Recurrence quantification analysis of the period-doubling sequence
Vladim\'ir \v{S}pitalsk\'y
TL;DR
This paper provides a comprehensive symbolic recurrence plot and formulas for recurrence quantifiers of the well-known period-doubling sequence, enhancing understanding of its dynamical properties.
Contribution
It offers the first complete symbolic recurrence plot and asymptotic formulas for recurrence quantifiers of the period-doubling sequence.
Findings
Complete symbolic recurrence plot of the sequence
Derived formulas for asymptotic recurrence quantifiers
Enhanced understanding of the sequence's dynamical structure
Abstract
The period-doubling sequence is one of the most well-known aperiodic - sequences. In this paper, a complete description of its symbolic recurrence plot is given, and formulas for asymptotic values of basic recurrence quantifiers are derived.
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