Fibonacci bifurcation sequences and the Cvitanović-Feigenbaum functional equation

Jukka A. Ketoja; Olli Pekka Piirilä

doi:10.1016/0375-9601(89)90751-2

Fibonacci bifurcation sequences and the Cvitanović-Feigenbaum functional equation

Jukka A. Ketoja^*
, Olli Pekka Piirilä

^*Corresponding author for this work

Not published at VTT

University of Helsinki
Helsinki University of Technology

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

4 Citations (Scopus)

Abstract

In certain bifurcation sequences with periods of the bifurcating solutions following the Fibonacci numbers, the normal scaling factors tend to infinity. Still, one can define more complicated quantities which are universal for one-dimensional unimodal maps. We show that the observed universality can be formulated in terms of the Cvitanović-Feigenbaum functional equation with asymmetric scaling.

Original language	English
Pages (from-to)	488-492
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	138
Issue number	9
DOIs	https://doi.org/10.1016/0375-9601(89)90751-2
Publication status	Published - 17 Jul 1989
MoE publication type	Not Eligible

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title = "Fibonacci bifurcation sequences and the Cvitanovi{\'c}-Feigenbaum functional equation",

abstract = "In certain bifurcation sequences with periods of the bifurcating solutions following the Fibonacci numbers, the normal scaling factors tend to infinity. Still, one can define more complicated quantities which are universal for one-dimensional unimodal maps. We show that the observed universality can be formulated in terms of the Cvitanovi{\'c}-Feigenbaum functional equation with asymmetric scaling.",

author = "Ketoja, \{Jukka A.\} and Piiril{\"a}, \{Olli Pekka\}",

year = "1989",

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T1 - Fibonacci bifurcation sequences and the Cvitanović-Feigenbaum functional equation

AU - Ketoja, Jukka A.

AU - Piirilä, Olli Pekka

PY - 1989/7/17

Y1 - 1989/7/17

N2 - In certain bifurcation sequences with periods of the bifurcating solutions following the Fibonacci numbers, the normal scaling factors tend to infinity. Still, one can define more complicated quantities which are universal for one-dimensional unimodal maps. We show that the observed universality can be formulated in terms of the Cvitanović-Feigenbaum functional equation with asymmetric scaling.

AB - In certain bifurcation sequences with periods of the bifurcating solutions following the Fibonacci numbers, the normal scaling factors tend to infinity. Still, one can define more complicated quantities which are universal for one-dimensional unimodal maps. We show that the observed universality can be formulated in terms of the Cvitanović-Feigenbaum functional equation with asymmetric scaling.

UR - https://www.scopus.com/pages/publications/45149144743

U2 - 10.1016/0375-9601(89)90751-2

DO - 10.1016/0375-9601(89)90751-2

M3 - Article

AN - SCOPUS:45149144743

SN - 0375-9601

VL - 138

SP - 488

EP - 492

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

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

IS - 9

ER -

Fibonacci bifurcation sequences and the Cvitanović-Feigenbaum functional equation

Abstract

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