A note on the evaluation of Feigenbaum's δs via a direct method

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Abstract

We calculate, via the location of superstable orbits, Feigenbaum’s δ for maps with a single maximum of order √ 2 ≤β≤10 . Estimates are found using orbits of up to period 2 32 . Results are presented for integer βand β= √ 2 , √ 3 , e, π, φ, φ 2 and φ 3 . A discrepancy between the results presented and the results of previous work for odd values of βis noted.


Original languageEnglish
Article number105328
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume90
Issue number2020
Early online date21 May 2020
Publication statusPublished - 1 Nov 2020

Keywords

  • Discrete Chaos
  • Feigenbaum Constants
  • Period Doubling

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