Chaotic dynamics can be considered as a physical phenomenon that bridges the regular
evolution of systems with the random one. These two alternative states of physical …

The methods currently used to determine the scaling exponent of a complex dynamic
process described by a time series are based on the numerical evaluation of variance. This …

Background: We developed CEPS as an open access MATLAB® GUI (graphical user
interface) for the analysis of Complexity and Entropy in Physiological Signals (CEPS), and …

The adoption of the Kolmogorov–Sinai entropy is becoming a popular research tool among
physicists, especially when applied to a dynamical system fitting the conditions of validity of …

The recurrence of trajectories to a neighborhood of a region in the phase space can be used
to analyze important properties of dynamical systems. When this tool is applied to …

Chaos in a modified van der Pol system and in its fractional order systems is studied in this
paper. It is found that chaos exists both in the system and in the fractional order systems with …

An entropic approach to the analysis of time series. Page 1 AN ENTROPIC APPROACH TO THE
ANALYSIS OF TIME SERIES Nicola Scafetta, BS, MS Dissertation Prepared for the Degree of …

This paper introduces a novel methodology that utilizes latency to unveil time-series
dependence patterns. A customized statistical test detects memory dependence in event …

Problem: Maxwell's Agent (MA) is a thought experiment about whether the second Law is
violated at smaller scales. This is a complex problem because the scale dependencies are …

The diffusion entropy analysis measures the scaling of the probability density function (pdf)
of the diffusion process generated by time series imagined as a physical source of …