO MAGNASCO and O PIRO",

year = "1991",

month = jun,

day = "24",

language = "אנגלית",

volume = "156",

pages = "272--276",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier",

number = "6",

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T1 - ON THE UNIVERSALITY CLASS DEPENDENCE OF PERIOD DOUBLING INDEXES

AU - FEINGOLD, M

AU - GONZALEZ, DL

AU - MAGNASCO, MO

AU - PIRO, O

PY - 1991/6/24

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.

M3 - מאמר

SN - 0375-9601

VL - 156

SP - 272

EP - 276

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

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

IS - 6

ER -

ON THE UNIVERSALITY CLASS DEPENDENCE OF PERIOD DOUBLING INDEXES

Abstract

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