Strong laws for recurrence quantification analysis

Abstract

The recurrence rate and determinism are two of the basic complexity measures studied in the recurrence quantification analysis. In this paper, the recurrence rate and determinism are expressed in terms of the correlation sums, and strong laws of large numbers are given for them.

References in corpus (2)

• Recurrence Plots for the Analysis of Complex Systems
• Analytical framework for recurrence-network analysis of time series

Cited by in corpus (4)

• Trends in recurrence analysis of dynamical systems
• Radius selection using kernel density estimation for the computation of nonlinear measures
• Recurrence quantification analysis of the period-doubling sequence
• Correlation sum and recurrence determinism for interval maps